Behavioral analysis of teachers and students in higher education supervision mechanisms

It is of great significance to study the behavior of teachers and students under the teaching supervision mechanism in higher education institutions for enhancing teaching quality. This paper investigates the behavioral evolutions among teachers, students and teaching supervisors by using evolutionary game theory. A tripartite game model is constructed, and sufficient conditions for ensuring the asymptotic stability of equilibrium points are provided. Based on these stability criteria, we analyzed the evolutions among these three participants, especially when students diligently studied. The results indicate that an increase in supervision costs (including time and energy required for supervision) will reduce the willingness to supervise. Teachers' decisions are heavily influenced by psychological costs and punishment mechanisms. Students' diligence directly correlates with incentive levels and potential losses. The findings of this study can provide insights for administrators in higher education institutions.