广义不确定下广义多目标博弈弱Pareto-Nash均衡点集的存在性与本质连通区

杨哲,蒲勇健

系统科学与数学 ›› 2011, Vol. 31 ›› Issue (12) : 1613-1621.

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系统科学与数学 ›› 2011, Vol. 31 ›› Issue (12) : 1613-1621. DOI: 10.12341/jssms11784
论文

广义不确定下广义多目标博弈弱Pareto-Nash均衡点集的存在性与本质连通区

    杨哲1,蒲勇健2
作者信息 +

ON THE EXISTENCE AND ESSENTIAL COMPONENTS OF THE SET OF WEAKLY PARETO-NASH EQUILIBRIUM FOR GENERALIZED MULTICRITERIA GAMES UNDER GENERALIZED UNCERTAINTY

    YANG Zhe1,PU Yongjian2
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摘要

引入具有不确定参数的n人广义多目标博弈,这里局中人了解不确定性参数的变化区域,而且个人的参数变化与其他局中人的行为密切相关.我们定义广义不确定下广义多目标博弈的弱Pareto-Nash均衡.进一步我们证明广义不确定下广义多目标博弈的弱Pare-Nash均衡点集的存在性与本质连通区的存在性.

Abstract

This paper is delt with an n-person generalized multicriteria games involving undetermined parameters when the players know the domain where these parameters can vary with respect to behaviour of other player. It is called weakly Pareto-Nash equilibrium for generalized multicriteria games under generalized uncertainty. We give the existence and essential components of the set of weakly Pareto-Nash equilibrium for generalized multicriteria games
under generalized uncertainty.

关键词

弱Pareto-Nash均衡 / 广义多目标博弈 / 存在性 / 本质连通区 / 广义不确定 / Fan-Glicksberg不动点定理.

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杨哲,蒲勇健. 广义不确定下广义多目标博弈弱Pareto-Nash均衡点集的存在性与本质连通区. 系统科学与数学, 2011, 31(12): 1613-1621. https://doi.org/10.12341/jssms11784
YANG Zhe,PU Yongjian. ON THE EXISTENCE AND ESSENTIAL COMPONENTS OF THE SET OF WEAKLY PARETO-NASH EQUILIBRIUM FOR GENERALIZED MULTICRITERIA GAMES UNDER GENERALIZED UNCERTAINTY. Journal of Systems Science and Mathematical Sciences, 2011, 31(12): 1613-1621 https://doi.org/10.12341/jssms11784
中图分类号: 91A10    91A40    91A44   
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