A unified approach to the Nash equilibrium existence in large games from finitely many players to infinitely many players
type: Item
instance of: scholarly article
title: A unified approach to the Nash equilibrium existence in large games from finitely many players to infinitely many players
zbMATH Open document ID: 1483.91011
author: Yanyan Li
published in: Journal of Fixed Point Theory and Applications
publication date: 2022-02-02T00:00:00Z
review text: The authors proposed a unified approach to the Nash equilibrium existence in games with infinitely players. They derived the unified approach coming from the case of finitely many players and reproving Nash equilibrium existence theorems. They derived the corresponding theorems for games in normal, qualitative, generalized, forms
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A07
zbMATH DE Number: 7468367
zbMATH Keywords: large game
zbMATH Keywords: Nash equilibrium
zbMATH Keywords: existence
zbMATH Keywords: unified approach
reviewed by: Carlos Narciso Bouza Herrera
MaRDI profile type: Publication
full work available at URL: s11784-021-00927-4
OpenAlex ID: W4205681990
cites work: The weak-core of a game in normal form with a continuum of players
cites work: On the core of normal form games with a continuum of players
cites work: Markets with a Continuum of Traders
cites work: Existence of Competitive Equilibria in Markets with a Continuum of Traders
cites work: A unifying approach to existence of Nash equilibria
cites work: The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
cites work: Q3674431
cites work: On the existence of pure strategy equilibria in games with a continuum of players
cites work: Non-cooperative games
cites work: Existence of Nash equilibria in large games
cites work: A direct proof of the existence of pure strategy equilibria in games with a continuum of players
cites work: On the existence of Nash equilibria in large games
cites work: Equilibrium points of nonatomic games
cites work: Equilibrium in abstract economies without ordered preferences
cites work: Q5757486
cites work: Some results on the weak core of a non-side-payment game with infinitely many players
cites work: Some infinite-player generalizations of Scarf's theorem: finite-coalition \(\alpha\)-cores and weak \(\alpha\)-cores
cites work: Some generalizations of Kajii's theorem to games with infinitely many players
cites work: The weak \(\alpha\)-core of exchange economies with a continuum of players and pseudo-utilities
cites work: Some generalizations of Zhao's theorem: hybrid solutions and weak hybrid solutions for games with nonordered preferences
cites work: A weak \(\alpha \)-core existence theorem of games with nonordered preferences and a continuum of agents
cites work: Existence of maximal elements and equilibria in linear topological spaces
cites work: Essential equilibria of \(n\)-person noncooperative games
cites work: The study of equilibria for abstract economics in topological vector spaces – a unified approach
DOI: 10.1007/S11784-021-00927-4
description: scientific article; zbMATH DE number 7468367