关于无限对策Nash平衡点集的本质连通区

周永辉;俞建;林志

系统科学与数学 ›› 2005, Vol. 25 ›› Issue (5) : 574-581.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2005, Vol. 25 ›› Issue (5) : 574-581. DOI: 10.12341/jssms10283
论文

关于无限对策Nash平衡点集的本质连通区

    周永辉(1),俞建(2),林志(3)
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ON THE ESSENTIAL COMPONENTS OF THE SET OF NASH EQUILIBRIUM POINTS FOR INFINITE GAMES

    Zhou Yonghui(1),Yu Jian(2),Lin Zhi(3)
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摘要

证明了任意纯策略集是紧度量空间和支付函数连续的n人无限非合作对策存在Nash平衡点集的本质连通区.

Abstract

We prove that for any infinite game with compact metric pure strategy spaces and continuous payoff functions, there exists at least one essential component of the set of Nash equilibrium points.

关键词

无限对策 / Nash平衡 / 本质连通区 / 最佳回应映

Key words

Infinite game / Nash equilibrium / essential component / best-reply correspondence / weak* topology.

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周永辉 , 俞建 , 林志. 关于无限对策Nash平衡点集的本质连通区. 系统科学与数学, 2005, 25(5): 574-581. https://doi.org/10.12341/jssms10283
Zhou Yonghui , Yu Jian , Lin Zhi. ON THE ESSENTIAL COMPONENTS OF THE SET OF NASH EQUILIBRIUM POINTS FOR INFINITE GAMES. Journal of Systems Science and Mathematical Sciences, 2005, 25(5): 574-581 https://doi.org/10.12341/jssms10283
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