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Operations Research Transactions >

2024 , Vol. 28 >Issue 3: 143 - 152

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2024.03.010

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

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  • 1. School of Economics, Shanghai University of Finance and Economics, Shanghai 200433, China

Received date: 2024-03-25

  Online published: 2024-09-07

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, 2024, All rights reserved, without authorization
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Abstract

In this paper, we study the strong Nash equilibria of games with additively 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 players. 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.

Key words： strong Nash equilibrium; additively coupled utilities; a continuum of players; existence

Cite this article

Zhe YANG . Strong Nash equilibria of games with additively coupled utilities and a continuum of players[J]. Operations Research Transactions, 2024 , 28(3) : 143 -152 . DOI: 10.15960/j.cnki.issn.1007-6093.2024.03.010

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