Characterization of optimal strategies in matrix games with convexity properties
type: Item
instance of: scholarly article
title: Characterization of optimal strategies in matrix games with convexity properties
zbMATH Open document ID: 1053.91005
author: Tadeusz Radzik
published in: International Journal of Game Theory
publication date: 2004-03-07T00:00:00Z
review text: Let \(G\) be an \(n\)-player matrix game in normal form. The paper gives a new proof for the existence of pure strategy equilibrium of \(G\), using the notions of row-quasiconvexity and column-quasi-concavity. The paper also gives a characterization of mixed strategy equilibrium of \(G\). The latter result is a follow up to \textit{L. Shapley} [Ann. Math. Stud. 52, 1--28 (1964; Zbl 0126.16204) and ibid. 52, 267--305 (1964; Zbl 0126.16303)].
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 2051492
zbMATH Keywords: matrix game
zbMATH Keywords: equilibrium
zbMATH Keywords: row-quasi-convex
zbMATH Keywords: column-quasi-concave
MaRDI profile type: Publication
full work available at URL: s001820000035
OpenAlex ID: W2053579996
DOI: 10.1007/S001820000035
description: scientific article; zbMATH DE number 2051492