<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2021.684226</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Masculinity and Lying</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Vorsatz</surname> <given-names>Marc</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1390969/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Sanchez-Pages</surname> <given-names>Santiago</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1277731/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Turiegano</surname> <given-names>Enrique</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1316861/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Economic Analysis, National University of Distance Education (UNED)</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Political Economy, King&#x00027;s College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Biology, Autonomous University of Madrid</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Agne Kajackaite, Social Science Research Center Berlin, Germany</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Roel Van Veldhuizen, Social Science Research Center Berlin, Germany; Kobe Millet, Vrije Universiteit Amsterdam, Netherlands</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Santiago Sanchez-Pages <email>santiago.sanchez-pages&#x00040;kcl.ac.uk</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Personality and Social Psychology, a section of the journal Frontiers in Psychology</p></fn></author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>07</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>684226</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>03</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>06</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2021 Vorsatz, Sanchez-Pages and Turiegano.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Vorsatz, Sanchez-Pages and Turiegano</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license> </permissions>
<abstract><p>Dishonesty in communication has important economic implications. The standing literature has shown that lying is less pervasive than predicted by standard economic theory. We explore whether biology can help to explain this behavior. In a sample of men, we study whether masculine traits are related to (dis)honesty in a sender-receiver game. We study three masculine physical traits: the second-to-fourth digit ratio, facial morphometric masculinity and the facial width-to-height ratio. These biomarkers display significant associations with lying and deception in the game. We also explore the extent to which these effects operate through social preferences or through beliefs about the behavior of receivers.</p></abstract>
<kwd-group>
<kwd>lying</kwd>
<kwd>deception</kwd>
<kwd>cheap-talk</kwd>
<kwd>masculinity</kwd>
<kwd>testosterone</kwd>
</kwd-group>
<kwd-group>
<title>JEL codes:</title>
<kwd>C72</kwd>
<kwd>C91</kwd>
<kwd>D83</kwd>
<kwd>D87</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="105"/>
<page-count count="13"/>
<word-count count="12314"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1. Introduction</title>
<p>Truthful communication is a pillar of human interactions. Economic exchanges rely on language being trustworthy. Many buyers consult financial advisors before acquiring stocks or probe sellers on the quality of their goods. Honest communication is also crucial in policy making. Central banks make pronouncements which influence the actions of investors and stock traders. Regulatory bodies consult private entities before setting new standards. A third area where communication is crucial is organizations. Division managers, for example, report local market conditions to the their superiors who then use this information to devise their plans for the firm.</p>
<p>But better-informed agents often have incentives to misrepresent what they know in order to alter the decision-making process in their favor. Central bankers have an incentive to manipulate economic expectations (Stein, <xref ref-type="bibr" rid="B83">1989</xref>). Private firms hired by financial agencies may recommend the adoption of standards to their own advantage (Melumad and Shibano, <xref ref-type="bibr" rid="B56">1994</xref>). Low-level managers may bias their reports to maximize the profits of their division rather than of the entire firm (Dessein, <xref ref-type="bibr" rid="B17">2002</xref>). Given that dishonesty in communication severely undermines trust (e.g., Gawn and Innes, <xref ref-type="bibr" rid="B24">2018</xref>), it is of great importance to study its prevalence and determinants.</p>
<p>The experimental literature on strategic information transmission has shown that individuals engage in truthful communication above standard game-theoretical predictions (e.g., Gneezy, <xref ref-type="bibr" rid="B29">2005</xref>; Cai and Wang, <xref ref-type="bibr" rid="B9">2006</xref>). This literature also highlights that purely monetary cost-benefit calculations cannot explain such behavior. A substantial proportion of individuals refuse to tell lies that may benefit them at the expense of others (e.g., Sanchez-Pages and Vorsatz, <xref ref-type="bibr" rid="B78">2007</xref>; Hurkens and Kartik, <xref ref-type="bibr" rid="B39">2009</xref>), even if these lies can lead to Pareto-superior allocations (Erat and Gneezy, <xref ref-type="bibr" rid="B21">2012</xref>)<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref>.</p>
<p>In this paper, we offer an exploratory study of the role biological factors play in explaining the individual heterogeneity observed in honesty in strategic communication. In particular, we focus on masculine physical traits. The development of masculine physiology-related traits during key life stages is associated to organizational changes in the neural circuitry of the brain which can in turn affect behavior (e.g., Sisk and Zehr, <xref ref-type="bibr" rid="B81">2005</xref>).</p>
<p>The study of masculine traits is particularly relevant in the context of strategic information transmission because of two reasons. First, men are typically overrepresented in environments such as firms, finance and policy making where communication of this sort is pervasive<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref>. Second, a growing body of literature has shown that biological mechanisms, and sexual hormones in particular, influence moral decision-making (e.g., Capraro, <xref ref-type="bibr" rid="B10">2018</xref>). As strategic communication often entails the choice between truth-telling (an almost universal moral principle) and self-serving lies (widely deemed as antisocial), masculine traits are likely to relate to this choice.</p>
<p>The experimental literature has shown that individuals with more masculine facial features are less trustworthy (Stirrat and Perrett, <xref ref-type="bibr" rid="B84">2010</xref>) and more likely to cheat in non-strategic settings (Haselhuhn and Wong, <xref ref-type="bibr" rid="B32">2012</xref>; Geniole et al., <xref ref-type="bibr" rid="B25">2015</xref>). Jia et al. (<xref ref-type="bibr" rid="B40">2014</xref>) find that CEOs with more masculine facial features are more likely to be subject to external audits and to be accused of financial wrongdoings. But to the best of our knowledge, the present paper is the first to explore whether markers of masculinity correlate with lying and deception in strategic communication.</p>
<p>We conduct a laboratory experiment based on the sender-receiver game in Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>) with a sample of 168 males. Participants are matched in pairs; one is assigned to be the sender, the other to be the receiver. Only the sender is informed about the state of the world which determines players&#x00027; payoffs conditional on the action the receiver will take later on. The sender sends a non-verifiable message to the receiver about the state of the world. The receiver then decides which action to take and payoffs are realized. Preferences are opposed: the best outcome for the sender is the worst for the receiver and viceversa. As a result, the standard game-theoretical prediction is that senders&#x00027; messages are entirely uninformative.</p>
<p>In our analysis, we make use of the distinction between lying and deception introduced by Sobel (<xref ref-type="bibr" rid="B82">2020</xref>). Lying refers to the content of messages. Deception entails misleading others to obtain an advantage, which in our design can be achieved by lying when one expects to be trusted but also by telling the truth when one expects to be distrusted (Sutter, <xref ref-type="bibr" rid="B86">2009</xref>).</p>
<p>We study how lying and deception by senders in this game correlate with a set of masculine physical traits. Two of the biomarkers we consider are related to testosterone exposure at two developmental periods, <italic>in utero</italic> (second-to-fourth digit ratio) and during puberty (facial morphometric masculinity). The third one has been associated to antisocial and dominance behavior (facial Width-to-Height ratio). We discuss these markers in detail and the debates about their relevance in the following section.</p>
<p>Our results suggest the existence of a significant relationship between the masculine physical traits we study and (dis)honesty in strategic communication. We find that individuals exposed to higher levels of testosterone <italic>in utero</italic> and with more masculine facial features are more likely to send truthful messages. However, we also find that the latter engage more often in deception through truth-telling. In contrast, individuals exposed to higher prenatal levels of testosterone seem to display a stronger lie aversion as they are more likely to engage in costly truth-telling, i.e., send a truthful message when it is expected to be trusted.</p>
<p>Finally, we explore whether these associations between lying and the masculine physical features we consider operate mostly through social preferences (e.g., lying aversion) or through beliefs about the behavior of receivers. Results suggest that preferences are the main drivers of these effects.</p>
<p>The present paper contributes to the rapidly expanding literature on the influence of biometric traits and sexual hormones on economic behavior. Studies in this area have shown that differences in circulating and basal levels of sexual hormones influence risk preferences (e.g., Garbarino et al., <xref ref-type="bibr" rid="B23">2011</xref>), social preferences (Buser, <xref ref-type="bibr" rid="B5">2012a</xref>; Sanchez-Pages and Turiegano, <xref ref-type="bibr" rid="B77">2013</xref>), bidding in auctions (Chen et al., <xref ref-type="bibr" rid="B15">2013</xref>; Pearson and Schipper, <xref ref-type="bibr" rid="B66">2013</xref>; Sanchez-Pages et al., <xref ref-type="bibr" rid="B75">2014</xref>; Schipper, <xref ref-type="bibr" rid="B79">2015</xref>), cooperation in social dilemmas (Sanchez-Pages and Turiegano, <xref ref-type="bibr" rid="B76">2010</xref>; Cecchi and Duchoslav, <xref ref-type="bibr" rid="B13">2018</xref>) and willingness to compete (Buser, <xref ref-type="bibr" rid="B6">2012b</xref>; Wozniak and Harbaugh, <xref ref-type="bibr" rid="B103">2014</xref>). The closest papers to ours in this strand of the literature have studied the effect of administered testosterone on non-strategic misreporting (Wibral et al., <xref ref-type="bibr" rid="B101">2012</xref>) and on strategic gambling in poker (van Honk et al., <xref ref-type="bibr" rid="B95">2015</xref>). In contrast to these two papers, we consider stable physiology-related traits rather than hormone infusions.</p>
<p>There are two other papers related to ours which explore the correlation between biological data and honesty in sender-receiver games. Using eye-tracking techniques, Wang et al. (<xref ref-type="bibr" rid="B99">2010</xref>) observed that senders look disproportionately at the payoffs corresponding to the true state of the world and that their pupils dilate when they send deceptive messages. On the other hand, Volz et al. (<xref ref-type="bibr" rid="B97">2015</xref>) studied the neural correlates of dishonesty using fMRI and found that brain activation patterns can reveal whether the sender intends to deceive the receiver.</p>
<p>Finally, our paper relates to the literature on gender differences in lying in sender-receiver games. If masculinity and femininity are viewed as a continuum, we would expect our results to reflect to some extent any gender differences observed in these studies. A recent meta analysis on deception games<xref ref-type="fn" rid="fn0003"><sup>3</sup></xref> by Capraro (<xref ref-type="bibr" rid="B10">2018</xref>) showed that male senders are more likely to lie than female senders when lies benefit them at the expense of the receiver and when lies hurt the sender but benefit the receiver. We obtain results along these lines when studying deception and costly truth-telling, in the sense that individuals exposed to more prenatal testosterone and with more masculine facial features engage more often in these behaviors. However, for the purpose of our study, gender is a too coarse marker of physiological differences as it is binary and it is heavily influenced by socialization.</p></sec>
<sec id="s2">
<title>2. Masculine Physical Traits</title>
<p>Masculinity can be defined as "a set of physical and behavioral traits that are male typical" (Lippa, <xref ref-type="bibr" rid="B47">2016</xref>). These traits can distinguish men from women and/or order men by their degree of male typicality. Masculinity is thus not a latent trait but a set of dimensions that are typical of men. From all possible masculine traits proposed in the literature, the ones we choose in our study are based on rather stable physical features.</p>
<p>A widely studied physiological masculine trait is exposure to androgens -testosterone in particular- during key phases of development. Androgens produce distinctive changes in the male body, such as greater musculoskeletal development and the appearance of secondary sexual characteristics. More importantly, they have organizational effects on the brain, that is, they modify neural structures and can therefore influence adult behavior (Sisk and Zehr, <xref ref-type="bibr" rid="B81">2005</xref>). In particular, testosterone seems to affect the structure of the amygdala, a cluster of neurons responsible for emotional reactions such as responses to interpersonal challenges and threats (van Honk et al., <xref ref-type="bibr" rid="B92">2012</xref>).</p>
<p>There are two stages of development during which androgen exposure has crucial organizational effects on the brain: the prenatal period and puberty (Schulz et al., <xref ref-type="bibr" rid="B80">2009</xref>; Berenbaum and Beltz, <xref ref-type="bibr" rid="B4">2011</xref>). Androgens levels during these two periods have been proxied in the literature with two types of morphological features, the second-to-fourth digit ratio (2D:4D) and facial morphometric masculinity (fMM).</p>
<sec>
<title>2.1. 2D:4D</title>
<p>The second-to-fourth digit ratio (2D:4D) is the ratio between the length of the index and the ring fingers. The available evidence suggests that the 2D:4D ratio is related to the ratio of amniotic testosterone/estrogen concentrations (Zheng and Cohn, <xref ref-type="bibr" rid="B105">2011</xref>; Swift-Gallant et al., <xref ref-type="bibr" rid="B87">2020</xref>). A lower 2D:4D ratio indicates higher relative exposure to masculine sexual hormones during foetal development. Men across countries have shorter ratios than women (H&#x000F6;nekopp et al., <xref ref-type="bibr" rid="B35">2007</xref>; Grimbos et al., <xref ref-type="bibr" rid="B30">2010</xref>). These differences are already present in human embryos (Galis et al., <xref ref-type="bibr" rid="B22">2009</xref>). The underlying mechanism seems to be that both digit growth and the development of primary sexual characteristics are influenced by the Hox genes (Manning et al., <xref ref-type="bibr" rid="B51">1998</xref>). Although early studies showed a correlation between 2D:4D and circulating (current) testosterone in adults, more recent ones have conclusively rejected that association (e.g., Honekopp and Watson, <xref ref-type="bibr" rid="B36">2010</xref>).</p>
<p>Several studies have cast doubts on the validity of 2D:4D as a proxy for prenatal testosterone exposure. These studies find no correlation between 2D:4D and testosterone levels in umbilical blood or mother&#x00027;s blood (Hickey et al., <xref ref-type="bibr" rid="B34">2010</xref>; van Leeuwen et al., <xref ref-type="bibr" rid="B96">2020</xref>). However, these methods to measure foetal hormonal levels are imprecise. In mammals, testosterone levels at birth measured from the umbilical cord are substantially lower than during pregnancy. In addition, the role of the placenta in the process of blood exchange with the mother is to regulate the hormone levels the foetus is exposed to. In contrast, there is abundant indirect evidence of 2D:4D correlating with prenatal testosterone coming from studies of patients with congenital adrenal hyperplasia, Klinefelter&#x00027;s syndrome and androgen insensitivity syndrome (for meta analyzes, see Honekopp and Watson, <xref ref-type="bibr" rid="B36">2010</xref>; Richards et al., <xref ref-type="bibr" rid="B70">2020</xref>; Sadr et al., <xref ref-type="bibr" rid="B74">2020</xref>). This evidence plus the lack of competing explanations (Swift-Gallant et al., <xref ref-type="bibr" rid="B87">2020</xref>) lead us to believe that that 2D:4D remains the best available proxy for testosterone levels during foetal development<xref ref-type="fn" rid="fn0004"><sup>4</sup></xref>.</p>
