模糊值二人零和对策的Nash均衡策略  

Nash Equilibrium Strategy of Two-person Zero-sum Games with Fuzzy Payoffs

作　　者：李存林[1] 张强[1] 

机构地区：[1]北京理工大学管理与经济学院,北京100081

出　　处：《运筹与管理》2009年第5期7-13,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(70471063;70771010);985工程二期资助项目(107008;200400024);北京理工大学研究生科技创新项目资助(200813;200818)

摘　　要：我们将在Ramík定义的模糊最大序关系基础上研究模糊环境中的二人零和对策。在非对称模糊数基础上,引入模糊环境中的几种Nash均衡策略,讨论各种均衡策略存在的充要条件。并引入含参变量确定性矩阵对策及其均衡策略的概念,讨论含参变量确定性矩阵对策的Nash均衡策略和模糊值矩阵对策的均衡策略的关系。Raklk presents fuzzy max order in uncertainty environment. We investigate two-person zero-sum games with fuzzy payoffs based on fuzzy max order. First, we introduce several concepts of equilibrium strategies which Takashi Maeda made and generalize the existence condition of the equilibrium strategies. Then, we introduce the concept of parametric bi-matrix games with crisp payoffs and investigate the relation between the fuzzy matrix games and the crisp parametric bi-matrix. Last, we use a numerical example to support our theory.

关 键 词：(模糊)二人零和对策 (弱)Pareto Nash均衡策略 参变量对策 模糊最大序 

分 类 号：O225[理学—运筹学与控制论]