在有限理性的基础上,对N人合作博弈的对称Nash均衡进行了分析,并引入演化博弈理论分析了参与人的演化均衡稳定策略,得到了不同策略选择下的均衡点。进而应用生物复制动态理论对离散时间及连续时间下的复制动态稳定集进行了研究。最后通过实例说明了该方法在博弈均衡选择上的有效性。
This paper analyzes the symmetric Nash equilibrium of N-person cooperative games based on bounded rationality.And the stable strategy of evolutionary equilibrium is realized through adopting evolutionary games theory and the equilibrium points are got under different strategies.Furthermore,by using mechanism of replicator dynamic,the stable set of replicator dynamic is researched under discrete time and continuous time.Eventually,a practical example is provided to illustrate the validity of this method for the selection of game equilibrium.