一类新广义博弈的均衡存在性  

On the Existence of Equilibria for a New Class of Generalized Games

作　　者：王能发[1] 杨哲[2] WANG Nengfa;YANG Zhe(School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025;School of Economics, Shanghai University of Finance and Economics, Shanghai 200433)

机构地区：[1]贵州财经大学数学与统计学院,贵阳550025 [2]上海财经大学经济学院,上海200433

出　　处：《系统科学与数学》2018年第5期613-622,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11501349,61472093);贵州省教育厅自然科学研究项目(黔教合KY字[2015]421);2018年度贵州财经大学引进人才科研项目

摘　　要：假定博弈参与人策略选择影响着博弈参与人的情绪，从而影响到参与人的支付函数．在这样的假定下，引入一类新的广义博弈问题，并且给出相应均衡的定义．进一步，在一定条件下，证明了这些均衡的存在性，并给出这些均衡之间的关系．最后给出一个简单算例，验证了其可行性．In this paper, we assume that the strategy choice of players affects the emotion of the players, thus affecting the payoff function. Under the assumption, we introduce a new class of generalized game problems, and present the definition of the corresponding equilibria. Further, under certain conditions, we prove the existence theorem of equilibria, and give the relationship among these equilibria. Finally, a simple numerical example is given to demonstrate the feasibility.

关 键 词：广义博弈 NASH均衡 存在性 

分 类 号：O225[理学—运筹学与控制论]