| Nash平衡点指数与拟本质性 |
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| 引用本文： | 何基好,向淑文.Nash平衡点指数与拟本质性[J].贵州大学学报(自然科学版),2009,26(3):1-3. |
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| 作者姓名： | 何基好 向淑文 |
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| 作者单位： | 贵州大学理学院数学系,贵州,贵阳,550025 |
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| 摘 要： | 在集值映射在闭集上的不动点指数概念的基础上给出n-人非合作一般对策的Nash平衡点指数的概念。然后，从Nash平衡点指数出发，研究Nash平衡点的拟本质性并给出了Nash平衡点集的拟本质集和拟本质连通区的若干充分条件。
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| 关 键 词： | 集值映射 不动点指数 Nash平衡点指数 拟本质集 拟本质连通区 |
Nash Equilibrium Point Index and Quasi-essential Properties |
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| HE Ji-hao,XIANG Shu-wen.Nash Equilibrium Point Index and Quasi-essential Properties[J].Journal of Guizhou University(Natural Science),2009,26(3):1-3. |
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| Authors: | HE Ji-hao XIANG Shu-wen |
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| Affiliation: | Department of Mathematics;College of Science;Guizhou University;Guiyang 550025;China |
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| Abstract: | The notion of Nash equilibrium point index of infinite n-person non-cooperative games was given on the basis of the concept of the fixed point index of set-valued mappings on closed set.Then,on basis of this definition,quasi-essential properties of Nash equilibrium point were studied and some sufficient conditions about quasi-essential sets and quasi-essential components of the set of Nash equilibrium were given. |
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| Keywords: | set-valued mapping the fixed point index Nash equilibrium point index the quasi essential set the quasi-essential component |
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