多群体模型下策略集的进化稳定

The Evolutionary Stability of the Strategy Set under the Multi-population Model

为了寻求策略在动力学下的进化稳定性,克服严格纳什均衡的缺陷,定义了一个纯策略弱优回应映射,得到了任意保号选择动力学,若面在纯策略弱优回应映射下是闭的,则它是渐进稳定的.

In order to search for the evolutionary stability of the strategy in dynamics and overcome the shortcomings of the strict Nash equilibrium, a pure-strategy better reply correspondence is defined and random sign-preserving dynamics is obtained. If the face is closed under the pure-strategy better reply correspondence, then it is asymptotically stable in sign-preserving selection dynamics.