| 向量对策理想-Nash平衡点的存在性 |
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| 引用本文： | 阎爱玲,向淑文.向量对策理想-Nash平衡点的存在性[J].应用数学学报,2007,30(2):256-262. |
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| 作者姓名： | 阎爱玲 向淑文 |
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| 作者单位： | 1. 北京交通大学数学系,北京,100044;贵州大学理学院数学系,贵阳,550025
2. 贵州大学理学院,贵阳,550025 |
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| 摘 要： | 本文采用向量优化问题中理想解的概念,定义向量对策理想-Nash平衡点,并证明这一平衡点的存在性．这一结果一方面体现了向量对策Pareto-Nash平衡点和弱Pareto-Nash平衡点的存在性,同时,还给出了特殊的Pareto-Nash平衡点的存在性．
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| 关 键 词： | 理想解 向量对策 理想-Nash平衡点 Pareto-Nash平衡点 |
| 修稿时间： | 2005-09-262006-09-10 |
The Existence of Ideal-Nash Equilibrium Point in Vector Game |
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| YAN AILING,XIANG SHUWEN.The Existence of Ideal-Nash Equilibrium Point in Vector Game[J].Acta Mathematicae Applicatae Sinica,2007,30(2):256-262. |
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| Authors: | YAN AILING XIANG SHUWEN |
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| Institution: | 1Department of Mathematics, Beijing Jiaotong University, Beijing 100044;2School of Science, Guizhou University, Guiyang 550025;3School of Science, Guizhou University, Guiyang 550025 |
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| Abstract: | In this paper,we first define ideal-Nash equilibrium point in vector game, according to the definition of ideal solution in vector optimization.Then we consider the existence of the ideal-Nash equilibrium point in vector game.This conclusion proposes the existence of the Pareto-Nash equilibrium point,weakly Pareto-Nash equilibrium point in vector game.In the meanwhile,it proposes the existence of the special Pareto-Nash equilibrium point. |
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| Keywords: | ideal solution vector game ideal-Nash equilibrium point Pareto-Nash equilibrium point |
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