Nash Equilibria in Two-Resource Congestion Games with Player-Specific Payoff Functions

Fatima Khanchouche (), Samir Sbabou, Hatem Smaoui and Abderrahmane Ziad
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Fatima Khanchouche: Fundamental and Numerical Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, Ferhat Abbas University of Setif 1, Setif 19137, Algeria
Samir Sbabou: Center of Research in Economics and Management, University of Caen, Esplanade de la Paix, 14000 Caen, France
Hatem Smaoui: Center of Economics and Management of the Indian Ocean, University of Réunion, 15 Avenue René Cassin, BP 7115, 97715 Saint Denis, Cedex 9, France
Abderrahmane Ziad: CREM—Centre de Recherche en Économie et Management, UNICAEN—Université de Caen Normandie, NU—Normandie Université, 14000 Caen, France

Games, 2024, vol. 15, issue 2, 1-10

Abstract: In this paper, we examine the class of congestion games with player-specific payoff functions introduced by Milchtaich, I. (1996). Focusing on the special case of two resources, we give a short and simple method for identifying all Nash equilibria in pure strategies. We also provide a computation algorithm based on our theoretical analysis.

Keywords: game theory; Nash equilibria; congestion games; price of anarchy (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2024
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