| 多目标博弈平衡点存在性定理的推广 |
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| 引用本文： | 赵薇,蒋岚翔.多目标博弈平衡点存在性定理的推广[J].数学的实践与认识,2011,41(4). |
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| 作者姓名： | 赵薇 蒋岚翔 |
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| 作者单位： | 贵州大学,理学院,贵州,贵阳,550025 |
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| 摘 要： | 以向量值KyFan不等式的推广为基础,讨论支付函数为向量形式的n人非合作多目标博弈弱Pareto-Nash平衡点存在性条件,将多目标博弈平衡点存在性定理中策略空间的紧性,支付函数的凸性等条件减弱.
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| 关 键 词： | 多目标博弈 平衡点 存在性 向量值Ky Fan不等式 |
Generalization of the Existence Theorem of Equilibrium Points for Multiobjective Games |
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| ZHAO Wei,JIANG Lan-xiang.Generalization of the Existence Theorem of Equilibrium Points for Multiobjective Games[J].Mathematics in Practice and Theory,2011,41(4). |
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| Authors: | ZHAO Wei JIANG Lan-xiang |
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| Institution: | ZHAO Wei,JIANG Lan- xiang (College of Science,Guizhou University,Guizhou Guiyang 550025) |
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| Abstract: | Based on the extension of the vector-valued Ky Fan inequality,the paper discussed some existence conditions of weakly Pareto-Nash equilibrium points for n-person noncooperative multiobjective games with vector-valued payoff function,then the existence conditions of equilibrium points for multiobjective games are weakened by relaxing the compactness of strategy space,the convexity of vector-valued payoff function. |
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| Keywords: | multiobjective games equilibrium points existence vector-valued Ky Fan inequality |
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