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Nash equilibria in nonsymmetric singleton congestion games with exact partition

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  • Abderrahmane ZIAD

    (University of Caen Basse-Normandie, CREM (UMR CNRS))

  • Samir SBABOU

    (University of Caen Basse-Normandie, CREM (UMR CNRS))

  • Hatem SMAOUI

    (CEMOI, Université de la Réunion)

Abstract

We define a new class of games, which we qualify as congestion games with exact partition. These games constitute a subfamily of singleton congestion games for which the players are restricted to choose only one strategy, but they each possess their own utility function. The aim of this paper is to develop a method leading to an easier identification of all Nash equilibria in this kind of congestion games. We also give a new proof establishing the existence of a Nash equilibrium in this type of games without invoking the potential function or the finite best-reply property.

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Bibliographic Info

Paper provided by Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS in its series Economics Working Paper Archive (University of Rennes 1 & University of Caen) with number 201115.

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Date of creation: Sep 2011
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Handle: RePEc:tut:cremwp:201115

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Related research

Keywords: Singleton congestion games; Nash equilibria; Potential function; Finite best-reply property.;

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  1. repec:fth:tilbur:9998 is not listed on IDEAS
  2. Le Breton, M. & Weber, S., 1995. "Strong Equilibrium in a Model with Partial Rivalry," G.R.E.Q.A.M. 95a07, Universite Aix-Marseille III.
  3. Voorneveld, M. & Borm, P.E.M. & Megen, F.J.C. van & Tijs, S.H. & Facchini, G., 1999. "Congestion games and potentials reconsidered," Open Access publications from Tilburg University urn:nbn:nl:ui:12-169686, Tilburg University.
  4. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  5. Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
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