Optimizing the Home-School-Society Collaborative Mechanism for College Students' Mental Health: An Evolutionary Game Theory Approach

JingJia Guo^*FangCheng Tang

• Beijing University of Chemical Technology, Beijing, China

Collaborative cultivation of college students' mental health necessitates the joint involvement and concerted efforts of families, schools, and society. Clarifying the internal mechanisms and key influencing factors driving effective tripartite collaboration is of pivotal significance for establishing a robust and efficient mental health support system. This study constructs a comprehensive collaborative education model involving families, schools, and society based on evolutionary game theory. The model specifically focuses on exploring the critical impacts of government policy support (including financial subsidies), collaborative cost-sharing arrangements, and benefit allocation mechanisms on the behavioral strategies and participation decisions of all parties involved. Through rigorous stability analysis and dynamic simulation experiments, the research reveals that targeted government financial subsidy policies can significantly enhance the participation enthusiasm and sustained engagement of both families and schools. Furthermore, reasonably setting the intensity of incentives for social institutions emerges as the key factor in promoting their willingness to open and share resources. The research further demonstrates that a stable, high-collaboration state is achievable when families receive adequate policy support, schools' leading coordination costs are effectively covered, and social institutions' tangible and intangible cooperation benefits demonstrably exceed their input costs. Finally, this paper puts forward concrete, targeted policy recommendations, providing a valuable theoretical foundation and practical reference framework for improving the long-term collaborative education mechanism for college students' mental health.