Competitive environments and protective behavior
type: Item
instance of: scholarly article
title: Competitive environments and protective behavior
zbMATH Open document ID: 1173.91014
author: Arantza Estévez-Fernández
author: M. G. Fiestras-Janeiro
author: Peter Borm
published in: Games and Economic Behavior
publication date: 2009-08-27T00:00:00Z
review text: Consider a bimatrix game \((A,B)\). This game is a competition game if the best reply structures of \((A,B)\) and \((-B, -A)\) are such that the Nash equilibria of the two coincide. For competition games, the set of Nash equilibria is convex, and all Nash equilibria pay the same, thus generalizing properties of zero-sum games. Rivalry games are a subset of competition games, which are included in almost strictly competitive games. Finally, protective strategy profiles of competition games correspond exactly to proper equilibria.
Mathematics Subject Classification ID: 91A05
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 5599116
zbMATH Keywords: competitive environments
zbMATH Keywords: unilaterally competitive games
zbMATH Keywords: rivalry games
zbMATH Keywords: competition games
zbMATH Keywords: protective strategies
MaRDI profile type: Publication
full work available at URL: j.geb.2008.10.011
OpenAlex ID: W2244184605
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DOI: 10.1016/J.GEB.2008.10.011
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description: scientific article; zbMATH DE number 5599116