<p>The relationship between 2D:4D and strategic behavior is not fully understood yet. Earlier studies showed that men with lower 2D:4D are more prosocial and cooperative (Millet and Dewitte, <xref ref-type="bibr" rid="B59">2006</xref>, <xref ref-type="bibr" rid="B60">2009</xref>; van den Bergh and Dewitte, <xref ref-type="bibr" rid="B90">2006</xref>). Later, large studies found no evidence of sexual hormones affecting decision making (e.g., Zethraeus et al., <xref ref-type="bibr" rid="B104">2009</xref>; Ranehill et al., <xref ref-type="bibr" rid="B69">2018</xref>) and economic preferences (Neyse et al., <xref ref-type="bibr" rid="B64">2021</xref>). Recent studies suggest that the role of 2D:4D is very context-dependent (e.g., Ryckmans et al., <xref ref-type="bibr" rid="B73">2015</xref>; Cecchi and Duchoslav, <xref ref-type="bibr" rid="B13">2018</xref>), especially when the context challenges individual status (Millet, <xref ref-type="bibr" rid="B57">2011</xref>; Manning et al., <xref ref-type="bibr" rid="B50">2014</xref>; Millet and Buehler, <xref ref-type="bibr" rid="B58">2018</xref>). One possible reason for this is that circulating testosterone, which seems to activate the neural circuitry affected by prenatal testosterone exposure, varies with environmental stimuli (Montoya et al., <xref ref-type="bibr" rid="B63">2013</xref>). Several studies support the idea that the effects of testosterone levels are modulated by circuits established by prenatal exposure to sex hormones (van Honk et al., <xref ref-type="bibr" rid="B93">2011a</xref>, <xref ref-type="bibr" rid="B92">2012</xref>; Buskens et al., <xref ref-type="bibr" rid="B7">2016</xref>). Evidence from brain imaging underscores that prenatal exposure to sex hormones matters for both neural and behavioral manifestations of testosterone in adult behavior (Chen et al., <xref ref-type="bibr" rid="B14">2016</xref>). Meta analyzes linking this trait with violent and aggressive behaviors (Honekopp and Watson, <xref ref-type="bibr" rid="B37">2011</xref>; Turanovic et al., <xref ref-type="bibr" rid="B89">2017</xref>) also suggest that 2D:4D may affect economic decisions.</p>
<p>Following the standard procedures in the literature (e.g., Pearson and Schipper, <xref ref-type="bibr" rid="B65">2012</xref>) we scanned both hands of all participants. Using the TPS morphometric software (Rohlf, <xref ref-type="bibr" rid="B72">2015</xref>) on these images, two researcher assistants took digit length measures of the second and fourth digits of each hand from the flexion crease proximal to the palm to the top of the digit. Interrater correlation was <italic>r</italic> &#x0003D; 0.747 for the right hand and <italic>r</italic> &#x0003D; 0.732 for the left hand. The average of the four values is the first of our markers of interest. In our analyzes below we have transformed the variable so that higher values are meant to signify higher exposure to prenatal testosterone.</p></sec>
<sec>
<title>2.2. Facial Morphometric Masculinity</title>
<p>Although there are no direct measures relating pubertal hormone levels to the facial shape, it is well established that higher androgens levels during puberty are related to facial bone size and certain facial features (e.g., Mare&#x0010D;kov&#x000E1; et al., <xref ref-type="bibr" rid="B52">2011</xref>). Given that testosterone exposure in adolescence creates sex differences in the face shape, another masculine physical trait to be considered is the degree of difference between a man&#x00027;s face and a female face of reference.</p>
<p>There is a wide variety of methods to measure facial dimorphism<xref ref-type="fn" rid="fn0005"><sup>5</sup></xref>. Specifically, we employ facial morphometric masculinity (fMM), which is in line with others employed in the literature (van Dongen, <xref ref-type="bibr" rid="B91">2014</xref>; Ekrami et al., <xref ref-type="bibr" rid="B20">2021</xref>). In previous studies, we found an association of fMM with rejections of low offers in the ultimatum game (Sanchez-Pages and Turiegano, <xref ref-type="bibr" rid="B77">2013</xref>), and more aggressive bidding in the first price auction (Sanchez-Pages et al., <xref ref-type="bibr" rid="B75">2014</xref>). One key advantage of morphometric methods is that they gather information from the entire facial shape rather than from specific distances or angles. Specifically, fMM corresponds to the Procrustes distance between the shape of the participant&#x00027;s face and a reference female face. This distance is computed from a number of landmark coordinates placed on the facial image. Two research assistants independently placed 39 of these landmarks (LMs) in the image resulting from averaging the two photographs of each subject. These LMs can be unambiguously identified in every photo (see <xref ref-type="fig" rid="F1">Figure 1</xref>) and are thus comparable across individuals. Since we are interested in the changes in the facial shape induced by the exposure to testosterone during puberty, LMs were not placed on soft parts of the face, which are more prone to changes during life. We built the female reference image by averaging the photos of 100 females of similar age and background to the subjects in our sample. The TPS software (Rohlf, <xref ref-type="bibr" rid="B72">2015</xref>) computed a fMM score for each individual with higher scores indicating a higher distance between the subject&#x00027;s face and the average female face, that is, higher facial masculinity. This software also implements a correction accounting for LM placement error across researchers. The resulting score is our second trait of interest.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Facial measures used to compute fWHR.</p></caption>
<graphic xlink:href="fpsyg-12-684226-g0001.tif"/>
</fig></sec>
<sec>
<title>2.3. Facial Width-To-Height Ratio</title>
<p>The available evidence suggests that men with certain facial features tend to be more aggressive and less prosocial (Geniole et al., <xref ref-type="bibr" rid="B25">2015</xref>; Haselhuhn et al., <xref ref-type="bibr" rid="B31">2015</xref>). Some of these features are based on raters&#x00027; perceptions whereas others are calculated from physiological markers. Perceived masculinity is problematic because subjective judgments tend to be influenced by perceived health and skin color. Objective measures are better suited for our purposes. The facial width-to-height ratio (fWHR), first described by Weston et al. (<xref ref-type="bibr" rid="B100">2007</xref>), is probably the most popular among these because it is very easy to compute: fWHR is the ratio between the width and the height of the face.</p>
<p>Individuals with higher fWHR engage more often in threat and dominance behaviors and are perceived as more threatening and dominant (Geniole et al., <xref ref-type="bibr" rid="B26">2014</xref>). They also are more prone to engage in antisocial behavior (for meta analyzes see Haselhuhn et al., <xref ref-type="bibr" rid="B33">2014</xref>, <xref ref-type="bibr" rid="B31">2015</xref>) and display superior deception skills (Matsumoto and Hwang, <xref ref-type="bibr" rid="B53">2021</xref>). Elite hockey players with higher fWHR are sanctioned with more penalty minutes over the season (Carr&#x000E9; and McCormick, <xref ref-type="bibr" rid="B12">2008</xref>). Since fWHR is also associated with dominance in non-human primates (Lefevre et al., <xref ref-type="bibr" rid="B45">2014</xref>), some authors have argued that the trait serves, or at least served in our evolutionary past, as a signal of aggression and dominance in inter-male competition (Geniole et al., <xref ref-type="bibr" rid="B25">2015</xref>; Wang et al., <xref ref-type="bibr" rid="B98">2019</xref>). In economic games, this marker has been shown to correlate with the propensity to exploit others in the trust game (Stirrat and Perrett, <xref ref-type="bibr" rid="B84">2010</xref>; Sanchez-Pages et al., <xref ref-type="bibr" rid="B75">2014</xref>).</p>
<p>To construct the fWHR, we took two full frontal facial color photographs of our subjects at standardized light and distance conditions. They were asked to remove any facial adornments and were carefully instructed to look into the camera with a neutral expression. We later converted these images to a 8-bit gray-scale format. Using the TPS morphometric software and following the method described in Weston et al. (<xref ref-type="bibr" rid="B100">2007</xref>), two research assistants measured the maximum horizontal (bizygomatic) distance from the left to the right cheekbone and divided it by the vertical distance between the lip and brow (see <xref ref-type="fig" rid="F2">Figure 2</xref>). The correlation between their measures was <italic>r</italic> &#x0003D; 0.840. The average of the ratios obtained by the two researchers is our third and final masculine trait of interest.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Facial landmarks used to compute fMM.</p></caption>
<graphic xlink:href="fpsyg-12-684226-g0002.tif"/>
</fig>
<p>It is important to note at this point that the available evidence strongly suggests that fWHR is not sexually dimorphic (e.g., Kramer, <xref ref-type="bibr" rid="B43">2017</xref>). This casts some doubts on the value of fWHR as a masculine trait. The literature suggests that this lack of sex differences might be driven by the influence of body weight on the facial shape. For that reason, we also collected height and weight measurements of our subjects to construct their Body Mass Index (BMI) and we included it as a control in all our specifications.</p></sec></sec>
<sec id="s3">
<title>3. The Experiment</title>
<sec>
<title>3.1. Design</title>
<sec>
<title>3.1.1. Equilibrium Predictions</title>
<p>Our experimental design is based on Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>). First, nature randomly selects one of two tables, A or B, with equal probability. The chosen table &#x003B8;&#x02208;{<italic>A, B</italic>} determines how payoffs will be realized. There are two players, the <italic>sender</italic> and the <italic>receiver</italic>. Only the sender is informed about &#x003B8;. After being informed about the table selected, the sender sends a message to the receiver telling him<xref ref-type="fn" rid="fn0006"><sup>6</sup></xref> which table nature selected. Formally, the sender chooses a mixed strategy profile <inline-formula><mml:math id="M1"><mml:msubsup><mml:mrow><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mi>p</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>&#x02223;</mml:mo><mml:mi>&#x003B8;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:msubsup></mml:math></inline-formula> where <italic>m</italic>&#x02208;{<italic>A, B</italic>} is the message sent with <italic>p</italic>(<italic>A</italic>&#x02223;&#x003B8;)&#x0002B;<italic>p</italic>(<italic>B</italic>&#x02223;&#x003B8;) &#x0003D; 1.</p>
<p>The receiver observes the message <italic>m</italic> and must choose a mixed strategy over his available actions, A and B. The action taken <italic>s</italic>&#x02208;{<italic>A, B</italic>} is relevant for both players as it determines in conjunction with the table selected &#x003B8; the payoffs they receive. The payoff structure is of divergent interests (Crawford and Sobel, <xref ref-type="bibr" rid="B16">1982</xref>) as shown in the matrices in <xref ref-type="table" rid="T1">Table 1</xref>. This means that the best action for the receiver is the one that matches the table selected, i.e., <italic>s</italic> &#x0003D; &#x003B8;. The opposite holds for the sender. Lying occurs when the sender sends the message &#x0201C;The table selected is <xref ref-type="table" rid="T1">Table 1A</xref> (B)&#x0201D; when nature has actually selected <xref ref-type="table" rid="T1">Table 1B</xref> (A), i.e., when <italic>m</italic>&#x02260;&#x003B8;.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Payoff matrices.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Action A</bold></th>
<th valign="top" align="left"><bold>Action B</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="2" style="background-color:#bbbdc0"><bold>Table A</bold></td>
</tr>
<tr>
<td valign="top" align="left">40 for the sender</td>
<td valign="top" align="left">100 for the sender</td>
</tr>
<tr>
<td valign="top" align="left">100 for the receiver</td>
<td valign="top" align="left">40 for the receiver</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2" style="background-color:#bbbdc0"><bold>Table B</bold></td>
</tr>
<tr>
<td valign="top" align="left">100 for the sender</td>
<td valign="top" align="left">40 for the sender</td>
</tr>
<tr>
<td valign="top" align="left">40 for the receiver</td>
<td valign="top" align="left">100 for the receiver</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The receiver holds a belief profile <inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mi>&#x003BC;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi><mml:mo>&#x02223;</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo></mml:math></inline-formula> where &#x003BC;(<italic>m</italic>&#x02223;<italic>m</italic>) is the probability with which the receiver believes that the message <italic>m</italic> is truthful and action <italic>s</italic> &#x0003D; <italic>m</italic> will indeed earn him the highest payoff. Note that &#x003BC;(<italic>A</italic>&#x02223;<italic>m</italic>)&#x0002B;&#x003BC;(<italic>B</italic>&#x02223;<italic>m</italic>) &#x0003D; 1. Denote the mixed strategy of the receiver as <inline-formula><mml:math id="M3"><mml:msubsup><mml:mrow><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mi>q</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi><mml:mo>&#x02223;</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo></mml:math></inline-formula> where <italic>q</italic>(<italic>A</italic>&#x02223;<italic>m</italic>)&#x0002B;<italic>q</italic>(<italic>B</italic>&#x02223;<italic>m</italic>) &#x0003D; 1. As it is customary in the literature, we will interpret that a receiver trusted (or followed) the sender&#x00027;s message if he took the action that maximized his payoff if the message was truthful, i.e., when <italic>s</italic> &#x0003D; <italic>m</italic>.</p>
<p>Under these preferences, the standard game-theoretical prediction is that the set of sequential equilibria of the game are all "babbling": Senders send each message with the same probability regardless of the table chosen, i.e., <italic>p</italic>(<italic>A</italic>&#x02223;<italic>A</italic>) &#x0003D; <italic>p</italic>(<italic>A</italic>&#x02223;<italic>B</italic>) &#x0003D; <italic>p</italic>&#x02208;[0, 1], meaning that they lie with 50% probability. This renders messages completely uninformative, so receivers&#x00027; posterior beliefs remain identical to the prior, i.e., <inline-formula><mml:math id="M4"><mml:mi>&#x003BC;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>A</mml:mi><mml:mo>&#x02223;</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>&#x003BC;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>B</mml:mi><mml:mo>&#x02223;</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math></inline-formula>. Given this behavior on the part of senders, receivers should follow messages with 50% probability. Note that 1) risk attitudes do not alter this set of predictions and 2) the babbling equilibrium with <inline-formula><mml:math id="M5"><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math></inline-formula> is the unique logit agent quantal response equilibrium of the game (McKelvey and Palfrey, <xref ref-type="bibr" rid="B55">1995</xref>)<xref ref-type="fn" rid="fn0007"><sup>7</sup></xref>.</p></sec>
<sec>
<title>3.1.2. A Behavioral Taxonomy</title>
<p>Let us now introduce some behavioral considerations. Suppose that the sender expects the receiver to trust his message with more (less) than 50% probability. In that case the sender should tell a lie (the truth) under standard preferences (and independently of his risk attitude). It is at this point where we should make a crucial distinction between lying and deception: whereas lying is related to the <italic>content</italic> of the message, deception relates to the <italic>outcome</italic> the message is trying to induce (Sobel, <xref ref-type="bibr" rid="B82">2020</xref>). Obviously, lying occurs in our design when a subject sends an untruthful message, i.e., <italic>m</italic>&#x02260;&#x003B8;. On the other hand, we will say that a sender engages in deception when he sends a message aiming to induce the receiver to take the inferior action, that is, the best action for the sender (note again that we are assuming that receivers take the action they believe maximizes their own payoff). Therefore, a sender can be deceptive in our experiment either by lying when he expects the receiver to trust his message with more than 50% chance or by telling the truth when he expects the receiver to follow his message with less than 50% chance<xref ref-type="fn" rid="fn0008"><sup>8</sup></xref>.</p>
<p>On the other hand, a sender who tells the truth when he expects the receiver to trust his message with more than a 50% chance is not maximizing his expected payoff. We will say that this sender is a <italic>strong truth-teller</italic>. A sender who tells a lie when he expects the receiver to distrust his message with more than a 50% chance is not maximizing his expected payoff either and in addition he is lying. Given that such sender is paying a monetary cost and probably a psychic (lying) cost also to make the receiver obtain a higher payoff, we refer to this sender as an <italic>altruistic liar</italic><xref ref-type="fn" rid="fn0009"><sup>9</sup></xref> <xref ref-type="table" rid="T2">Table 2</xref> summarizes this behavioral taxonomy.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Behavioral taxonomy by messages and beliefs.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Message \ Belief</bold></th>
<th valign="top" align="left"><bold>Trust &#x0003C;50%</bold></th>
<th valign="top" align="left"><bold>Trust &#x0003E; 50%</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Truthful</bold></td>
<td valign="top" align="left">Deception</td>
<td valign="top" align="left">Strong truth-telling</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Untruthful</bold></td>
<td valign="top" align="left">Lying</td>
<td valign="top" align="left">Lying</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Altruistic lying</td>
<td valign="top" align="left">Deception</td>
</tr>
</tbody>
</table>
</table-wrap></sec></sec>
<sec>
<title>3.2. Procedures</title>
<p>The study was conducted with undergraduate students at the Universidad Aut&#x000F3;noma de Madrid (UAM), Spain, in early 2016. It was approved by the UAM Research Ethics Committee (reference CEI 62-1086). Subjects were recruited from the subject pool of the Madrid Laboratory for Experimental Economics (MADLEE) and with posters and flyers distributed within the Faculty of Sciences where the experimental sessions took place. The invitations and promotional materials mentioned that participants would be taken images of their faces and their hands and that these images could not be linked to any personal information. No mention to the all-male nature of the experiment was made during the recruitment process or the sessions.</p>
