运筹学学报2024,Vol.28Issue(3) :143-152.DOI:10.15960/j.cnki.issn.1007-6093.2024.03.010

具有加性耦合效用和连续统参与人博弈中的强Nash均衡

Strong Nash equilibria of games with additively coupled utilities and a continuum of players

杨哲
运筹学学报2024,Vol.28Issue(3) :143-152.DOI:10.15960/j.cnki.issn.1007-6093.2024.03.010

具有加性耦合效用和连续统参与人博弈中的强Nash均衡

Strong Nash equilibria of games with additively coupled utilities and a continuum of players

杨哲1
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作者信息

  • 1. 上海财经大学经济学院,上海 200433
  • 折叠

摘要

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.

Abstract

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.

关键词

强Nash均衡/加性耦合效用/连续统参与人/存在性

Key words

strong Nash equilibrium/additively coupled utilities/a continuum of players/existence

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基金项目

国家自然科学基金(72371146)

出版年

2024
运筹学学报
中国运筹学会

运筹学学报

CSTPCDCSCD北大核心
影响因子:0.25
ISSN:1007-6093
参考文献量40
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