Study of Education and Punishment Based on Game Theory

Abstract

Punishment as a means to regulate students behavior has reached a consensus in Chinese education for thousands of years, but it does not play a sufficient role in guiding the specif-ic problems in todays social practice. Based on the idea of game theory, this paper con-structs a mixed strategy game model in which schools, teachers and students participate at the same time, and through the analysis of the mixed strategy Nash equilibrium of the game model, puts forward methods to reduce students mistakes and improve students moral level. The results show that the probability of teachers implementation of educa-tional discipline is mainly related to the degree of punishment for teachers failure to im-plement educational discipline, the income and cost of paying attention to students moral cultivation; Students wrong behaviors are influenced by the spiritual benefits, costs, pun-ishments, rewards and costs obtained by teachers implementation of educational punish-ments, punishments obtained by teachers non implementation of educational punish-ments, and the benefits and costs of schools emphasis on students moral cultivation; It will be more helpful to improve the efficiency of the standardized training of students by improving the punishment for teachers failure to implement education discipline and stu-dents wrong behavior and reducing the cost of paying attention to students moral training.