一类新广义博弈的均衡存在性

王能发,杨哲

系统科学与数学 ›› 2018, Vol. 38 ›› Issue (5) : 613-622.

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PDF(372 KB)
系统科学与数学 ›› 2018, Vol. 38 ›› Issue (5) : 613-622. DOI: 10.12341/jssms13405
论文

一类新广义博弈的均衡存在性

    王能发1,杨哲2
作者信息 +

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

    WANG Nengfa1, YANG Zhe2
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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.

Abstract

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.

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王能发 , 杨哲. 一类新广义博弈的均衡存在性. 系统科学与数学, 2018, 38(5): 613-622. https://doi.org/10.12341/jssms13405
WANG Nengfa , YANG Zhe. On the Existence of Equilibria for a New Class of Generalized Games. Journal of Systems Science and Mathematical Sciences, 2018, 38(5): 613-622 https://doi.org/10.12341/jssms13405
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