AUTHOR=Frąckiewicz Piotr 

TITLE=Strong Isomorphism in Marinatto–Weber Type Quantum Games

JOURNAL=Frontiers in ICT

VOLUME=3

YEAR=2016

URL=https://www.frontiersin.org/journals/ict/articles/10.3389/fict.2016.00012

DOI=10.3389/fict.2016.00012

ISSN=2297-198X

ABSTRACT=<p>Our purpose is to focus attention on a new criterion for quantum schemes by bringing together the notions of quantum game and game isomorphism. A quantum game scheme is required to generate the classical game as a special case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be isomorphic as well. We show how this isomorphism condition influences the players’ strategy sets. We are concerned with the Marinatto–Weber type quantum game scheme and the strong isomorphism between games in strategic form.</p>