基于排队博弈的群体稳定性分析

An Analysis of the Group Stability Based on Queuing Game

本文基于排队博弈理论得到了群体不稳定事件发生的机理和演化过程,并在分析群体中各类个体状态转化关系的基础上,建立了群体不稳定事件在自由扩散条件下和受控制条件下的状态方程。通过方程求解表明:控制实施之前不稳定单元数量会随时间成指数函数形式增长;合理调整控制响应时间、控制实施强度和控制实施时间耗费,能有效减缓或阻止群体不稳定事件的发生。

The mechanism of the evolution and occurrence of the unstable events of group based on queuing game are obtained in this paper. Further, the formulas about the unstable events of group under free-spreading and controlled conditions on the basis of the analysis of the conversion among various types of in-dividuals are established. The solution shows that the quantities of the unstable units will be in exponential growth as time goes by, and by adjusting the control of the response time, the implementation intensity and the implementation time-consuming, the unstable events of group can be alleviated or prevented effi-ciently.