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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 被引量:10

ON THE EXISTENCE AND ESSENTIAL COMPONENTS OF THE SET OF WEAKLY PARETO-NASH EQUILIBRIUM FOR GENERALIZED MULTICRITERIA GAMES UNDER GENERALIZED UNCERTAINTY
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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. 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.
作者 杨哲 蒲勇健
出处 《系统科学与数学》 CSCD 北大核心 2011年第12期1613-1621,共9页 Journal of Systems Science and Mathematical Sciences
基金 重庆大学研究生科技创新基金(200911B0A0050321)资助
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 Weakly Pareto-Nash equilibrium generalized multicriteria games existence essential components generalized uncertainty Fan-Glicksberg fixed point theorem
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