基于复制动态博弈的大学生上课选座位博弈分析

Game Analysis of College Students Selecting Seats in Class Based on Replicator Dynamic Game

运用大规模有限理性群体复制动态博弈模型,结合了大学生在上课时坐在教室前排和坐在教室后排时的收益情况,分析了大学生上课选座位的动态演化过程。结果表明:在教室座位有空缺的条件下,大学生会倾向于坐在教室后排而不是教室前排,最终全部坐在后排导致前排无人坐,即使少数学生偏离了该稳定状态,复制动态最终依然会收敛于上述稳定状态。

This paper uses a large-scale finite rational group copy dynamic game model, combined with the income of college students sitting in the front row of the classroom and sitting in the back row of the classroom during the class, analyzes the dynamic evolution process of college students＇ seat selection. The results show that under the condition that there are vacancies in the classroom, college students tend to sit in the back row of the classroom rather than in front of the classroom. Eventually all sitting in the back row leads to no one sitting in the front row, even a small number of students from the steady state, dynamic replication will still converge to the final steady state.