<p>A total of 168 males participated in 10 sessions composed by 12&#x02013;24 subjects each. This sample size was meant to detect the associations between economic behavior and masculine physical traits identified in previous works<xref ref-type="fn" rid="fn0010"><sup>10</sup></xref>. All subjects except one identified themselves as Caucasian; we excluded that subject from our analysis as the fMM measure requires ethnic homogeneity. Another subject did not fill the belief elicitation question in one treatment. The sessions comprised two experiments run in a fixed order with a break in the middle to collect participant&#x00027;s morphometric data. After these measures were collected subjects were free to go if they preferred to not participate in that second component, whichwas unrelated to the one discussed here<xref ref-type="fn" rid="fn0011"><sup>11</sup></xref>. The duration of the experiment presented in this paper was 40&#x02013;60 min, including the collection of physiological measurements.</p>
<p>Subjects were called one by one to the lab and took sit at individual tables. Instructions were then read aloud (see the <xref ref-type="supplementary-material" rid="SM1">Supplementary Material</xref>). During this debriefing, participants were reminded that experimenters were to take photos of their faces and scans of their hands after the session and that these images would be anonymized. Participants were invited to leave the experiment at that point if they did not consent with these images being taken; they could keep the show-up fee if they left. They were also told they were free to leave the session at any later stage.</p>
<p>Subjects participated in two treatments administered in a fixed order. Subjects received no feedback between them. First, they participated in a <italic>control</italic> treatment, where they played the sender-receiver game described above. After that, they played a <italic>punishment</italic> treatment, a version of the Punishment Game in Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>). That game is identical to the one in the control treatment up to the point where the receiver takes his action. Before payoffs are realized, the receiver is informed about the payoff outcome and the table selected by nature and he is given the option to accept the resulting payoff distribution or to reduce his and the sender&#x00027;s payoff to zero. It is easy to see that the set of sequential equilibria of this game under standard preferences is identical to the one in the control treatment as no purely payoff-maximizing receiver would reduce his own payoff.</p>
<p>Participants made their choices in the two roles within each treatment. When choosing as receivers, subjects observed a message from the sender and chose their action. When choosing as senders, they where informed about the table selected by nature and decided which message to send to the receiver. We used a simplified version of the strategy method to elicit these decisions.<xref ref-type="fn" rid="fn0012"><sup>12</sup></xref> Rather than eliciting their choices for each table (for senders) and each message (for receivers), participants were just presented one instance and were told that experimenters would infer from their choice that their behavior would have been analogs in the other eventuality. That is, that we would interpret that senders who lied (were honest) when the table selected was A would have also lied (been honest) if the table selected had been B, and viceversa. Similarly, when playing as receivers, subjects were told we would interpret that if they followed (distrusted) a message saying that the table selected was A, they would have equally followed (distrusted) a message reporting that the table selected was B (and viceversa).</p>
<p>In the punishment treatment, receivers were presented four additional choices. They had to decide whether they would accept or reduce the payoffs to zero for each of the four possible histories of the game, i.e., {<italic>m</italic> &#x0003D; &#x003B8;, <italic>s</italic> &#x0003D; &#x003B8;}, {<italic>m</italic>&#x02260;&#x003B8;, <italic>s</italic> &#x0003D; &#x003B8;}, {<italic>m</italic> &#x0003D; &#x003B8;, <italic>s</italic>&#x02260;&#x003B8;} and {<italic>m</italic>&#x02260;&#x003B8;, <italic>s</italic>&#x02260;&#x003B8;}.</p>
<p>Participants recorded their choices in paper booklets, one booklet per treatment. Each page of the booklet presented a decision round. Subjects were not allowed to move to a new decision round until all participants had finished with that round. In each treatment, we elicited beliefs about the percentage of senders in the session who would send truthful messages and the percentage of receivers who would follow the sender&#x00027;s message: We paid 100 extra points to subjects whose guess was within a 5 percentage points band around the actual target percentage. In the punishment treatment, we also elicited beliefs about the percentage of receivers participants expected to reduce payoffs in each of the four possible histories. The order of decision rounds within each treatment was: (1) choice as receiver; (2) choice as sender; (3) elicitation of beliefs about expected truth and trust rates. In the punishment treatment there were two additional rounds: (4) punishment choices and (5) elicitation of beliefs about punishment rates.</p>
<p>At the end of each session, participants were called one by one to an adjacent room where morphometric measurements were taken in private by one experimenter and two research assistants. After this, one treatment was selected for payment. Roles were randomly assigned within each anonymously matched pair of participants and payoffs were determined according to their decisions. Subjects were paid their earnings in cash in addition to a 5&#x020AC; show-up fee for this experiment. The exchange rate between points in the experiment and money was 100 points=1&#x020AC;. Average earnings were 7.82&#x020AC;.</p></sec></sec>
<sec sec-type="results" id="s4">
<title>4. Results</title>
<sec>
<title>4.1. Descriptive Statistics</title>
<p><xref ref-type="table" rid="T3">Table 3</xref> contains descriptive statistics for the three masculine physical traits we consider. They correlate only slightly. The Spearman&#x00027;s correlation coefficient between fMM and fWHR is 0.126 (<italic>p</italic> &#x0003D; 0.099, <italic>n</italic> &#x0003D; 167) and between fMM and 2D:4D is -0.128 (<italic>p</italic> &#x0003D; 0.105, <italic>n</italic> &#x0003D; 167). No significant correlation exists between fWHR and 2D:4D. These weak correlations are in line with previous studies (Sanchez-Pages et al., <xref ref-type="bibr" rid="B75">2014</xref>), and were expected since masculinity is not a latent concept but a set of traits typical of males. fWHR is non-dimorphic so it was not expected to correlate with the other two traits, which are sexually dimorphic. 2D:4D is a measure of prenatal testosterone and fMM of adolescent testosterone. These two periods of exposure to sexual hormones independently influence adult behavior (Berenbaum and Beltz, <xref ref-type="bibr" rid="B4">2011</xref>)<xref ref-type="fn" rid="fn0013"><sup>13</sup></xref>.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Descriptive statistics.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>Std dev</bold></th>
<th valign="top" align="center"><bold>Min</bold></th>
<th valign="top" align="center"><bold>Max</bold></th>
<th valign="top" align="center"><bold>n</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1.2D:4D</td>
<td valign="top" align="center">0.961</td>
<td valign="top" align="center">0.027</td>
<td valign="top" align="center">0.887</td>
<td valign="top" align="center">1.059</td>
<td valign="top" align="center">168</td>
</tr>
<tr>
<td valign="top" align="left">2. fWHR</td>
<td valign="top" align="center">1.929</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">1.584</td>
<td valign="top" align="center">2.260</td>
<td valign="top" align="center">168</td>
</tr>
<tr>
<td valign="top" align="left">3. fMM</td>
<td valign="top" align="center">0.093</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.047</td>
<td valign="top" align="center">0.156</td>
<td valign="top" align="center">167</td>
</tr>
<tr>
<td valign="top" align="left">4. BMI</td>
<td valign="top" align="center">23.458</td>
<td valign="top" align="center">3.008</td>
<td valign="top" align="center">15.570</td>
<td valign="top" align="center">34.478</td>
<td valign="top" align="center">168</td>
</tr>
<tr>
<td valign="top" align="left">5. Age</td>
<td valign="top" align="center">21.940</td>
<td valign="top" align="center">2.299</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">168</td>
</tr>
</tbody>
</table>
</table-wrap></sec>
<sec>
<title>4.2. Aggregate Behavior</title>
<p>The percentages of untruthful messages in the control (37.5%) and punishment (25%) treatments were well below the theoretical prediction of 50% (Proportion test, <italic>p</italic> &#x0003D; 0.001 and <italic>p</italic> &#x0003C; 0.001, respectively, <italic>n</italic> &#x0003D; 168). They were also significantly different from each other (<italic>p</italic> &#x0003D; 0.013, <italic>n</italic> &#x0003D; 336). Trust rates were 63.1% in the control treatment and 58.9% in the punishment one. Both rates were significantly higher than 50% (<italic>p</italic> &#x0003C; 0.001 and <italic>p</italic> &#x0003D; 0.020, respectively, <italic>n</italic> &#x0003D; 168) and similar to those in Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>), but not different from each other. Beliefs about trust rates were very accurate, 61.4% and 58.1% in the control and punishment treatments, respectively. The distributions of beliefs were not different across treatments (Mann-Whitney, <italic>p</italic> &#x0003D; 0.245, <italic>n</italic> &#x0003D; 335).</p>
<p><xref ref-type="table" rid="T4">Table 4</xref> summarizes the proportion of subjects in each category of our behavioral taxonomy by treatment. Note that frequencies do not add up to 100% vertically because some behavioral classifications overlap. The first result stemming from this table is that deception is more common than lying. Altruistic lies are rare whereas deception by truth-telling is quite frequent and seems unaffected by the threat of punishment. The second result is that the possibility of punishment reduces the frequency of lies; as mentioned earlier, the difference in the percentage of untruthful messages between the two treatments is statistically significant. Selfish lying accounts for just over half of all instances of deception in the control treatment but only accounts for about a third in the punishment one. The third and last result is that a substantial proportion of subjects can be classified as strong truth-tellers. The frequency of this behavior differs across treatments (<italic>p</italic> &#x0003D; 0.033, <italic>n</italic> &#x0003D; 335), suggesting that the possibility of punishment induced senders to switch from selfish lying to costly truth-telling. The threat of punishment was indeed very real: The punishment rate after history {lie,trust} was substantial, 27.38%.<xref ref-type="fn" rid="fn0014"><sup>14</sup></xref></p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Frequency of behavioral types by treatment.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Behavior \ Treatment</bold></th>
<th valign="top" align="center"><bold>Control (%)</bold></th>
<th valign="top" align="center"><bold>Punishment(%)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lying</td>
<td valign="top" align="center">37.5</td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left">Deception</td>
<td valign="top" align="center">55.8</td>
<td valign="top" align="center">46.5</td>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;By lying</td>
<td valign="top" align="center">29.2</td>
<td valign="top" align="center">17.6</td>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;By truth-telling</td>
<td valign="top" align="center">26.6</td>
<td valign="top" align="center">28.9</td>
</tr>
<tr>
<td valign="top" align="left">Strong truth-telling</td>
<td valign="top" align="center">35.7</td>
<td valign="top" align="center">47.9</td>
</tr>
<tr>
<td valign="top" align="left">Altruistic lying</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">5.6</td>
</tr>
</tbody>
</table>
</table-wrap></sec>
<sec>
<title>4.3. (Dis)honesty</title>
<p>We next use regression analysis to study the association between lying and deception on the one hand and the three masculine physical traits we consider on the other. In <xref ref-type="table" rid="T5">Table 5</xref> below, we present the results of five random-effects regressions with robust standard errors clustered at the session level. These models pool the data from the two treatments and include a dummy variable for the punishment one. The three masculine traits and beliefs about the trust rate among receivers (when used as a control) are standardized. Coefficients should then be interpreted as the change in the outcome variable produced by a one standard deviation change in the corresponding independent variable.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Random-effects models.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center"><bold>Belief</bold></th>
<th valign="top" align="center"><bold>Lie</bold></th>
<th valign="top" align="center"><bold>Lie</bold></th>
<th valign="top" align="center"><bold>Lie</bold></th>
<th valign="top" align="center"><bold>Lie</bold></th>
</tr>
<tr>
<th/>
<th/>
<th/>
<th/>
<th valign="top" align="center"><bold>(Trust &#x0003C;50%)</bold></th>
<th valign="top" align="center"><bold>(Trust&#x0003E;50%)</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>(1)</bold></th>
<th valign="top" align="center"><bold>(2)</bold></th>
<th valign="top" align="center"><bold>(3)</bold></th>
<th valign="top" align="center"><bold>(4)</bold></th>
<th valign="top" align="center"><bold>(5)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">fWHR</td>
<td valign="top" align="center">2.276<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.058<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.066<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.091<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.044</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.100)</td>
<td valign="top" align="center">(0.083)</td>
<td valign="top" align="center">(0.051)</td>
<td valign="top" align="center">(0.031)</td>
<td valign="top" align="center">(0.206)</td>
</tr>
<tr>
<td valign="top" align="left">fMM</td>
<td valign="top" align="center">3.497<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.039<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.032</td>
<td valign="top" align="center">0.088</td>
<td valign="top" align="center">0.038</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.079)</td>
<td valign="top" align="center">(0.064)</td>
<td valign="top" align="center">(0.107)</td>
<td valign="top" align="center">(0.228)</td>
<td valign="top" align="center">(0.254)</td>
</tr>
<tr>
<td valign="top" align="left">2D:4D</td>
<td valign="top" align="center">&#x02013;3.169<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.061<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.054<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.023</td>
<td valign="top" align="center">0.095<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.027)</td>
<td valign="top" align="center">(0.023)</td>
<td valign="top" align="center">(0.051)</td>
<td valign="top" align="center">(0.296)</td>
<td valign="top" align="center">(0.049)</td>
</tr>
<tr>
<td valign="top" align="left">Punishment</td>
<td valign="top" align="center">&#x02013;3.193</td>
<td valign="top" align="center">&#x02013;0.125<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">-0.112<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">-0.068</td>
<td valign="top" align="center">-0.146<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;</sup></xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.395)</td>
<td valign="top" align="center">(0.008)</td>
<td valign="top" align="center">(0.017)</td>
<td valign="top" align="center">(0.223)</td>
<td valign="top" align="center">(0.062)</td>
</tr>
<tr>
<td valign="top" align="left">Belief</td>
<td/>
<td/>
<td valign="top" align="center">0.067<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02013;0.018</td>
<td valign="top" align="center">0.037</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.002)</td>
<td valign="top" align="center">(0.866)</td>
<td valign="top" align="center">(0.593)</td>
</tr>
<tr>
<td valign="top" align="left">Observations</td>
<td valign="top" align="center">333</td>
<td valign="top" align="center">334</td>
<td valign="top" align="center">333</td>
<td valign="top" align="center">103</td>
<td valign="top" align="center">191</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>All specifications control for the BMI and age of the subject. Robust standard errors</italic>.</p>
<p><italic>clustered at the session level. Variables are standardized. p-values in parentheses</italic>.</p>
<fn id="TN1">
<label>&#x0002A;&#x0002A;&#x0002A;</label>
<p><italic>denotes p &#x0003C;0.01,</italic></p></fn>
<fn id="TN2">
<label>&#x0002A;&#x0002A;</label>
<p><italic>p &#x0003C;0.05,</italic></p></fn>
<fn id="TN3">
<label>&#x0002A;</label>
<p><italic>p &#x0003C;0.1</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><bold>Beliefs</bold>. Column (1) studies the association between masculine physical traits and participants&#x00027; beliefs about trust rates in their session. All three markers display a significant coefficient, although in varying degrees of significance and directions. An increase in fMM (fWHR) by a standard deviation increases the expected trust rate by 3.5 (2.3) percentage points (pp). However, higher exposure to prenatal androgens as measured by 2D:4D, decreases the expected trust rate by 3.2 pp.</p>
<p><bold>Result 1:</bold> Higher levels of fMM are associated with senders expecting more receivers to follow their message. Higher exposure to prenatal testosterone and higher fWHR are associated with the opposite.</p>
