非对称博弈的一种一般描述及其ESS 被引量：1

A general form of asymmetry game and its ESS

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摘要考虑到博弈进化过程中群体状态的改变会影响参与人的收益支付,给出非对称博弈的一种一般描述,在相应的描述下定义非对称博弈的ESS。相关结果表明,所定义的非对称博弈的ESS具有和对称博弈ESS的一些相似性质,并且在支付线性的条件下,还具有和对称博弈ESS相似的一阶和二阶最优反应条件。最后研究了支付线性的刻画方式,给出了具有这种描述特征的一个矩阵博弈实例。 Taking into consideration the influence of the population states on the individual payoffs in the evolutionary dynamics a general form of the asymmetry game is presented. The ESS of the asymmetry game in this general form is then defined. The results show that the ESS has the similar properties of the ESS of the symmetry game and meets the similar first-order and second-order best-reply conditions of the symmetry game when the payoff is linear. Finally the formulation of the linear payoff is given and as an example of the extensive form a matrix game is studied.

作者张春华丁占文

机构地区江苏大学理学院

出处《成都信息工程学院学报》 2008年第6期698-703,共6页 Journal of Chengdu University of Information Technology

基金国家自然科学基金资助项目(90610031)

关键词非对称博弈 ESS 线性支付映射矩阵博弈 asymmetry game ESS linear payoff-mapping matrix game

分类号 O225 [理学—运筹学与控制论]

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