Inequalities and Nash equilibria
type: Item
instance of: scholarly article
title: Inequalities and Nash equilibria
zbMATH Open document ID: 1198.91019
author: Shiow-Yu Chang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-09-10T00:00:00Z
review text: The existence of Nash equilibrium points for non-cooperative and generalized non-cooperative games is investigated. The K-K-M lemma is used to obtain a new Fan-type inequality and minimax theorems. Various new existence theorems are derived for the general case where strategy spaces need not have the fixed point property. Examples are given to demonstrate that these existence theorems cover areas where other existence theorems cannot be used.
reviewed by: Giacomo Bonanno
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A06
zbMATH DE Number: 5782219
zbMATH Keywords: 0-pair-concavity
zbMATH Keywords: generalized \(N\)-person game
zbMATH Keywords: Nash equilibrium
zbMATH Keywords: S-Nash equilibrium
MaRDI profile type: Publication
full work available at URL: j.na.2010.06.054
OpenAlex ID: W2056858433
cites work: Equilibrium points in n -person games
cites work: A Social Equilibrium Existence Theorem*
cites work: Q4166473
cites work: Note on noncooperative convex games
cites work: Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs
cites work: Q4296822
cites work: The existence of Nash equilibrium in \(n\)-person games with \(\mathcal C\)-concavity.
cites work: Existence of Nash equilibria with \(\mathcal C\)-convexity
cites work: Nash equilibrium and minimax theorem with \(\mathcal C\)-concavity
cites work: On the existence of pure-strategy Nash equilibrium
cites work: Characterization of the existence of a pure-strategy Nash equilibrium
cites work: Mathematical methods of game and economic theory
cites work: Q5753714
cites work: Maximal elements in noncompact spaces with application to equilibria
cites work: Noncompact qualitative games with application to equilibria
cites work: Equilibria of noncompact abstract economies in general almost convex strategy spaces
cites work: Q4057217
DOI: 10.1016/J.NA.2010.06.054
description: scientific article; zbMATH DE number 5782219