<p>Note that the coefficients of interest in column (1) are relatively small and on those for fMM and fWHR are weakly significant. This already suggests that the association between beliefs and our masculine traits is not strong. We will come back to this issue below.</p>
<p><bold>Lying</bold>. In the rest of columns of <xref ref-type="table" rid="T5">Table 5</xref>, the dependent variable is a dummy with value one if the subject lied. We chose a linear probability model (LPM) for these regressions because we are interested in the marginal effects of the masculine traits. These marginal effects are intuitively measured by the coefficients of a LPM: changes in a variable corresponds to a percentage points (pp) change in the probability of lying. LPMs, however, present two problems: heteroskedasticity in errors (by construction), and estimation bias, which has been shown to increase with the proportion of predicted probabilities outside the [0, 1] interval (Horrace and Oaxaca, <xref ref-type="bibr" rid="B38">2006</xref>). We use clustered robust standard errors to avoid the first issue. On the other hand, only 0.5% of our predicted probabilities is negative and none is above one, suggesting that our LPM estimates are fairly unbiased as well. Nonetheless, we also ran random-effects probit models (see <xref ref-type="supplementary-material" rid="SM2">Table A1</xref> in the Appendix), which yielded similar results.</p>
<p>The specification in column (2) estimates the total effect of the three masculinity markers we study on lying. Again, the traits display sizeable effects at different degrees of significance. 2D:4D is associated to a decrease in the probability of lying by 6.1 pp. This regression thus suggests that individuals exposed to more testosterone <italic>in utero</italic> engaged less in lying. The estimates for the other traits are non-negligible but less significant.</p>
<p>Column (3) includes subjects&#x00027; expected trust rates as a control. The coefficient for fWHR increases in significance and absolute value whereas the one for 2D:4D decreases. An increase of one standard deviation in fWHR now leads to a reduction in lying by 6.6 pp, and an increase in the latter to a decrease by 5.4 pp.</p>
<p><bold>Result 2</bold>. Higher fWHR and higher exposure to prenatal testosterone are associated to less lying.</p>
<p>The positive coefficient for beliefs implies that participants who believed that a higher fraction of receivers would trust messages were more likely to lie.<xref ref-type="fn" rid="fn0015"><sup>15</sup></xref> The coefficient is highly significant and its size is substantial: a standard deviation increase in the expected trust rate translates into a 6.7 pp increase in the probability of lying.</p>
<p><bold>Preferences vs. beliefs</bold>. The regression in column (3) is also important because it allows us to explore the extent to which the association between our masculine traits and lying behavior operates through beliefs about the behavior of others, through preferences, or both (Eisenegger et al., <xref ref-type="bibr" rid="B19">2012</xref>). Assuming that sender&#x00027;s behavior depends on preferences, i.e., lying aversion, and beliefs about receivers&#x00027; behavior and that, in turn, both preferences and beliefs vary with masculine traits implies that column (2) estimate the total association of our biomarkers with dishonesty. When in column (3) we control for participants&#x00027; beliefs about trust rates we would be estimating the indirect association of the trait via preferences as we would be switching off the beliefs channel. This implies that the differences in estimates between those in columns (2) and (3) allows us to measure the size of the effect of our masculine traits on lying operating through beliefs. The sizes of these effects are all very small, approximately 0.08 pp for a one standard deviation increase in fWHR and &#x02013;0.07pp for a one standard deviation increase in fMM and 2D:4D. This would corroborate the following result:</p>
<p><bold>Result 3:</bold> Masculine markers have a statistically significant but weak association with lying via beliefs about the behavior of receivers.</p>
<p>Let us mention that this identification strategy rests on two assumptions. The first one is that beliefs are measured without error. This is important because, as Gillen et al. (<xref ref-type="bibr" rid="B27">2019</xref>) have shown, measurement error in a control variable (beliefs in this case) that correlates both with the dependent variable (lying) and other controls (masculine traits) alters estimates. The presence of a substantial measurement error in elicited beliefs would distort the estimates in column (3) and affect our inference of effect sizes. Secondly, we are assuming that the beliefs about trusting rates that individuals report do not depend on their decision as senders. However, it might be the case that the action participants take as senders influence the beliefs they report.</p>
<p>To partially ameliorate these concerns, we report in the Appendix the results of an instrumental variable approach where we substitute elicited beliefs by the residuals from the estimation in column (1) (see <xref ref-type="supplementary-material" rid="SM2">Table A2</xref>). These residuals are thus the expected trust rates left unexplained by the masculine physical traits we study. The estimates resulting from this exercise are analogs to those in column (3) and can thus be interpreted as the association between the masculine traits and lying via preferences. The coefficients for fMM and 2D:4D become more significant, reinforcing the idea the effect of these traits operate mostly through lying aversion. That said, this IV approach is not a panacea and this result should be taken as suggestive.</p>
<p><bold>Deception</bold>. At this point, the distinction between lying and deception becomes important. A higher likelihood of sending a truthful message does not necessarily indicates stronger prosociality. If the receiver is expected to distrust the sender, telling the truth becomes a form of sophisticated deception (Sutter, <xref ref-type="bibr" rid="B86">2009</xref>). Columns (4) and (5) account for the different ethical and monetary implications of lying depending on receivers&#x00027; expected trust rates. These models restrict the analysis to subjects who believed that less (more, respectively) than 50% of receivers would trust their message. We leave out senders who believed that exactly 50% of receivers would follow messages as these senders would be indifferent between lying or not. Due to the reduction in observations, we lose some precision. Still, estimates show that the association between fWHR and lying observed in column (3) is only significant for senders who expected receivers to distrust messages, although coefficients in columns (4) and (5) are not significantly different from each other.<xref ref-type="fn" rid="fn0016"><sup>16</sup></xref> In addition, the coefficient for 2D:4D is only significant for senders whose expected trust rates were above 50%. In addition, it is statistically different from the coefficient in column (4); a <italic>t</italic>-test of the equality of the coefficients returns a <italic>p</italic>-value of 0.008.<xref ref-type="fn" rid="fn0017"><sup>17</sup></xref></p>
<p><bold>Result 4:</bold> Higher fWHR is associated with more deception by telling the truth, whereas higher exposure to prenatal testosterone is positively associated with strong truth-telling.</p>
<p>To address the possibility of false positives, we also run a series if bivariate regressions where each of the three masculine traits is regressed on the dependent variables. <xref ref-type="supplementary-material" rid="SM2">Table A3</xref> in the Appendix shows that almost all coefficients are of the same magnitude and significance as those in Table 5. The only difference is that the association between 2D:4D and beliefs is no longer significant in the corresponding bivariate regression. For the sake of transparency, we also include in the Appendix the analysis of receivers&#x00027; beliefs, trusting decisions and punishment after history {lie, trust} (<xref ref-type="supplementary-material" rid="SM2">Table A4</xref> and <xref ref-type="supplementary-material" rid="SM2">A5</xref>). There, a significant positive association emerges between fWHR and trusting by receivers, especially when senders were expected to have lied in more than 50% of occasions.</p></sec></sec>
<sec sec-type="discussion" id="s5">
<title>5. Discussion</title>
<p>Our results suggest that biology, and masculine physical traits in particular, can help explain the observed individual heterogeneity in honesty in strategic communication. This association seems to operate more strongly through preferences than through beliefs about the behavior of others. Two of the masculine traits markers we study (2D:4D and fWHR) are negatively correlated with lying, but the picture changes when we bring into consideration the expected consequences of messages. This is consistent with recent research on the role of testosterone in social interactions. This hormone makes the seek of social status and dominance a salient motivation, but this goal translates into aggression and competitiveness in some contexts and into prosocial behavior in others (Eisenegger et al., <xref ref-type="bibr" rid="B18">2011</xref>, <xref ref-type="bibr" rid="B19">2012</xref>; Millet, <xref ref-type="bibr" rid="B57">2011</xref>; van Honk et al., <xref ref-type="bibr" rid="B94">2011b</xref>). In our experiment, senders could obtain higher status either by outsmarting the receiver or by following the moral imperative of truth-telling, especially when that was costly.</p>
<p>We next elaborate on how our results relate with other results previously observed in the literature.</p>
<sec>
<title>5.1. The Reduced Empathy Hypothesis</title>
<p>According to the dual-process theory, moral decisions trigger immediate emotional responses such as harm aversion and empathy (see Montoya et al., <xref ref-type="bibr" rid="B63">2013</xref>, and references therein). When striving for status, an awareness of the emotions of others might be detrimental to oneself. In that case, instrumental considerations must override emotional responses in order to clear the path for payoff maximization. Research on behavioral endocrinology suggests that prenatal testosterone exposure is indeed positively associated with decreased empathy, even from a very early age (e.g., Knickmeyer et al., <xref ref-type="bibr" rid="B42">2005</xref>), thus facilitating narrow utility maximization over emotional decision making. Recent evidence also shows that testosterone suppresses the activity of the ventromedial prefrontal cortex (vmPFC), a brain region implicated in moral decision making; it is known that individuals with vmPFC lesions are significantly less likely to experience regret, guilt or embarrassment after violating social norms (Carney and Mason, <xref ref-type="bibr" rid="B11">2010</xref>).</p>
<p>Previous research on the association between masculine facial features and economic behavior is also consistent with this <italic>reduced empathy hypothesis</italic>. Stirrat and Perrett (<xref ref-type="bibr" rid="B84">2010</xref>) found that subjects with higher fWHR are more likely to exploit the trust of others in the trust game. Haselhuhn and Wong (<xref ref-type="bibr" rid="B32">2012</xref>) and Geniole et al. (<xref ref-type="bibr" rid="B26">2014</xref>) found that fWHR is positively related to cheating in non-strategic settings. And Jia et al. (<xref ref-type="bibr" rid="B40">2014</xref>) observed a positive relationship between the fWHR of CEOs and their probability of engaging in fraudulent accounting practices.</p>
<p>Our results related to masculine facial features as measured by fWHR are consistent with the reduced empathy hypothesis. Subjects with higher fWHR were more likely to engage in deception by telling the truth (Sutter, <xref ref-type="bibr" rid="B86">2009</xref>), which entails hurting the receiver for profit.</p></sec>
<sec>
<title>5.2. The Status Signaling Hypothesis</title>
<p>Social status is likely to be associated with prosocial behavior when prosociality can signal dominance or higher standing (Eisenegger et al., <xref ref-type="bibr" rid="B19">2012</xref>). For instance, Millet and Dewitte (<xref ref-type="bibr" rid="B60">2009</xref>) found that individuals exposed to higher amniotic testosterone concentrations are indeed more generous in the dictator game. Two mechanisms might drive this association. First, it seems that testosterone enhances self-image concerns, leading individuals to make choices which make them feel proud and to avoid those considered dishonorable (Wibral et al., <xref ref-type="bibr" rid="B101">2012</xref>). Second, higher androgens levels suppress the immune system and are feasible only for healthy individuals. In that case, traits and behaviors associated with higher testosterone exposure become signals of superior health and genetic fitness (Puts et al., <xref ref-type="bibr" rid="B68">2012</xref>).</p>
<p>Our results related to prenatal testosterone levels are consistent with this form of status signaling. We find a strong association between 2D:4D and truth-telling. This suggests that androgens exposure during foetal development is related to a pure preference for truth-telling, or alternatively, to a stronger lying aversion (Kartik, <xref ref-type="bibr" rid="B41">2009</xref>; Millet, <xref ref-type="bibr" rid="B57">2011</xref>).</p>
<p>In addition, we find a positive association between prenatal testosterone exposure and costly truth-telling, which is consistent with the idea that honesty in communication under divergent preferences can be seen as a signal of status. Sending a truthful message when most receivers are expected to believe it has a monetary cost compared to lying. Such behavior can in turn be rationalized as a costly signal of higher moral or resource standing (Gintis et al., <xref ref-type="bibr" rid="B28">2001</xref>). This interpretation is also consistent with Weston et al. (<xref ref-type="bibr" rid="B100">2007</xref>) and van Honk et al. (<xref ref-type="bibr" rid="B95">2015</xref>), who find that testosterone administration reduces selfish misreporting and bluffing, and with the literature suggesting that amniotic testosterone concentrations are positively related with prosociality and altruism (e.g., van den Bergh and Dewitte, <xref ref-type="bibr" rid="B90">2006</xref>; Millet and Dewitte, <xref ref-type="bibr" rid="B60">2009</xref>).</p></sec>
<sec>
<title>5.3. The Dual Role of fWHR</title>
<p>The literature on the fWHR suggests that this trait is linked to antisocial behaviors such as untrustworthiness and cheating. But it remains unclear the extent to which this association is due to individuals adopting these behaviors because of their physical appearance. Wang et al. (<xref ref-type="bibr" rid="B98">2019</xref>) suggest that fWHR might have been associated with antisocial behaviors in ancestral environments. The more imposing appearance of men with wider faces may lead them to be less concerned with retaliations to their aggressions (Geniole et al., <xref ref-type="bibr" rid="B25">2015</xref>). That might explain the more aggressive financial policies of CEOs with higher fWHR (Mills and Hogan, <xref ref-type="bibr" rid="B61">2020</xref>). In our experiment, males with wider faces may have felt that their deception was less likely to meet a punishment, as it was the case in their daily life, leading them to engage more in deception.</p>
<p>A body of studies offer a more nuanced view on fWHR. Wong et al. (<xref ref-type="bibr" rid="B102">2011</xref>) show that firms in the Fortune 500 whose male CEOs have higher fWHR enjoy higher returns-to-assets ratios. This might be due to these individuals being more exploitative, but also to them being more cooperative. In fact, Stirrat and Perrett (<xref ref-type="bibr" rid="B85">2012</xref>) show that men with wider faces contribute more to public goods under inter-group competition. In addition, Lewis et al. (<xref ref-type="bibr" rid="B46">2012</xref>) find that US presidents with higher fWHR had a higher drive for achievement but were not more aggressive in their policies. This suggests that the link between fWHR and economic behavior might be contingent on the context: Aggression or cheating might be a bad strategy for presidents but it is perhaps useful and/or socially forgiven in business and finance. Alternatively, it might be that fWHR is associated with prosociality when the own group (e.g., a country, a firm) is competing against another. Inter-group competition was absent in our design; that might have shut down any possible association between this trait and honesty.</p></sec></sec>
<sec sec-type="conclusions" id="s6">
<title>6. Conclusion</title>
<p>In this article, we have offered an exploratory study of the biological roots of lying and deception in strategic communication. Our results suggest that individual differences in honesty in sender-receiver games can be partially explained by physiological factors. We have also explored whether these association operate more strongly through preferences or through beliefs about the behavior of receivers. Exposure to sexual hormones during foetal development increases truth-telling whereas fWHR, which is related to aggression and dominance in a variety of contexts, predicts more lying and more sophisticated deception. We observed these associations in an environment where the preferences of senders and receivers were completely opposed. Future research should explore whether masculine physical traits or other biological markers may a have different relationship with honesty under other preference configurations and contexts.</p>
<p>In addition, further studies on the relationship between biomarkers and dishonesty should include female participants. A next step could be to explore whether hormone levels may relate differently with lying and deception among females. It would also be relevant to study whether the associations between dishonesty and physiology-related traits are mediated by the gender identity of the sender or the receiver once disclosed to the other party.</p>
