Nonsymmetric singleton congestion games: case of two resources

Abderrahmane Ziad, Samir Sbabou and Cemoi Hatem SMAOUI
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Samir Sbabou: University of Caen Basse-Normandie, CREM (UMR CNRS)
Cemoi Hatem SMAOUI: Université de la Réunion

Economics Working Paper Archive (University of Rennes & University of Caen) from Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS

Abstract: In this note we study the existence of Nash equilibria in nonsymmetric finite congestion games, complementing the results obtained by Milchtaich on monotone-decreasing congestion games. More specifically, we examine the case of two resources and we propose a simple method describing all Nash equilibria in this kind of congestion games. Additionally, we give a new and short proof establishing the existence of a Nash equilibrium in this type of games without invoking the potential function or the finite improvement property.

Keywords: Singleton congestion games; Nash equilibria; Potential function; Finite improvement property (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2011-09
New Economics Papers: this item is included in nep-gth
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