模糊二人非合作对策的简单Berge均衡  

The Simple Berge Equilibrium of Fuzzy Two-person Non-cooperative Games

作　　者：张会娟[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：《模糊系统与数学》2010年第2期99-104,共6页Fuzzy Systems and Mathematics

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(107008200400024)

摘　　要：研究模糊二人非合作对策的简单Berge均衡的存在性。基于Zimmermann处理模糊多目标线性规划的观点和Zhukovskii提出的简单Berge均衡概念,定义了模糊二人非合作对策的简单Berge均衡并借助于Ky Fan不等式证明其存在性。The existence of simple Berge equilibrium for fuzzy two-person non-cooperattve games was investigated. Based on Zimmermann＇ s approach for solving linear multiobjective problems with fuzzy goals and the concept of simple Berge equilibrium introduced by Zhukovskii, the simple Berge equilibrium for fuzzy two-person non-cooperative games was defined and its existence was proved based on Ky Fan inequality.

关 键 词：模糊非合作对策 简单Berge均衡 弱帕雷托有效 KY Fan不等式 

分 类 号：O159[理学—数学] O225[理学—基础数学]