<p>Finally, it is important to note that our study cannot tease out the direct biological effect of visible masculine traits from their effect on how individuals are perceived and treated by their peers. Any trait an individual displays mixes biological influences (i.e., genes, which respond to the environment through endocrine and nervous system signalling, whose organization also depends on genes and the environment) and the events the individual experiences (including abiotic factors and their interaction with other living beings). From that point of view, the conjecture that prenatal hormone levels may influence human behavior is especially interesting (Beltz et al., <xref ref-type="bibr" rid="B2">2011</xref>; Berenbaum, <xref ref-type="bibr" rid="B3">2018</xref>). There exist some differences in preferential activities associated with differences in prenatal hormone levels, such as the interest in hitting rather than swinging objects or differences in the attention devoted to objects and people. These differences interact with the social environment to produce behavioral differences in adulthood. In other words, biological and social processes interact with each other and jointly affect development. On the other hand, hormone levels in adolescence influence facial features which in turn may influence how people are perceived and treated, leading to further differences in behavior. In sum, it is extremely difficult to disentangle the direct biological effect of masculine physical traits unless individuals are continuously monitored. This is another open avenue for future research.</p></sec>
<sec sec-type="data-availability-statement" id="s7">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p></sec>
<sec id="s8">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by Autonomous University of Madrid Research Ethics Committee (reference CEI 62-1086). Written informed consent for participation was not required for this study in accordance with the national legislation and the institutional requirements. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.</p></sec>
<sec id="s9">
<title>Author Contributions</title>
<p>All authors listed have made a substantial, direct and intellectual contribution to the work, and approved it for publication.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x00027;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec> 
</body>
<back>
<ack><p>We are grateful to the editor AK and two referees for their comments; to Raul Lopez-Perez and the Madrid Laboratory for Experimental Economics (MADLEE) for their help in the organization of the experiment; and to Marta Iglesias-Julios and Jose Antonio Mu&#x000F1;oz-Reyes for their excellent research assistance.</p>
</ack><sec sec-type="supplementary-material" id="s11">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpsyg.2021.684226/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpsyg.2021.684226/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_2.pdf" id="SM2" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Abeler</surname> <given-names>J</given-names></name> <name><surname>Nosenzo</surname> <given-names>D.</given-names></name> <name><surname>Raymond</surname> <given-names>C.</given-names></name></person-group> (<year>2019</year>). <article-title>Preferences for truth-telling</article-title>. <source>Econometrica</source> <volume>87</volume>, <fpage>1115</fpage>&#x02013;<lpage>1153</lpage>. <pub-id pub-id-type="doi">10.3982/ECTA14673</pub-id></citation></ref>
<ref id="B2">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Beltz</surname> <given-names>A. M.</given-names></name> <name><surname>Swanson</surname> <given-names>J. L.</given-names></name> <name><surname>Berenbaum</surname> <given-names>S. A.</given-names></name></person-group> (<year>2011</year>). <article-title>Gendered occupational interests: Prenatal androgen effects on psychological orientation to things versus people</article-title>. <source>Hormones Behav</source>. <volume>60</volume>, <fpage>313</fpage>&#x02013;<lpage>317</lpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2011.06.002</pub-id><pub-id pub-id-type="pmid">21689657</pub-id></citation></ref>
<ref id="B3">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Berenbaum</surname> <given-names>S. A.</given-names></name></person-group> (<year>2018</year>). <article-title>Beyond pink and blue: the complexity of early androgen effects on gender development</article-title>. <source>Child Dev. Perspect</source>. <volume>12</volume>, <fpage>58</fpage>&#x02013;<lpage>64</lpage>. <pub-id pub-id-type="doi">10.1111/cdep.12261</pub-id><pub-id pub-id-type="pmid">29736184</pub-id></citation></ref>
<ref id="B4">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Berenbaum</surname> <given-names>S. A.</given-names></name> <name><surname>Beltz</surname> <given-names>A. M.</given-names></name></person-group> (<year>2011</year>). <article-title>Sexual differentiation of human behavior: effects of prenatal and pubertal organizational hormones</article-title>. <source>Front. Neuroendocrinol</source>. <volume>32</volume>, <fpage>183</fpage>&#x02013;<lpage>200</lpage>. <pub-id pub-id-type="doi">10.1016/j.yfrne.2011.03.001</pub-id><pub-id pub-id-type="pmid">21397624</pub-id></citation></ref>
<ref id="B5">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buser</surname> <given-names>T.</given-names></name></person-group> (<year>2012a</year>). <article-title>The impact of the menstrual cycle and hormonal contraceptives on competitiveness</article-title>. <source>J. Econ. Behav. Organ</source>. <volume>83</volume>, <fpage>1</fpage>&#x02013;<lpage>10</lpage>. <pub-id pub-id-type="doi">10.1016/j.jebo.2011.06.006</pub-id></citation></ref>
<ref id="B6">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buser</surname> <given-names>T.</given-names></name></person-group> (<year>2012b</year>). <article-title>Digit ratios, the menstrual cycle and social preferences</article-title>. <source>Games Econ. Behav</source>. <volume>76</volume>, <fpage>457</fpage>&#x02013;<lpage>470</lpage>. <pub-id pub-id-type="doi">10.1016/j.geb.2012.07.006</pub-id></citation></ref>
<ref id="B7">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buskens</surname> <given-names>V.</given-names></name> <name><surname>Raub</surname> <given-names>W.</given-names></name> <name><surname>Van Miltenburg</surname> <given-names>N.</given-names></name> <name><surname>Montoya</surname> <given-names>E. R.</given-names></name> <name><surname>Van Honk</surname> <given-names>J.</given-names></name></person-group> (<year>2016</year>). <article-title>Testosterone administration moderates effect of social environment on trust in women depending on second-to-fourth digit ratio</article-title>. <source>Sci. Rep</source>. <volume>6</volume> <fpage>27655</fpage>. <pub-id pub-id-type="doi">10.1038/srep27655</pub-id><pub-id pub-id-type="pmid">27282952</pub-id></citation></ref>
<ref id="B8">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Butovskaya</surname> <given-names>M.</given-names></name> <name><surname>Burkova</surname> <given-names>V.</given-names></name> <name><surname>Apalkova</surname> <given-names>Y.</given-names></name> <name><surname>Dronova</surname> <given-names>D.</given-names></name> <name><surname>Rostovtseva</surname> <given-names>V.</given-names></name> <name><surname>Karelin</surname> <given-names>D.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Sex, population origin, age and average digit length as predictors of digit ratio in three large world populations</article-title>. <source>Sci. Rep</source>. <volume>11</volume>, <fpage>1</fpage>&#x02013;<lpage>17</lpage>. <pub-id pub-id-type="doi">10.1038/s41598-021-87394-6</pub-id><pub-id pub-id-type="pmid">33854119</pub-id></citation></ref>
<ref id="B9">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cai</surname> <given-names>H.</given-names></name> <name><surname>Wang</surname> <given-names>J.</given-names></name></person-group> (<year>2006</year>). <article-title>Overcommunication in strategic information transmission games</article-title>. <source>Games Econ. Behav</source>. <volume>95</volume>, <fpage>384</fpage>&#x02013;<lpage>394</lpage>. <pub-id pub-id-type="doi">10.1016/j.geb.2005.04.001</pub-id></citation></ref>
<ref id="B10">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Capraro</surname> <given-names>V.</given-names></name></person-group> (<year>2018</year>). <article-title>Gender differences in lying in sender-receiver games: a meta-analysis</article-title>. <source>Judg. Decis. Making</source> <volume>13</volume>, <fpage>345</fpage>&#x02013;<lpage>355</lpage>. <pub-id pub-id-type="doi">10.31234/osf.io/jaewt</pub-id></citation></ref>
<ref id="B11">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Carney</surname> <given-names>D. R.</given-names></name> <name><surname>Mason</surname> <given-names>M. F.</given-names></name></person-group> (<year>2010</year>). <article-title>Decision making and testosterone: when the ends justify the means</article-title>. <source>J. Exper. Soc. Psychol</source>. <volume>46</volume>, <fpage>668</fpage>&#x02013;<lpage>671</lpage>. <pub-id pub-id-type="doi">10.1016/j.jesp.2010.02.003</pub-id></citation></ref>
<ref id="B12">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Carr&#x000E9;</surname> <given-names>J. M.</given-names></name> <name><surname>McCormick</surname> <given-names>C. M.</given-names></name></person-group> (<year>2008</year>). <article-title>In your face: facial metrics predict aggressive behaviour in the laboratory and in varsity and professional hockey players</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>275</volume>, <fpage>2651</fpage>&#x02013;<lpage>2656</lpage>. <pub-id pub-id-type="doi">10.1098/rspb.2008.0873</pub-id><pub-id pub-id-type="pmid">18713717</pub-id></citation></ref>
<ref id="B13">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cecchi</surname> <given-names>F.</given-names></name> <name><surname>Duchoslav</surname> <given-names>J.</given-names></name></person-group> (<year>2018</year>). <article-title>The effect of prenatal stress on cooperation: evidence from violent conflict in Uganda</article-title>. <source>Eur. Econ. Rev</source>. <volume>101</volume>, <fpage>35</fpage>&#x02013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1016/j.euroecorev.2017.09.015</pub-id></citation></ref>
<ref id="B14">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>C.</given-names></name> <name><surname>Decety</surname> <given-names>J.</given-names></name> <name><surname>Huang</surname> <given-names>P. C.</given-names></name> <name><surname>Chen</surname> <given-names>C. Y.</given-names></name> <name><surname>Cheng</surname> <given-names>Y.</given-names></name></person-group> (<year>2016</year>). <article-title>Testosterone administration in females modulates moral judgment and patterns of brain activation and functional connectivity</article-title>. <source>Hum. Brain Mapp</source>. <volume>37</volume>, <fpage>3417</fpage>&#x02013;<lpage>3430</lpage>. <pub-id pub-id-type="doi">10.1002/hbm.23249</pub-id><pub-id pub-id-type="pmid">27145084</pub-id></citation></ref>
<ref id="B15">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Y.</given-names></name> <name><surname>Katu&#x00161;c&#x000E1;k</surname> <given-names>P.</given-names></name> <name><surname>Ozdenoren</surname> <given-names>E.</given-names></name></person-group> (<year>2013</year>). <article-title>Why can&#x00027;t a woman bid more like a man?</article-title> <source>Games Econ. Behav</source>. <volume>77</volume>, <fpage>181</fpage>&#x02013;<lpage>213</lpage>. <pub-id pub-id-type="doi">10.1016/j.geb.2012.10.002</pub-id></citation></ref>
<ref id="B16">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Crawford</surname> <given-names>V.</given-names></name> <name><surname>Sobel</surname> <given-names>J.</given-names></name></person-group> (<year>1982</year>). <article-title>Strategic information transmission</article-title>. <source>Econometrica</source> <volume>50</volume>, <fpage>1431</fpage>&#x02013;<lpage>1451</lpage>. <pub-id pub-id-type="doi">10.2307/1913390</pub-id></citation></ref>
<ref id="B17">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dessein</surname> <given-names>W.</given-names></name></person-group> (<year>2002</year>). <article-title>Authority and communication in organizations</article-title>. <source>Rev. Econ. Stud</source>. <volume>69</volume>, <fpage>811</fpage>&#x02013;<lpage>838</lpage>. <pub-id pub-id-type="doi">10.1111/1467-937X.00227</pub-id></citation></ref>
<ref id="B18">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Eisenegger</surname> <given-names>C.</given-names></name> <name><surname>Haushofer</surname> <given-names>J.</given-names></name> <name><surname>Fehr</surname> <given-names>E.</given-names></name></person-group> (<year>2011</year>). <article-title>The role of testosterone in social interactions</article-title>. <source>Trends Cogn. Sci</source>. <volume>15</volume>, <fpage>263</fpage>&#x02013;<lpage>271</lpage>. <pub-id pub-id-type="doi">10.1016/j.tics.2011.04.008</pub-id></citation></ref>
<ref id="B19">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Eisenegger</surname> <given-names>C.</given-names></name> <name><surname>Naef</surname> <given-names>M.</given-names></name> <name><surname>Snozzi</surname> <given-names>R.</given-names></name> <name><surname>Heinrichs</surname> <given-names>M.</given-names></name> <name><surname>Fehr</surname> <given-names>E.</given-names></name></person-group> (<year>2012</year>). <article-title>New evidence on testosterone and cooperation. A reply</article-title>. <source>Nature</source> <volume>485</volume>:<fpage>E5</fpage>&#x02013;<lpage>E6</lpage>. <pub-id pub-id-type="doi">10.1038/nature11137</pub-id></citation></ref>
<ref id="B20">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ekrami</surname> <given-names>O.</given-names></name> <name><surname>Claes</surname> <given-names>P.</given-names></name> <name><surname>Van Assche</surname> <given-names>E.</given-names></name> <name><surname>Shriver</surname> <given-names>M. D.</given-names></name> <name><surname>Weinberg</surname> <given-names>S. M.</given-names></name> <name><surname>Marazita</surname> <given-names>M. L.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Fluctuating asymmetry and sexual dimorphism in human facial morphology: a multi-variate study</article-title>. <source>Symmetry</source> <volume>13</volume>, <fpage>304</fpage>. <pub-id pub-id-type="doi">10.3390/sym13020304</pub-id><pub-id pub-id-type="pmid">33664983</pub-id></citation></ref>
<ref id="B21">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Erat</surname> <given-names>S.</given-names></name> <name><surname>Gneezy</surname> <given-names>U.</given-names></name></person-group> (<year>2012</year>). <article-title>White lies</article-title>. <source>Manag. Sci</source>. <volume>58</volume>, <fpage>723</fpage>&#x02013;<lpage>733</lpage>. <pub-id pub-id-type="doi">10.1287/mnsc.1110.1449</pub-id></citation></ref>
<ref id="B22">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Galis</surname> <given-names>F.</given-names></name> <name><surname>Ten Broek</surname> <given-names>C. M.</given-names></name> <name><surname>Van Dongen</surname> <given-names>S.</given-names></name> <name><surname>Wijnaendts</surname> <given-names>L. C.</given-names></name></person-group> (<year>2009</year>). <article-title>Sexual dimorphism in the prenatal digit ratio (2D:4D)</article-title>. <source>Arch. Sex. Behav</source>. <volume>39</volume>, <fpage>57</fpage>&#x02013;<lpage>62</lpage>. <pub-id pub-id-type="doi">10.1007/s10508-009-9485-7</pub-id><pub-id pub-id-type="pmid">19301112</pub-id></citation></ref>
<ref id="B23">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Garbarino</surname> <given-names>E.</given-names></name> <name><surname>Slonim</surname> <given-names>R.</given-names></name> <name><surname>Sydnor</surname> <given-names>J.</given-names></name></person-group> (<year>2011</year>). <article-title>Digit ratios (2d:4d) as predictors of risky decision making for both sexes</article-title>. <source>J. Risk Uncertain</source>. <volume>42</volume>, <fpage>1</fpage>&#x02013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1007/s11166-010-9109-6</pub-id></citation></ref>
<ref id="B24">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gawn</surname> <given-names>G.</given-names></name> <name><surname>Innes</surname> <given-names>R.</given-names></name></person-group> (<year>2018</year>). <article-title>Do lies erode trust?</article-title> <source>Int. Econ. Rev</source>. <volume>59</volume>, <fpage>137</fpage>&#x02013;<lpage>161</lpage>. <pub-id pub-id-type="doi">10.1111/iere.12265</pub-id></citation></ref>
<ref id="B25">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Geniole</surname> <given-names>S. N.</given-names></name> <name><surname>Denson</surname> <given-names>T. F.</given-names></name> <name><surname>Dixson</surname> <given-names>B. J.</given-names></name> <name><surname>Carr&#x000E9;</surname> <given-names>J. M.</given-names></name> <name><surname>McCormick</surname> <given-names>C. M.</given-names></name></person-group> (<year>2015</year>). <article-title>Evidence from meta-analyses of the facial width-to-height ratio as an evolved cue of threat</article-title>. <source>PLoS ONE</source> <volume>10</volume>:<fpage>e0132726</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0132726</pub-id><pub-id pub-id-type="pmid">26181579</pub-id></citation></ref>
<ref id="B26">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Geniole</surname> <given-names>S. N.</given-names></name> <name><surname>Keyes</surname> <given-names>A. E.</given-names></name> <name><surname>Carr&#x000E9;</surname> <given-names>J. M.</given-names></name> <name><surname>McCormick</surname> <given-names>C. M.</given-names></name></person-group> (<year>2014</year>). <article-title>Fearless dominance mediates the relationship between the facial width-to-height ratio and willingness to cheat</article-title>. <source>Pers. Individ. Dif</source>. <volume>57</volume>, <fpage>59</fpage>&#x02013;<lpage>64</lpage> <pub-id pub-id-type="doi">10.1016/j.paid.2013.09.023</pub-id></citation></ref>
