双目标单群体博弈纳什均衡的存在性  

The existence of the bi-objective population game

作　　者：汪波[1] 杨辉[1] 杨光惠[1] 武文俊[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《西南民族大学学报（自然科学版）》2013年第6期919-922,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金(11271098)

摘　　要：群体博弈的更多实际问题中,需考虑代理人在以多个目标值作为决策标准下如何做出决策的问题,因此将在单目标群体博弈和多目标博弈基础上提出双目标单群体博弈的Pareto-Nash弱平衡点的定义,并证明该平衡点的存在性.In actual examples of population game, it should be considered how agents of population make decision under multiple targets. Therefore, this paper puts forward the definition of weakly Pareto-Nash equilibrium of hi-objective population game on the basis of simple target of population game and multiple target game. Further, this paper also gives the reason of the existence of the equilibrium point of the bi-objective population game.

关 键 词：群体博弈 多目标博弈 弱Pareto-Nash平衡点 闭尖凸锥 

分 类 号：O225[理学—运筹学与控制论]