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| 关于无限对策Nash平衡点集的本质连通区 | |
| 引用本文： | 周永辉,俞建,林志.关于无限对策Nash平衡点集的本质连通区[J].系统科学与数学,2005,25(5):574-581. |
| 作者姓名： | 周永辉 俞建 林志 |
| 作者单位： | 1. 贵州大学数学系,贵阳,550025;浙江大学数学系,杭州,310027 2. 贵州大学数学系,贵阳,550025 3. 浙江大学数学系,杭州,310027;贵州财经学院信息分院,贵阳,550003 |
| 基金项目： | 国家自然科学基金(10061002) 贵州省自然科学基金资助课题． |
| 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． |
| 关 键 词： | 无限对策 Nash平衡 本质连通区 最佳回应映射 弱*拓扑． |
| 修稿时间： | 2003年5月29日 |
ON THE ESSENTIAL COMPONENTS OF THE SET OF NASH EQUILIBRIUM POINTS FOR INFINITE GAMES |
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| Zhou Yonghui,Yu Jian,Lin Zhi.ON THE ESSENTIAL COMPONENTS OF THE SET OF NASH EQUILIBRIUM POINTS FOR INFINITE GAMES[J].Journal of Systems Science and Mathematical Sciences,2005,25(5):574-581. | |
| Authors: | Zhou Yonghui Yu Jian Lin Zhi |
| Institution: | (1)Department of Mathematics, Guizhou University,Guiyang 550025; Department of Mathematics, Zhejiang University,Hangzhou 310027;(2)Department of Mathematics, Guizhou University,Guiyang 550025;(3)Department of Mathematics, Zhejiang University,Hangzhou 310027; Department of Infor |
| 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. |
| Keywords: | Infinite game Nash equilibrium essential component best-reply correspon- dence weak topology |
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