<ref id="B27">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gillen</surname> <given-names>B.</given-names></name> <name><surname>Snowberg</surname> <given-names>E.</given-names></name> <name><surname>Yariv</surname> <given-names>L.</given-names></name></person-group> (<year>2019</year>). <article-title>Experimenting with measurement error: Techniques with applications to the Caltech cohort study</article-title>. <source>J. Polit. Econ</source>. <volume>127</volume>, <fpage>1826</fpage>&#x02013;<lpage>1863</lpage>. <pub-id pub-id-type="doi">10.1086/701681</pub-id></citation></ref>
<ref id="B28">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gintis</surname> <given-names>H.</given-names></name> <name><surname>Smith</surname> <given-names>E. A.</given-names></name> <name><surname>Bowles</surname> <given-names>S.</given-names></name></person-group> (<year>2001</year>). <article-title>Costly signaling and cooperation</article-title>. <source>J. Theor. Biol</source>. <volume>213</volume>, <fpage>103</fpage>&#x02013;<lpage>119</lpage>. <pub-id pub-id-type="doi">10.1006/jtbi.2001.2406</pub-id></citation></ref>
<ref id="B29">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gneezy</surname> <given-names>U.</given-names></name></person-group> (<year>2005</year>). <article-title>Deception: the role of consequences</article-title>. <source>Am. Econ. Rev</source>. <volume>95</volume>, <fpage>384</fpage>&#x02013;<lpage>394</lpage>. <pub-id pub-id-type="doi">10.1257/0002828053828662</pub-id></citation></ref>
<ref id="B30">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Grimbos</surname> <given-names>T.</given-names></name> <name><surname>Dawood</surname> <given-names>K.</given-names></name> <name><surname>Burriss</surname> <given-names>R. P.</given-names></name> <name><surname>Zucker</surname> <given-names>K. J.</given-names></name> <name><surname>Puts</surname> <given-names>D. A.</given-names></name></person-group> (<year>2010</year>). <article-title>Sexual orientation and the second to fourth finger length ratio: a meta-analysis in men and women</article-title>. <source>Behav. Neurosci</source>. <volume>124</volume>, <fpage>278</fpage>&#x02013;<lpage>287</lpage>. <pub-id pub-id-type="doi">10.1037/a0018764</pub-id><pub-id pub-id-type="pmid">20364887</pub-id></citation></ref>
<ref id="B31">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Haselhuhn</surname> <given-names>M. P.</given-names></name> <name><surname>Ormiston</surname> <given-names>M. E.</given-names></name> <name><surname>Wong</surname> <given-names>E. M.</given-names></name></person-group> (<year>2015</year>). <article-title>Men&#x00027;s facial width-to-height ratio predicts aggression: a meta-analysis</article-title>. <source>PLoS ONE</source> <volume>10</volume>:<fpage>e0122637</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0122637</pub-id><pub-id pub-id-type="pmid">25849992</pub-id></citation></ref>
<ref id="B32">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Haselhuhn</surname> <given-names>M. P.</given-names></name> <name><surname>Wong</surname> <given-names>E. M.</given-names></name></person-group> (<year>2012</year>). <article-title>Bad to the bone: facial structure predicts unethical behaviour</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>279</volume>, <fpage>571</fpage>&#x02013;<lpage>576</lpage>. <pub-id pub-id-type="doi">10.1098/rspb.2011.1193</pub-id><pub-id pub-id-type="pmid">21733897</pub-id></citation></ref>
<ref id="B33">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Haselhuhn</surname> <given-names>M. P.</given-names></name> <name><surname>Wong</surname> <given-names>E. M.</given-names></name> <name><surname>Ormiston</surname> <given-names>M. E.</given-names></name> <name><surname>Inesi</surname> <given-names>M. E.</given-names></name> <name><surname>Galinsky</surname> <given-names>A. D.</given-names></name></person-group> (<year>2014</year>). <article-title>Negotiating face-to-face: Men&#x00027;s facial structure predicts negotiation performance</article-title>. <source>Leader. Q</source>. <volume>25</volume>, <fpage>835</fpage>&#x02013;<lpage>845</lpage>. <pub-id pub-id-type="doi">10.1016/j.leaqua.2013.12.003</pub-id></citation></ref>
<ref id="B34">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hickey</surname> <given-names>M.</given-names></name> <name><surname>Doherty</surname> <given-names>D. A.</given-names></name> <name><surname>Hart</surname> <given-names>R.</given-names></name> <name><surname>Norman</surname> <given-names>R. J.</given-names></name> <name><surname>Mattes</surname> <given-names>E.</given-names></name> <name><surname>Atkinson</surname> <given-names>H. C.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>Maternal and umbilical cord androgen concentrations do not predict digit ratio (2D: 4D) in girls: a prospective cohort study</article-title>. <source>Psychoneuroendocrinology</source> <volume>35</volume>, <fpage>1235</fpage>&#x02013;<lpage>1244</lpage>. <pub-id pub-id-type="doi">10.1016/j.psyneuen.2010.02.013</pub-id><pub-id pub-id-type="pmid">20299156</pub-id></citation></ref>
<ref id="B35">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>H&#x000F6;nekopp</surname> <given-names>J.</given-names></name> <name><surname>Bartholdt</surname> <given-names>L.</given-names></name> <name><surname>Beier</surname> <given-names>L.</given-names></name> <name><surname>Liebert</surname> <given-names>A.</given-names></name></person-group> (<year>2007</year>). <article-title>Second to fourth digit length ratio (2D:4D) and adult sex hormone levels: new data and a meta-analytic review</article-title>. <source>Psychoneuroendocrinology</source> <volume>32</volume>, <fpage>313</fpage>&#x02013;<lpage>321</lpage>. <pub-id pub-id-type="doi">10.1016/j.psyneuen.2007.01.007</pub-id><pub-id pub-id-type="pmid">17400395</pub-id></citation></ref>
<ref id="B36">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Honekopp</surname> <given-names>J.</given-names></name> <name><surname>Watson</surname> <given-names>S.</given-names></name></person-group> (<year>2010</year>). <article-title>Meta-analysis of digit ratio 2D:4D shows greater sex difference in the right hand</article-title>. <source>Am. J. Hum. Biol</source>. <volume>22</volume>, <fpage>619</fpage>&#x02013;<lpage>630</lpage>. <pub-id pub-id-type="doi">10.1002/ajhb.21054</pub-id><pub-id pub-id-type="pmid">20737609</pub-id></citation></ref>
<ref id="B37">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Honekopp</surname> <given-names>J.</given-names></name> <name><surname>Watson</surname> <given-names>S.</given-names></name></person-group> (<year>2011</year>). <article-title>Meta-analysis of the relationship between digit ratio 2D:4D and aggression</article-title>. <source>Pers. Individ. Dif</source>. <volume>51</volume>, <fpage>381</fpage>&#x02013;<lpage>386</lpage>. <pub-id pub-id-type="doi">10.1016/j.paid.2010.05.003</pub-id></citation></ref>
<ref id="B38">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Horrace</surname> <given-names>W. C.</given-names></name> <name><surname>Oaxaca</surname> <given-names>R. L.</given-names></name></person-group> (<year>2006</year>). <article-title>Results on the bias and inconsistency of ordinary least squares for the linear probability model</article-title>. <source>Econ. Lett</source>. <volume>90</volume>, <fpage>321</fpage>&#x02013;<lpage>327</lpage>. <pub-id pub-id-type="doi">10.1016/j.econlet.2005.08.024</pub-id></citation></ref>
<ref id="B39">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hurkens</surname> <given-names>S.</given-names></name> <name><surname>Kartik</surname> <given-names>N.</given-names></name></person-group> (<year>2009</year>). <article-title>Would I lie to you? On social preferences and lying aversion</article-title>. <source>Exper. Econ</source>. <volume>12</volume>, <fpage>180</fpage>&#x02013;<lpage>192</lpage>. <pub-id pub-id-type="doi">10.1007/s10683-008-9208-2</pub-id></citation></ref>
<ref id="B40">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jia</surname> <given-names>Y.</given-names></name> <name><surname>van Lent</surname> <given-names>L.</given-names></name> <name><surname>Zeng</surname> <given-names>Y</given-names></name></person-group> (<year>2014</year>). <article-title>Masculinity, testosterone, and financial misreporting</article-title>. <source>J. Account. Res</source>. <volume>52</volume>, <fpage>1195</fpage>&#x02013;<lpage>1246</lpage>. <pub-id pub-id-type="doi">10.1111/1475-679X.12065</pub-id></citation></ref>
<ref id="B41">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kartik</surname> <given-names>N.</given-names></name></person-group> (<year>2009</year>). <article-title>Strategic communication with lying costs</article-title>. <source>Rev. Econ. Stud</source>. <volume>76</volume>, <fpage>1359</fpage>&#x02013;<lpage>1395</lpage>. <pub-id pub-id-type="doi">10.1111/j.1467-937X.2009.00559.x</pub-id></citation></ref>
<ref id="B42">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Knickmeyer</surname> <given-names>R.</given-names></name> <name><surname>Baron-Cohen</surname> <given-names>S.</given-names></name> <name><surname>Raggatt</surname> <given-names>P.</given-names></name> <name><surname>Taylor</surname> <given-names>K.</given-names></name></person-group> (<year>2005</year>). <article-title>Foetal testosterone, social relationships, and restricted interests in children</article-title>. <source>J. Child Psychol. Psychiatry</source> <volume>46</volume>, <fpage>198</fpage>&#x02013;<lpage>210</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-7610.2004.00349.x</pub-id><pub-id pub-id-type="pmid">15679528</pub-id></citation></ref>
<ref id="B43">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kramer</surname> <given-names>R. S.</given-names></name></person-group> (<year>2017</year>). <article-title>Sexual dimorphism of facial width-to-height ratio in human skulls and faces: a meta-analytical approach</article-title>. <source>Evol. Hum. Behav</source>. <volume>38</volume>, <fpage>414</fpage>&#x02013;<lpage>420</lpage>. <pub-id pub-id-type="doi">10.1016/j.evolhumbehav.2016.12.002</pub-id><pub-id pub-id-type="pmid">29867760</pub-id></citation></ref>
<ref id="B44">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kratochv&#x000ED;l</surname> <given-names>L.</given-names></name> <name><surname>Flegr</surname> <given-names>J.</given-names></name></person-group> (<year>2009</year>). <article-title>Differences in the 2nd to 4th digit length ratio in humans reflect shifts along the common allometric line</article-title>. <source>Biol. Lett</source>. <volume>5</volume>, <fpage>643</fpage>&#x02013;<lpage>646</lpage>. <pub-id pub-id-type="doi">10.1098/rsbl.2009.0346</pub-id><pub-id pub-id-type="pmid">19553247</pub-id></citation></ref>
<ref id="B45">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lefevre</surname> <given-names>C. E.</given-names></name> <name><surname>Wilson</surname> <given-names>V. A.D</given-names></name> <name><surname>M.orton</surname> <given-names>F. B.</given-names></name> <name><surname>Brosnan</surname> <given-names>S. F.</given-names></name> <name><surname>Paukner</surname> <given-names>A.</given-names></name> <name><surname>Bates</surname> <given-names>T. C.</given-names></name></person-group> (<year>2014</year>). <article-title>Facial width-to-height ratio relates to alpha status and assertive personality in capuchin monkeys</article-title>. <source>PLoS ONE</source> <volume>9</volume>:<fpage>e93369</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0093369</pub-id><pub-id pub-id-type="pmid">24705247</pub-id></citation></ref>
<ref id="B46">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lewis</surname> <given-names>G. J.</given-names></name> <name><surname>Lefevre</surname> <given-names>C. E.</given-names></name> <name><surname>Bates</surname> <given-names>T. C.</given-names></name></person-group> (<year>2012</year>). <article-title>Facial width-to-height ratio predicts achievement drive in US presidents</article-title>. <source>Pers. Individ. Dif</source>. <volume>52</volume>, <fpage>855</fpage>&#x02013;<lpage>857</lpage>. <pub-id pub-id-type="doi">10.1016/j.paid.2011.12.030</pub-id></citation></ref>
<ref id="B47">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Lippa</surname> <given-names>R. A.</given-names></name></person-group> (<year>2016</year>). <article-title>Biological influences on masculinity,</article-title> in <source>APA Handbook of Men and Masculinities</source>, eds <person-group person-group-type="editor"><name><surname>Wong</surname> <given-names>Y. J. </given-names></name> <name><surname>Wester</surname><given-names>S. R. </given-names></name></person-group> (<publisher-loc>Washington, DC</publisher-loc>: <publisher-name>APA Books</publisher-name>).</citation></ref>
<ref id="B48">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lolli</surname> <given-names>L.</given-names></name> <name><surname>Batterham</surname> <given-names>A. M.</given-names></name> <name><surname>Kratochv&#x000ED;l</surname> <given-names>L.</given-names></name> <name><surname>Flegr</surname> <given-names>J.</given-names></name> <name><surname>Weston</surname> <given-names>K. L.</given-names></name> <name><surname>Atkinson</surname> <given-names>G.</given-names></name></person-group> (<year>2017</year>). <article-title>A comprehensive allometric analysis of 2nd digit length to 4th digit length in humans</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>284</volume>, <fpage>20170356</fpage>. <pub-id pub-id-type="doi">10.1098/rspb.2017.0356</pub-id><pub-id pub-id-type="pmid">28659446</pub-id></citation></ref>
<ref id="B49">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>L&#x000F3;pez-P&#x000E9;rez</surname> <given-names>R.</given-names></name> <name><surname>Spiegelman</surname> <given-names>E.</given-names></name></person-group> (<year>2013</year>). <article-title>Why do people tell the truth? Experimental evidence for pure lie aversion</article-title>. <source>Exper. Econ</source>. <volume>16</volume>, <fpage>233</fpage>&#x02013;<lpage>247</lpage>. <pub-id pub-id-type="doi">10.1007/s10683-012-9324-x</pub-id></citation></ref>
<ref id="B50">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Manning</surname> <given-names>J. T.</given-names></name> <name><surname>Kilduff</surname> <given-names>L.</given-names></name> <name><surname>Cook</surname> <given-names>C.</given-names></name> <name><surname>Crewther</surname> <given-names>B.</given-names></name> <name><surname>Fink</surname> <given-names>B.</given-names></name></person-group> (<year>2014</year>). <article-title>Digit ratio (2D: 4D): a biomarker for prenatal sex steroids and adult sex steroids in challenge situations</article-title>. <source>Front. Endocrinol</source>. <volume>5</volume>:<fpage>9</fpage>. <pub-id pub-id-type="doi">10.3389/fendo.2014.00009</pub-id><pub-id pub-id-type="pmid">24523714</pub-id></citation></ref>
<ref id="B51">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Manning</surname> <given-names>J. T.</given-names></name> <name><surname>Scutt</surname> <given-names>D.</given-names></name> <name><surname>Wilson</surname> <given-names>J.</given-names></name> <name><surname>Lewis-Jones</surname> <given-names>DI</given-names></name></person-group> (<year>1998</year>). <article-title>The ratio of 2nd to 4th digit length: a predictor of sperm numbers and concentrations of testosterone, luteinizing hormone and oestrogen</article-title>. <source>Hum. Reproduct</source>. <volume>13</volume>, <fpage>3000</fpage>&#x02013;<lpage>3004</lpage>. <pub-id pub-id-type="doi">10.1093/humrep/13.11.3000</pub-id><pub-id pub-id-type="pmid">9853845</pub-id></citation></ref>
<ref id="B52">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mare&#x0010D;kov&#x000E1;</surname> <given-names>K. W.</given-names></name> <name><surname>einbrand</surname> <given-names>Z.</given-names></name> <name><surname>Chakravarty</surname> <given-names>M. M.</given-names></name> <name><surname>Lawrence</surname> <given-names>C.</given-names></name> <name><surname>Aleong</surname> <given-names>R.</given-names></name> <name><surname>Leonard</surname> <given-names>G.</given-names></name> <etal/></person-group>. (<year>2011</year>). <article-title>Testosterone-mediated sex differences in the face shape during adolescence: subjective impressions and objective features</article-title>. <source>Hormones Behav</source>. <volume>60</volume>, <fpage>681</fpage>&#x02013;<lpage>690</lpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2011.09.004</pub-id><pub-id pub-id-type="pmid">21983236</pub-id></citation></ref>
<ref id="B53">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Matsumoto</surname> <given-names>D.</given-names></name> <name><surname>Hwang</surname> <given-names>H. C.</given-names></name></person-group> (<year>2021</year>). <article-title>Facial width-to-height ratios and deception skill</article-title>. <source>Pers. Individ. Dif</source>. <volume>174</volume>, <fpage>110683</fpage>. <pub-id pub-id-type="doi">10.1016/j.paid.2021.110683</pub-id></citation></ref>
<ref id="B54">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>McIntyre</surname> <given-names>M. H.</given-names></name> <name><surname>Ellison</surname> <given-names>P. T.</given-names></name> <name><surname>Lieberman</surname> <given-names>D. E.</given-names></name> <name><surname>Demerath</surname> <given-names>E.</given-names></name> <name><surname>Towne</surname> <given-names>B.</given-names></name></person-group> (<year>2005</year>). <article-title>The development of sex differences in digital formula from infancy in the fels longitudinal study</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>272</volume>, <fpage>1473</fpage>&#x02013;<lpage>1479</lpage>. <pub-id pub-id-type="doi">10.1098/rspb.2005.3100</pub-id><pub-id pub-id-type="pmid">16011922</pub-id></citation></ref>
<ref id="B55">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>McKelvey</surname> <given-names>R.</given-names></name> <name><surname>Palfrey</surname> <given-names>T.</given-names></name></person-group> (<year>1995</year>). <article-title>Quantal response equilibria for extensive form games</article-title>. <source>Exper. Econ</source>. <volume>1</volume>, <fpage>9</fpage>&#x02013;<lpage>41</lpage>. <pub-id pub-id-type="doi">10.1006/game.1995.1023</pub-id></citation></ref>
