具有加性耦合效用和连续统参与人博弈中的强Nash均衡

doi:10.15960/j.cnki.issn.1007-6093.2024.03.010

Abstract

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

CLC Number:

O225

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.

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

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