期刊文献+

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
下载PDF
导出
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.
作者 张会娟 张强
机构地区 北京理工大学
出处 《模糊系统与数学》 CSCD 北大核心 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)
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 Fuzzy Non-cooperative Games Simple Berge Equilibrium Weak Pareto Efficient Ky Fan Inequality
  • 相关文献

参考文献11

  • 1Berge C.Théorie générale des jeux à n-personnes[M].Paris:Gauthier Villars,1957.
  • 2Zhukovskii VI.Linear quadratic differential games[M].Naoukova Doumka:Kiev,1994.
  • 3Nessah R,Larbani M,Tazdait T.A note on Berge equilibrium[J].Appl.Math.Lett,2007,20:926-932.
  • 4Larbani M,Nessah R.A note on the existence of Berge and Berge-Nash equilibria[J].Mathematical Social Sciences,2008,55:258-271.
  • 5Abalo K Y,Kostreva M M.Berge equilibrium:some recent results from fixed-point theorems[J].Appl.Math.Comput,2005,169:624-638.
  • 6Abalo K Y,Kostreva M M.Some existence theorems of Nash and Berge equilibria[J].Appl.Math.Lett,2004,17:569-573.
  • 7Abalo K Y,Kostreva M M.Fixed points,Nash games and their organizations[J].Topol.Methods Nonlinear Anal.,1996,8:205-215.
  • 8Abalo K Y,Kostreva M M.Equi-well-posed games[J].Optim.Theory Appl.,1996,89(1):89-99.
  • 9Zimmermann H J.Fuzzy set theory and its applications[M].Nijhoff,Boston:Kluwer,1985.
  • 10Fan K.Minimax inequality and application[C]//Shisha O.Inequalities III.New York:Academic Press,1972.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部