<ref id="B56">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Melumad</surname> <given-names>N. D.</given-names></name> <name><surname>Shibano</surname> <given-names>T.</given-names></name></person-group> (<year>1994</year>). <article-title>The securities and exchange commission and the financial accounting standards board: regulation through veto-based delegation</article-title>. <source>J. Account. Res</source>. <volume>32</volume>, <fpage>1</fpage>&#x02013;<lpage>37</lpage>. <pub-id pub-id-type="doi">10.2307/2491385</pub-id></citation></ref>
<ref id="B57">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Millet</surname> <given-names>K.</given-names></name></person-group> (<year>2011</year>). <article-title>An interactionist perspective on the relation between 2D:4D and behaviour: an overview of (moderated) relationships between 2D:4D and economic decision making</article-title>. <source>Pers. Individ. Dif</source>. <volume>51</volume>, <fpage>397</fpage>&#x02013;<lpage>401</lpage>. <pub-id pub-id-type="doi">10.1016/j.paid.2010.04.005</pub-id></citation></ref>
<ref id="B58">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Millet</surname> <given-names>K.</given-names></name> <name><surname>Buehler</surname> <given-names>F.</given-names></name></person-group> (<year>2018</year>). <article-title>A context dependent interpretation of inconsistencies in 2D: 4D findings: the moderating role of status relevance</article-title>. <source>Front. Behav. Neurosci</source>. <volume>11</volume>:<fpage>254</fpage>. <pub-id pub-id-type="doi">10.3389/fnbeh.2017.00254</pub-id><pub-id pub-id-type="pmid">29403365</pub-id></citation></ref>
<ref id="B59">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Millet</surname> <given-names>K.</given-names></name> <name><surname>Dewitte</surname> <given-names>S.</given-names></name></person-group> (<year>2006</year>). <article-title>Second to fourth digit ratio and cooperative behavior</article-title>. <source>Biol. Psychol</source>. <volume>71</volume>, <fpage>111</fpage>&#x02013;<lpage>115</lpage>. <pub-id pub-id-type="doi">10.1016/j.biopsycho.2005.06.001</pub-id><pub-id pub-id-type="pmid">16024156</pub-id></citation></ref>
<ref id="B60">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Millet</surname> <given-names>K.</given-names></name> <name><surname>Dewitte</surname> <given-names>S.</given-names></name></person-group> (<year>2009</year>). <article-title>The presence of aggression cues inverts the relation between digit ratio (2D:4D) and prosocial behaviour in a dictator game</article-title>. <source>Br. J. Psychol</source>. <volume>100</volume>, <fpage>151</fpage>&#x02013;<lpage>162</lpage>. <pub-id pub-id-type="doi">10.1348/000712608X324359</pub-id><pub-id pub-id-type="pmid">18590604</pub-id></citation></ref>
<ref id="B61">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mills</surname> <given-names>J.</given-names></name> <name><surname>Hogan</surname> <given-names>K. M.</given-names></name></person-group> (<year>2020</year>). <article-title>CEO facial masculinity and firm financial outcomes</article-title>. <source>Corporate Board</source> <volume>16</volume>, <fpage>39</fpage>&#x02013;<lpage>46</lpage>. <pub-id pub-id-type="doi">10.22495/cbv16i1art4</pub-id></citation></ref>
<ref id="B62">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Minozzi</surname> <given-names>W.</given-names></name> <name><surname>Woon</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>Direct response and the strategy method in an experimental cheap talk game</article-title>. <source>J. Behav. Exper. Econ</source>. <volume>85</volume>, <fpage>101498</fpage>. <pub-id pub-id-type="doi">10.1016/j.socec.2019.101498</pub-id></citation></ref>
<ref id="B63">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Montoya</surname> <given-names>E. A.</given-names></name> <name><surname>Terburg</surname> <given-names>D.</given-names></name> <name><surname>Bos</surname> <given-names>P. A.</given-names></name> <name><surname>Will</surname> <given-names>G.-J</given-names></name> <name><surname>B.uskens</surname> <given-names>V.</given-names></name> <name><surname>Raub</surname> <given-names>W.</given-names></name> <name><surname>van Honk</surname> <given-names>J.</given-names></name></person-group> (<year>2013</year>). <article-title>Testosterone administration modulates moral judgments depending on second-to-fourth digit ratio</article-title>. <source>Psychoneuroendocrinology</source> <volume>38</volume>, <fpage>1362</fpage>&#x02013;<lpage>1369</lpage>. <pub-id pub-id-type="doi">10.1016/j.psyneuen.2012.12.001</pub-id><pub-id pub-id-type="pmid">23290991</pub-id></citation></ref>
<ref id="B64">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Neyse</surname> <given-names>L.</given-names></name> <name><surname>Johannesson</surname> <given-names>M.</given-names></name> <name><surname>Dreber</surname> <given-names>A.</given-names></name></person-group> (<year>2021</year>). <article-title>2D:4D does not predict economic preferences: Evidence from a large, representative sample</article-title>. <source>J. Econ. Behav. Organ</source>. <volume>185</volume>, <fpage>390</fpage>&#x02013;<lpage>401</lpage>. <pub-id pub-id-type="doi">10.1016/j.jebo.2021.02.029</pub-id></citation></ref>
<ref id="B65">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pearson</surname> <given-names>M.</given-names></name> <name><surname>Schipper</surname> <given-names>B. C.</given-names></name></person-group> (<year>2012</year>). <article-title>The visible hand: finger ratio (2D:4D) and competitive bidding</article-title>. <source>Exper. Econ</source>. <volume>15</volume>, <fpage>510</fpage>&#x02013;<lpage>529</lpage>. <pub-id pub-id-type="doi">10.1007/s10683-011-9311-7</pub-id></citation></ref>
<ref id="B66">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pearson</surname> <given-names>M.</given-names></name> <name><surname>Schipper</surname> <given-names>B. C.</given-names></name></person-group> (<year>2013</year>). <article-title>Menstrual cycle and competitive bidding</article-title>. <source>Games Econ. Behav</source>. <volume>78</volume>, <fpage>1</fpage>&#x02013;<lpage>20</lpage>. <pub-id pub-id-type="doi">10.1016/j.geb.2012.10.008</pub-id></citation></ref>
<ref id="B67">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Peeters</surname> <given-names>R.</given-names></name> <name><surname>Vorsatz</surname> <given-names>M.</given-names></name> <name><surname>Walzl</surname> <given-names>M.</given-names></name></person-group> (<year>2015</year>). <article-title>Beliefs and truth-telling: a laboratory experiment</article-title>. <source>J. Econ. Behav. Organ</source>. <volume>113</volume>, <fpage>1</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1016/j.jebo.2015.02.009</pub-id></citation></ref>
<ref id="B68">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Puts</surname> <given-names>D. A.</given-names></name> <name><surname>Jones</surname> <given-names>B. C.</given-names></name> <name><surname>DeBruine</surname> <given-names>L. M.</given-names></name></person-group> (<year>2012</year>). <article-title>Sexual selection on human faces and voices</article-title>. <source>J. Sex Res</source>. <volume>49</volume>, <fpage>227</fpage>&#x02013;<lpage>243</lpage>. <pub-id pub-id-type="doi">10.1080/00224499.2012.658924</pub-id><pub-id pub-id-type="pmid">22380590</pub-id></citation></ref>
<ref id="B69">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ranehill</surname> <given-names>E.</given-names></name> <name><surname>Zethraeus</surname> <given-names>N.</given-names></name> <name><surname>Blomberg</surname> <given-names>L.</given-names></name> <name><surname>von Schoultz</surname> <given-names>B.</given-names></name> <name><surname>Hirschberg</surname> <given-names>A. L.</given-names></name> <name><surname>Johannesson</surname> <given-names>M.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>Hormonal contraceptives do not impact economic preferences: evidence from a randomized trial</article-title>. <source>Manag. Sci</source>. <volume>64</volume>, <fpage>4471</fpage>&#x02013;<lpage>4965</lpage>. <pub-id pub-id-type="doi">10.1287/mnsc.2017.2844</pub-id></citation></ref>
<ref id="B70">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Richards</surname> <given-names>G.</given-names></name> <name><surname>Browne</surname> <given-names>W. V.</given-names></name> <name><surname>Aydin</surname> <given-names>E.</given-names></name> <name><surname>Constantinescu</surname> <given-names>M.</given-names></name> <name><surname>Nave</surname> <given-names>G.</given-names></name> <name><surname>Kim</surname> <given-names>M. S.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Digit ratio (2D: 4D) and congenital adrenal hyperplasia (CAH): systematic literature review and meta-analysis</article-title>. <source>Hormones Behav</source>. <volume>126</volume>, <fpage>104867</fpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2020.104867</pub-id><pub-id pub-id-type="pmid">32998030</pub-id></citation></ref>
<ref id="B71">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rodriguez-Ruiz</surname> <given-names>C.</given-names></name> <name><surname>Munoz-Reyes</surname> <given-names>J. A.</given-names></name> <name><surname>Iglesias-Julios</surname> <given-names>M.</given-names></name> <name><surname>Sanchez-Pages</surname> <given-names>S.</given-names></name> <name><surname>Turiegano</surname> <given-names>E.</given-names></name></person-group> (<year>2019</year>). <article-title>Sex affects the relationship between third party punishment and cooperation</article-title>. <source>Sci. Rep</source>. <volume>9</volume>, <fpage>1</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1038/s41598-019-40909-8</pub-id><pub-id pub-id-type="pmid">30862895</pub-id></citation></ref>
<ref id="B72">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rohlf</surname> <given-names>J. H.</given-names></name></person-group> (<year>2015</year>). <article-title>The tps series of software</article-title>. <source>Hystrix</source> <volume>26</volume>, <fpage>9</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.4404/hystrix-26.1-11264</pub-id></citation></ref>
<ref id="B73">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryckmans</surname> <given-names>J.</given-names></name> <name><surname>Millet</surname> <given-names>K.</given-names></name> <name><surname>Warlop</surname> <given-names>L.</given-names></name></person-group> (<year>2015</year>). <article-title>The influence of facial characteristics on the relation between male 2D:4D and dominance</article-title>. <source>PLoS ONE</source> <volume>10</volume>:<fpage>e0143307</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0143307</pub-id><pub-id pub-id-type="pmid">26600255</pub-id></citation></ref>
<ref id="B74">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sadr</surname> <given-names>M.</given-names></name> <name><surname>Khorashad</surname> <given-names>B. S.</given-names></name> <name><surname>Talaei</surname> <given-names>A.</given-names></name> <name><surname>Fazeli</surname> <given-names>N.</given-names></name> <name><surname>H&#x000F6;nekopp</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>2D:4D suggests a role of prenatal testosterone in gender dysphoria</article-title>. <source>Arch. Sex. Behav</source>. <volume>49</volume>, <fpage>421</fpage>&#x02013;<lpage>432</lpage>. <pub-id pub-id-type="doi">10.1007/s10508-020-01630-0</pub-id><pub-id pub-id-type="pmid">31975034</pub-id></citation></ref>
<ref id="B75">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sanchez-Pages</surname> <given-names>S.</given-names></name> <name><surname>Rodriguez-Ruiz</surname> <given-names>C.</given-names></name> <name><surname>Turiegano</surname> <given-names>E.</given-names></name></person-group> (<year>2014</year>). <article-title>Facial masculinity: how the choice of measurement method enables to detect its influence on behaviour</article-title>. <source>PLoS ONE</source> <volume>9</volume>:<fpage>e112157</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0112157</pub-id><pub-id pub-id-type="pmid">25389770</pub-id></citation></ref>
<ref id="B76">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sanchez-Pages</surname> <given-names>S.</given-names></name> <name><surname>Turiegano</surname> <given-names>E.</given-names></name></person-group> (<year>2010</year>). <article-title>Testosterone, facial symmetry and cooperation in the prisoners&#x00027; dilemma</article-title>. <source>Physiol. Behav</source>. <volume>99</volume>, <fpage>355</fpage>&#x02013;<lpage>361</lpage>. <pub-id pub-id-type="doi">10.1016/j.physbeh.2009.11.013</pub-id><pub-id pub-id-type="pmid">19954750</pub-id></citation></ref>
<ref id="B77">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sanchez-Pages</surname> <given-names>S.</given-names></name> <name><surname>Turiegano</surname> <given-names>E.</given-names></name></person-group> (<year>2013</year>). <article-title>Two studies on the interplay between social preferences and biological characteristics</article-title>. <source>Behaviour</source> <volume>150</volume>, <fpage>713</fpage>&#x02013;<lpage>735</lpage>. <pub-id pub-id-type="doi">10.1163/1568539X-00003077</pub-id></citation></ref>
<ref id="B78">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sanchez-Pages</surname> <given-names>S.</given-names></name> <name><surname>Vorsatz</surname> <given-names>M.</given-names></name></person-group> (<year>2007</year>). <article-title>An experimental study of truth-telling in a sender&#x02013;receiver game</article-title>. <source>Games Econ. Behav</source>. <volume>61</volume>, <fpage>86</fpage>&#x02013;<lpage>112</lpage>. <pub-id pub-id-type="doi">10.1016/j.geb.2006.10.014</pub-id></citation></ref>
<ref id="B79">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schipper</surname> <given-names>B.</given-names></name></person-group> (<year>2015</year>). <article-title>Sex hormones and competitive bidding</article-title>. <source>Manag. Sci</source>. <volume>61</volume>, <fpage>249</fpage>&#x02013;<lpage>266</lpage>. <pub-id pub-id-type="doi">10.1287/mnsc.2014.1959</pub-id></citation></ref>
<ref id="B80">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schulz</surname> <given-names>K. M.</given-names></name> <name><surname>Molenda-Figueira</surname> <given-names>H. A.</given-names></name> <name><surname>Sisk</surname> <given-names>C. L</given-names></name></person-group> (<year>2009</year>). <article-title>Back to the future: the organizational-activational hypothesis adapted to puberty and adolescence</article-title>. <source>Hormones Behav</source>. <volume>55</volume>, <fpage>597</fpage>&#x02013;<lpage>604</lpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2009.03.010</pub-id><pub-id pub-id-type="pmid">19446076</pub-id></citation></ref>
<ref id="B81">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sisk</surname> <given-names>C. L.</given-names></name> <name><surname>Zehr</surname> <given-names>J. L.</given-names></name></person-group> (<year>2005</year>). <article-title>Pubertal hormones organize the adolescent brain and behavior</article-title>. <source>Front. Neuroendocrinol</source>. <volume>26</volume>, <fpage>163</fpage>&#x02013;<lpage>174</lpage>. <pub-id pub-id-type="doi">10.1016/j.yfrne.2005.10.003</pub-id><pub-id pub-id-type="pmid">16309736</pub-id></citation></ref>
<ref id="B82">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sobel</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>Lying and deception in games</article-title>. <source>J. Polit. Econ</source>. <volume>128</volume>, <fpage>907</fpage>&#x02013;<lpage>947</lpage>. <pub-id pub-id-type="doi">10.1086/704754</pub-id></citation></ref>
<ref id="B83">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stein</surname> <given-names>J. C.</given-names></name></person-group> (<year>1989</year>). <article-title>Cheap talk and the Fed: a theory of imprecise policy announcements</article-title>. <source>Am. Econ. Rev</source>. <volume>79</volume>, <fpage>32</fpage>&#x02013;<lpage>42</lpage>.</citation></ref>
<ref id="B84">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stirrat</surname> <given-names>M.</given-names></name> <name><surname>Perrett</surname> <given-names>D.</given-names></name></person-group> (<year>2010</year>). <article-title>Valid facial cues to cooperation and trust: male facial width and trustworthiness</article-title>. <source>Psychol. Sci</source>. <volume>21</volume>, <fpage>349</fpage>&#x02013;<lpage>354</lpage>. <pub-id pub-id-type="doi">10.1177/0956797610362647</pub-id><pub-id pub-id-type="pmid">20424067</pub-id></citation></ref>
<ref id="B85">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stirrat</surname> <given-names>M.</given-names></name> <name><surname>Perrett</surname> <given-names>D.</given-names></name></person-group> (<year>2012</year>). <article-title>Face structure predicts cooperation</article-title>. <source>Psychol. Sci</source>. <volume>23</volume>, <fpage>718</fpage>&#x02013;<lpage>722</lpage>. <pub-id pub-id-type="doi">10.1177/0956797611435133</pub-id></citation></ref>
<ref id="B86">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sutter</surname> <given-names>M.</given-names></name></person-group> (<year>2009</year>). <article-title>Deception through telling the truth?! Experimental evidence from individuals and teams</article-title>. <source>Econ. J</source>. <volume>119</volume>, <fpage>47</fpage>&#x02013;<lpage>60</lpage>. <pub-id pub-id-type="doi">10.1111/j.1468-0297.2008.02205.x</pub-id></citation></ref>
<ref id="B87">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Swift-Gallant</surname> <given-names>A.</given-names></name> <name><surname>Johnson</surname> <given-names>B. A.</given-names></name> <name><surname>Di Rita</surname> <given-names>V.</given-names></name> <name><surname>Breedlove</surname> <given-names>SM</given-names></name></person-group> (<year>2020</year>). <article-title>Through a glass, darkly: human digit ratios reflect prenatal androgens</article-title>. <source>Hormones Behav</source>. <volume>120</volume>, <fpage>104686</fpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2020.104686</pub-id><pub-id pub-id-type="pmid">32014464</pub-id></citation></ref>
