演化博弈视角下网课平台“刷课”行为控制研究

该研究从演化博弈论的角度分析影响网课平台和“刷课”行为者选择策略的因素，进而构建博弈双方的收益矩阵，得出相应的复制动态方程；再通过雅克比矩阵特征向量值分析演化稳定策略以及收敛过程，并运用Matlab 2018b进行了算例仿真.结果显示，网课平台和大学生之间策略选择具有相关性，通过合理设置网课平台监管奖励机制和对“刷课”行为的惩罚机制，可以使双方博弈结果收敛到理想状态.

The control of “courses cheating” behavior in the online course platform from the perspective of evolutionary game

This work aims at analyzing the influence and control strategy of players on the online course platform about the “courses cheating” behavior. From the perspective of evolutionary game theory， the influencing factors of college students' selection strategies affecting online course platform and “courses cheating” are take into consideration according to previous studies. Then the income matrix of both sides of the game and the corresponding replication dynamic equation are obtained. The evolutionary stability strategy and convergence process are analyzed through the eigenvalue of Jacobian matrix. Finally， A numerical example is introduced to investigate the evolution stability strategy and convergence process in Matlab 2018b. The results show that there is a correlation between online course platform and college students' strategy choice. By setting up a reasonable mechanism of online course platform supervision and reward along with college students' “courses cheating” behavior's punishment， the game results of both sides are able to converge to an ideal state.