Regular equilibrium points of bimatrix games
type: Item
instance of: scholarly article
title: Regular equilibrium points of bimatrix games
zbMATH Open document ID: 0631.90092
DOI: 10.1007/BF01732643
author: M. J. M. Jansen
published in: OR Spektrum
publication date: 1987-01-01T00:00:00Z
review text: The author introduces a new definition of a regular equilibrium point of a bimatrix game. The concept was introduced by \textit{J. C. Harsanyi} [Int. J. Game Theory 2, 235-250 (1973; Zbl 0274.90085)] and further developed by \textit{E. E. C. van Damme} [``Refinements of the Nash equilibrium concept'' (1983; Zbl 0523.90095)]. The new definition is related to a linear complementarity problem and is shown to be equivalent to the original one. Finally, the strong stability of regular equilibria is discussed.
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 4027217
zbMATH Keywords: regular equilibrium point
zbMATH Keywords: bimatrix game
zbMATH Keywords: linear complementarity
zbMATH Keywords: strong stability
reviewed by: Rastislav Telgársky
MaRDI profile type: Publication
cites work: Refinements of the Nash equilibrium concept
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cites work: Non-cooperative games
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full work available at URL: https://doi.org/10.1007/bf01732643
OpenAlex ID: W2045563038
description: scientific article; zbMATH DE number 4027217