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具有加性耦合效用和连续统参与人博弈中的强Nash均衡

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本文将研究具有加性耦合效用和连续统参与人博弈中的强Nash均衡.我们首先证明具有加性耦合效用和有限参与人博弈中强Nash均衡的存在性.进一步,对具有加性耦合效用和连续统参与人的博弈,我们引入弱强Nash均衡的概念,并证明它的存在性定理.本文发展了强Nash均衡的研究.
Strong Nash equilibria of games with additively coupled utilities and a continuum of players
In this paper,we study the strong Nash equilibria of games with ad-ditively coupled utilities and a continuum of players.We first prove the existence of strong Nash equilibria for games with additively coupled utilities and finitely many play-ers.Furthermore,we introduce the notion of weak strong Nash equilibria for games with additively coupled utilities and a continuum of players,and prove the existence theorem.Our paper develops the work of strong Nash equilibria.

strong Nash equilibriumadditively coupled utilitiesa continuum of playersexistence

杨哲

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上海财经大学经济学院,上海 200433

强Nash均衡 加性耦合效用 连续统参与人 存在性

国家自然科学基金

72371146

2024

运筹学学报
中国运筹学会

运筹学学报

CSTPCD北大核心
影响因子:0.25
ISSN:1007-6093
年,卷(期):2024.28(3)