部分合作多目标博弈均衡点的存在性  

Existence of equilibria for partial cooperative multi-objective game

作　　者：邓喜才[1] 左羽[1] 夏顺友[1] 

机构地区：[1]贵州师范学院数学与计算机科学学院,贵州贵阳550018

出　　处：《辽宁工程技术大学学报（自然科学版）》2015年第1期129-134,共6页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(11161008);教育部博士点基金资助项目(20115201110002);贵州省科学技术基金资助项目([2012]2289;[2013]2235)

摘　　要：为解决部分合作多目标博弈均衡点的存在性问题,引入部分合作弱Pareto-Nash均衡和部分合作多目标主从均衡的概念,利用Fan-Glicksberg不动点定理,证明了部分合作多目标博弈均衡点的存在性.研究结果表明:部分合作博弈相比合作博弈和非合作博弈具有更重要的应用价值,不动点定理是研究部分合作多目标博弈均衡点存在性的一种有效手段.In order to deal with existence of equilibria for partial cooperative multi-objective game, this paper first introduce notions of partial cooperative Pareto-Nash equilibria and partial cooperative multi-objective leader and follower equilibria for partial cooperative game. Then the existence of equilibria for partial cooperative multi-objective games is given by using Fan-Glicksberg fixed point theorem. The results show that partial cooperative multi-objective game has more important application value than cooperative game and noncooperative game and that fixed point theorem is an effective way for proving existence of equilibria for partial cooperative multi-objective game.

关 键 词：合作博弈 非合作博弈 Pareto-Nash均衡点 多目标主从均衡点 存在性 不动点定理 

分 类 号：O177.91[理学—数学]