<ref id="B88">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Trivers</surname> <given-names>R.</given-names></name> <name><surname>Manning</surname> <given-names>J.</given-names></name> <name><surname>Jacobson</surname> <given-names>A.</given-names></name></person-group> (<year>2006</year>). <article-title>A longitudinal study of digit ratio (2D:4D) and other finger ratios in Jamaican children</article-title>. <source>Hormones Behav</source>. <volume>49</volume>, <fpage>150</fpage>&#x02013;<lpage>156</lpage>. <pub-id pub-id-type="doi">10.1016/j.yhbeh.2005.05.023</pub-id><pub-id pub-id-type="pmid">16040033</pub-id></citation></ref>
<ref id="B89">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Turanovic</surname> <given-names>J. J.</given-names></name> <name><surname>Pratt</surname> <given-names>T. C.</given-names></name> <name><surname>Piquero</surname> <given-names>A. R.</given-names></name></person-group> (<year>2017</year>). <article-title>Exposure to fetal testosterone, aggression, and violent behavior: a meta-analysis of the 2D: 4D digit ratio</article-title>. <source>Aggression Violent Behav</source>. <volume>33</volume>, <fpage>51</fpage>&#x02013;<lpage>61</lpage>. <pub-id pub-id-type="doi">10.1016/j.avb.2017.01.008</pub-id></citation></ref>
<ref id="B90">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van den Bergh</surname> <given-names>B.</given-names></name> <name><surname>Dewitte</surname> <given-names>S.</given-names></name></person-group> (<year>2006</year>). <article-title>Digit ratio (2D:4D) moderates the impact of sexual cues on men&#x00027;s decisions in ultimatum games</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>273</volume>, <fpage>2091</fpage>&#x02013;<lpage>2095</lpage>. <pub-id pub-id-type="doi">10.1098/rspb.2006.3550</pub-id><pub-id pub-id-type="pmid">16846918</pub-id></citation></ref>
<ref id="B91">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Dongen</surname> <given-names>S.</given-names></name></person-group> (<year>2014</year>). <article-title>Associations among facial masculinity, physical strength, fluctuating asymmetry and attractiveness in young men and women</article-title>. <source>Ann. Hum. Biol</source>. <volume>41</volume>, <fpage>205</fpage>&#x02013;<lpage>213</lpage>. <pub-id pub-id-type="doi">10.3109/03014460.2013.847120</pub-id><pub-id pub-id-type="pmid">24555492</pub-id></citation></ref>
<ref id="B92">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Honk</surname> <given-names>J.</given-names></name> <name><surname>Montoya</surname> <given-names>E. R.</given-names></name> <name><surname>Bos</surname> <given-names>P. A.</given-names></name> <name><surname>van Vogt</surname> <given-names>M.</given-names></name> <name><surname>Terburg</surname> <given-names>D.</given-names></name></person-group> (<year>2012</year>). <article-title>New evidence on testosterone and cooperation</article-title>. <source>Nature</source> <volume>485</volume>, <fpage>E4</fpage>&#x02013;<lpage>E5</lpage>. <pub-id pub-id-type="doi">10.1038/nature11136</pub-id></citation></ref>
<ref id="B93">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Honk</surname> <given-names>J.</given-names></name> <name><surname>Schutter</surname> <given-names>D. J.</given-names></name> <name><surname>Bos</surname> <given-names>P. A.</given-names></name> <name><surname>Kruijt</surname> <given-names>A. W.</given-names></name> <name><surname>Lentjes</surname> <given-names>E. G.</given-names></name> <name><surname>Baron-Cohen</surname> <given-names>S.</given-names></name></person-group> (<year>2011a</year>). <article-title>Testosterone administration impairs cognitive empathy in women depending on second-to-fourth digit ratio</article-title>. <source>Proc. Natl. Acad. Sci. U.S.A</source>. <volume>108</volume>, <fpage>3448</fpage>&#x02013;<lpage>3452</lpage> <pub-id pub-id-type="doi">10.1073/pnas.1011891108</pub-id><pub-id pub-id-type="pmid">21300863</pub-id></citation></ref>
<ref id="B94">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Honk</surname> <given-names>J.</given-names></name> <name><surname>Terburg</surname> <given-names>D.</given-names></name> <name><surname>Bos</surname> <given-names>P. A.</given-names></name></person-group> (<year>2011b</year>). <article-title>Further notes on testosterone as a social hormone</article-title>. <source>Trends Cogn. Sci</source>. <volume>15</volume>, <fpage>291</fpage>&#x02013;<lpage>292</lpage>. <pub-id pub-id-type="doi">10.1016/j.tics.2011.05.003</pub-id></citation></ref>
<ref id="B95">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Honk</surname> <given-names>J.</given-names></name> <name><surname>Will</surname> <given-names>G. J.</given-names></name> <name><surname>Terburg</surname> <given-names>D.</given-names></name> <name><surname>Raub</surname> <given-names>W.</given-names></name> <name><surname>Eisenegger</surname> <given-names>C.</given-names></name> <name><surname>Buskens</surname> <given-names>V.</given-names></name></person-group> (<year>2015</year>). <article-title>Effects of testosterone administration on strategic gambling in poker play</article-title>. <source>Sci. Rep</source>. <volume>6</volume>, <fpage>80</fpage>&#x02013;<lpage>96</lpage>. <pub-id pub-id-type="doi">10.1038/srep18096</pub-id><pub-id pub-id-type="pmid">26915101</pub-id></citation></ref>
<ref id="B96">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Leeuwen</surname> <given-names>B.</given-names></name> <name><surname>Smeets</surname> <given-names>P.</given-names></name> <name><surname>Bovet</surname> <given-names>J.</given-names></name> <name><surname>Nave</surname> <given-names>G.</given-names></name> <name><surname>Stieglitz</surname> <given-names>J.</given-names></name> <name><surname>Whitehouse</surname> <given-names>A.</given-names></name></person-group> (<year>2020</year>). <article-title>Do sex hormones at birth predict later-life economic preferences? Evidence from a pregnancy birth cohort study</article-title>. <source>Proc. R. Soc. B Biol. Sci</source>. <volume>287</volume>, <fpage>20201756</fpage>. <pub-id pub-id-type="doi">10.1098/rspb.2020.1756</pub-id><pub-id pub-id-type="pmid">33352071</pub-id></citation></ref>
<ref id="B97">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Volz</surname> <given-names>K. G.</given-names></name> <name><surname>Vogeley</surname> <given-names>K.</given-names></name> <name><surname>Tittgemeyer</surname> <given-names>M.</given-names></name> <name><surname>von Cramon</surname> <given-names>D. Y.</given-names></name> <name><surname>Sutter</surname> <given-names>M.</given-names></name></person-group> (<year>2015</year>). <article-title>The neural basis of deception in strategic interactions</article-title>. <source>Front. Behav. Neurosci</source>. <volume>9</volume>:<fpage>27</fpage>. <pub-id pub-id-type="doi">10.3389/fnbeh.2015.00027</pub-id><pub-id pub-id-type="pmid">25729358</pub-id></citation></ref>
<ref id="B98">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>D.</given-names></name> <name><surname>Nair</surname> <given-names>K.</given-names></name> <name><surname>Kouchaki</surname> <given-names>M.</given-names></name> <name><surname>Zajac</surname> <given-names>E. J.</given-names></name> <name><surname>Zhao</surname> <given-names>X.</given-names></name></person-group> (<year>2019</year>). <article-title>A case of evolutionary mismatch? Why facial width-to-height ratio may not predict behavioral tendencies</article-title>. <source>Psychol. Sci</source>. <volume>30</volume>, <fpage>1074</fpage>&#x02013;<lpage>1081</lpage>. <pub-id pub-id-type="doi">10.1177/0956797619849928</pub-id><pub-id pub-id-type="pmid">31180794</pub-id></citation></ref>
<ref id="B99">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>J. T.-Y.</given-names></name> <name><surname>Spezio</surname> <given-names>M.</given-names></name> <name><surname>Camerer</surname> <given-names>C. F.</given-names></name></person-group> (<year>2010</year>). <article-title>Pinocchio&#x00027;s pupil: using eyetracking and pupil dilation to understand truth telling and deception in sender-receiver games</article-title>. <source>Am. Econ. Rev</source>. <volume>100</volume>, <fpage>984</fpage>&#x02013;<lpage>1007</lpage>.<pub-id pub-id-type="doi">10.1257/aer.100.3.984</pub-id></citation></ref>
<ref id="B100">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Weston</surname> <given-names>E. M.</given-names></name> <name><surname>Friday</surname> <given-names>A. E.</given-names></name> <name><surname>Lio</surname> <given-names>P.</given-names></name></person-group> (<year>2007</year>). <article-title>Biometric evidence that sexual selection has shaped the hominin face</article-title>. <source>PLoS ONE</source> <volume>2</volume>:<fpage>e710</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0000710</pub-id><pub-id pub-id-type="pmid">17684556</pub-id></citation></ref>
<ref id="B101">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wibral</surname> <given-names>M.</given-names></name> <name><surname>Dohmen</surname> <given-names>T.</given-names></name> <name><surname>Klingm&#x000FC;ller</surname> <given-names>D.</given-names></name> <name><surname>Weber</surname> <given-names>B.</given-names></name> <name><surname>Falk</surname> <given-names>A.</given-names></name></person-group> (<year>2012</year>). <article-title>Testosterone administration reduces lying in men</article-title>. <source>PLoS ONE</source> <volume>7</volume>:<fpage>e46774</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0046774</pub-id><pub-id pub-id-type="pmid">23071635</pub-id></citation></ref>
<ref id="B102">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wong</surname> <given-names>E. M.</given-names></name> <name><surname>Ormiston</surname> <given-names>M. E.</given-names></name> <name><surname>Haselhuhn</surname> <given-names>M. P.</given-names></name></person-group> (<year>2011</year>). <article-title>A face only an investor could love: CEO facial structure predicts firm financial performance</article-title>. <source>Psychol. Sci</source>. <volume>22</volume>, <fpage>1478</fpage>&#x02013;<lpage>1483</lpage>. <pub-id pub-id-type="doi">10.1177/0956797611418838</pub-id></citation></ref>
<ref id="B103">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wozniak</surname> <given-names>D.</given-names></name> <name><surname>Harbaugh</surname> <given-names>H. T.</given-names></name></person-group> (<year>2014</year>). <article-title>The menstrual cycle and performance feedback alter gender differences in competitive choices</article-title>. <source>J. Labor Econ</source>. <volume>32</volume>, <fpage>161</fpage>&#x02013;<lpage>198</lpage>. <pub-id pub-id-type="doi">10.1086/673324</pub-id></citation></ref>
<ref id="B104">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zethraeus</surname> <given-names>N.</given-names></name> <name><surname>Kocoska-Maras</surname> <given-names>L.</given-names></name> <name><surname>Ellingsen</surname> <given-names>T.</given-names></name> <name><surname>von Schoultz</surname> <given-names>B.</given-names></name> <name><surname>Hirschberg</surname> <given-names>A. L.</given-names></name> <name><surname>Johannesson</surname> <given-names>M.</given-names></name></person-group> (<year>2009</year>). <article-title>A randomized trial of the effect of estrogen and testosterone on economic behavior</article-title>. <source>Proc. Natl. Acad. Sci. U.S.A</source>. <volume>106</volume>, <fpage>6535</fpage>&#x02013;<lpage>6538</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.0812757106</pub-id><pub-id pub-id-type="pmid">19366676</pub-id></citation></ref>
<ref id="B105">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zheng</surname> <given-names>Z.</given-names></name> <name><surname>Cohn</surname> <given-names>M. J.</given-names></name></person-group> (<year>2011</year>). <article-title>Developmental basis of sexually dimorphic digit ratios</article-title>. <source>Proc. Natl. Acad. Sci. U.S.A</source>. <volume>108</volume>, <fpage>16289</fpage>&#x02013;<lpage>16294</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.1108312108</pub-id><pub-id pub-id-type="pmid">21896736</pub-id></citation></ref>
</ref-list>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>For a survey of the experimental literature on non-strategic communication, see Abeler and Raymond (<xref ref-type="bibr" rid="B1">2019</xref>).</p></fn>
<fn id="fn0002"><p><sup>2</sup>Only 1 in 3 financial advisors in the US, 1 in 4 board members in European companies and 1 in 5 US congresspersons are women (UN WOMEN, 2014; Bureau of Labor European Comission, 2016; Statistics, 2017).</p></fn>
<fn id="fn0003"><p><sup>3</sup>Deception games (e.g., Gneezy, <xref ref-type="bibr" rid="B29">2005</xref>) differ from the family of sender-receiver games our design belongs to in that the receiver does not know the set of payoffs in deception games but does in ours.</p></fn>
<fn id="fn0004"><p><sup>4</sup>Two other criticisms of this measure is that sex differences in 2D:4D might be the result of an allometric shift in shape (Kratochv&#x000ED;l and Flegr, <xref ref-type="bibr" rid="B44">2009</xref>; Lolli et al., <xref ref-type="bibr" rid="B48">2017</xref>) and that 2D:4D changes across life (McIntyre et al., <xref ref-type="bibr" rid="B54">2005</xref>; Trivers et al., <xref ref-type="bibr" rid="B88">2006</xref>). However, very recently, Butovskaya et al. (<xref ref-type="bibr" rid="B8">2021</xref>) have observed in a very large sample (&#x0003E;7000) across different ethnicities and ages that 2D:4D is stable during life and that sex differences persist after controlling for allometry issues.</p></fn>
<fn id="fn0005"><p><sup>5</sup>We surveyed many of them in Sanchez-Pages et al. (<xref ref-type="bibr" rid="B75">2014</xref>).</p></fn>
<fn id="fn0006"><p><sup>6</sup>Because our sample only comprises men, we use male pronouns throughout the paper.</p></fn>
<fn id="fn0007"><p><sup>7</sup>See Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>) for a formal proof of these results.</p></fn>
<fn id="fn0008"><p><sup>8</sup>Sutter (<xref ref-type="bibr" rid="B86">2009</xref>) called the latter <italic>sophisticated deception</italic>.</p></fn>
<fn id="fn0009"><p><sup>9</sup>Erat and Gneezy (<xref ref-type="bibr" rid="B21">2012</xref>) call these lies <italic>altruistic white lies</italic>.</p></fn>
<fn id="fn0010"><p><sup>10</sup>Stirrat and Perrett (<xref ref-type="bibr" rid="B84">2010</xref>) detected a Spearman correlation <italic>r</italic><sub><italic>s</italic></sub> &#x0003D; &#x02212;0.34 between fWHR and trustworthiness. We needed 106 observations to detect that correlation in the present study with &#x003B1; &#x0003D; 0.05 and &#x003B2; &#x0003D; 0.90. Sanchez-Pages and Turiegano (<xref ref-type="bibr" rid="B77">2013</xref>) detected an effect of size <italic>d</italic> &#x0003D; 0.409 of fMM on rejections of a low offer in the Ultimatum Game; assuming that 56% of messages would be truthful, as observed in Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>), 210 observations were needed to detect the same effect size under identical &#x003B1; and &#x003B2;. Finally, Sanchez-Pages et al. (<xref ref-type="bibr" rid="B75">2014</xref>) found a Pearson correlation &#x003C1; &#x0003D; &#x02212;0.164 between fMM and bids in a first-price auction. We needed 314 observations to detect that correlation.</p></fn>
<fn id="fn0011"><p><sup>11</sup>That second experiment was on cooperation and third party punishment. Results are reported in Rodriguez-Ruiz et al. (<xref ref-type="bibr" rid="B71">2019</xref>), although subjects in the present study who took part in that experiment constituted a small part of the overall sample. For the purpose of that second experiment, we collected data on upper body strength, fluctuating asymmetry, self-perceived attractiveness and sexual orientation. We do not test or report these measures as they are not masculinity traits nor have a previously described association with dishonesty.</p></fn>
<fn id="fn0012"><p><sup>12</sup>The evidence on the differential effect of the strategy method and the direct response method in sender-receiver games is scant and mixed. L&#x000F3;pez-P&#x000E9;rez and Spiegelman (<xref ref-type="bibr" rid="B49">2013</xref>) found no significant differences whereas Minozzi and Woon (<xref ref-type="bibr" rid="B62">2020</xref>) observed increased overcommunication under the strategy method. We find that average behavior is similar to that in Sanchez-Pages and Vorsatz (<xref ref-type="bibr" rid="B78">2007</xref>), who employed the direct response method. Note, however, that we are interested on whether truth-telling relates to masculinity markers rather than on truth-telling rates themselves.</p></fn>
<fn id="fn0013"><p><sup>13</sup>The evidence on prenatal hormone effects in human and non-human primates shows that androgens are the masculinizing agent whilst oestrogens affect both sexes <italic>in utero</italic>. In contrast, there are dramatic sex differences in both androgen and oestrogen exposure during puberty. It has been proposed that puberal exposure acts by refining the organizational effect of sexual hormones during early development (Montoya et al., <xref ref-type="bibr" rid="B63">2013</xref>).</p></fn>
<fn id="fn0014"><p><sup>14</sup>The rest of punishment rates were 9.52% for {truth,distrust}, 4.77% for {lie, distrust} and 2.97% for {truth,trust}.</p></fn>
<fn id="fn0015"><p><sup>15</sup>This is in line with Gneezy (<xref ref-type="bibr" rid="B29">2005</xref>) and Peeters et al. (<xref ref-type="bibr" rid="B67">2015</xref>) who found that the higher the expected costs of truth-telling, that is, the more trusting receivers are expected to be, the more likely are senders to lie.</p></fn>
<fn id="fn0016"><p><sup>16</sup>We ran a version of this model were the three masculine traits were interacted with a dummy taking the value 1 if the subject expected more than 50% of receivers to follow messages. This model returned a <italic>p</italic>-value of 0.145 for the t-test of the coefficient on the interaction of the expected trust dummy and the subject&#x00027;s fWHR being zero.</p></fn>
<fn id="fn0017"><p><sup>17</sup>This <italic>p</italic>-value is from the <italic>t</italic>-test of the coefficient on the interaction between the expected trust dummy and the subject&#x00027;s 2D:4D being equal to zero in the interacted version of the model.</p></fn>
</fn-group>
<fn-group>
<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> MV acknowledges funding from the Spanish Ministry of Science and Technology research grant ECO2015-65701-P and SS-P and ET from grant ECO2015-66281-P.</p>
</fn>
</fn-group>
</back>
</article> 