Nash Equilibria in Two-Resource Congestion Games with Player-Specific Payoff Functions
Fatima Khanchouche,
Samir Sbabou,
Hatem Smaoui,
Abderrahmane Ziad
Affiliations
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
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.
