运用演化博弈理论,以高新技术产业为背景,加入了溢出效应参数,对离散动力系统Nash均衡的稳定性进行了分析.分析结果表明,当模型的某些参数超出一定范围发生变化时,Nash均衡点失去稳定性,出现倍周期分岔和混沌状态,溢出效应参数提前了Nash均衡状态的出现.同时通过数值仿真对结论作出模拟,并对结论在高新技术产业竞争中的实际应用作出了说明.
Using evolutionary game theory, taking the high - tech industries as the background, and adding the spillover effect parameters, the stability of discrete systems of the Nash equilibrium was discussed in this paper. The results showed that when some of the parameters of the model beyond a certain scope changes, the loss of Nash equilibrium stability appeared period - doubling bifurcation and chaotic state, the spillover effect of the parameters advanced the Nash equilibrium state. Simultaneously, numerical simulation was carried out. And an explanation of the conclusion in the competition of practical application of new and high - tech industries was given.