Evolutionary Game Theory Of Supervisor-Student Behavior In Engineering Master’s Education And Its Management Applications

In recent years,with the continuous increase in the number of master’s degree students applying,the contradiction between scale and quality has become increasingly severe.Strengthening the quality of master’s degree education has become an important task for universities.In the process of master’s degree education,the relationship between mentors and students plays a crucial role,and their cooperative behavior is of great significance for improving teaching quality and student development outcomes.However,most current research approaches the topic from static perspectives such as questionnaire surveys and policy analysis,neglecting the dynamic study of mentor-student behavior in the master’s degree education process.As a result,the formation process,influencing factors,and mechanisms of behavior among the management department,mentors,and students are often not deeply explored,and there is a lack of quantitative analysis as a decision-making tool for management.Therefore,addressing the aforementioned issues,this article focuses on the following main tasks:Firstly,the relevant processes of master’s degree education and the behavior of the involved parties are reviewed,and the applicability of using evolutionary game theory to study mentor-student behavior in master’s degree education is proposed,laying the foundation for the subsequent research.Secondly,based on evolutionary game theory,the game relationship between mentors and graduate students in the master’s degree education process is explored.A mentor-student behavior evolutionary game model is constructed,analyzing the evolutionary stable strategies under different scenarios and the key factors influencing stable strategies.MATLAB is used to conduct simulation experiments on the game model,studying the impact of parameter changes on the game results.This not only validates the analysis process but also provides relevant suggestions to promote cooperative behavior between mentors and students.Next,based on the bilateral model,a trilateral behavior evolutionary game model involving the participation of the college management department is constructed.By analyzing the profits and utilities under different strategies,the game behavior characteristics and evolutionary patterns between the college management department and mentors/students are revealed.The research finds that the participation of the college management department has a significant promoting effect on the selection of cooperative strategies by mentors and graduate students.Appropriately increasing rewards and punishments for mentors can further enhance this promoting effect.Finally,the application of teacher-student evolutionary game theory in the management of mentorship relationships was discussed.Based on the analysis of the collaborative model between mentors and graduate students,as well as the costs and benefits for both parties,this study proposed two algorithms for student behavior contagion within a research team led by a mentor and between research teams led by different mentors.Additionally,a scheme was put forward to apply the research results of the teacher-student behavioral evolution model to mentorship relationship management.The implementation process and application methods of mentorship relationship management based on evolutionary game strategies were illustrated through examples.This work laid a solid foundation for the development of an intelligent management system that enhances mentorship relationships and promotes collaboration between mentors and students.This article mainly analyzes the game behavior between mentors,students,and the college management department in the master’s degree education process from a dynamic research perspective,using the analytical framework of evolutionary game theory.It designs an application model for mentor-student cooperation,proposing a new approach for improving mentorship relationship management and mentor-student cooperation in master’s degree education.