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Nonsymmetric singleton congestion games: case of two resources

Author

Listed:
  • 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

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.

Suggested Citation

  • Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, CEMOI, 2011. "Nonsymmetric singleton congestion games: case of two resources," Economics Working Paper Archive (University of Rennes & University of Caen) 201113, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    • Handle: RePEc:tut:cremwp:201113
    as

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    References listed on IDEAS

    as
    1. Mark Voorneveld & Peter Borm & Freek Van Megen & Stef Tijs & Giovanni Facchini, 1999. "Congestion Games And Potentials Reconsidered," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 283-299.
    2. repec:fth:tilbur:9998 is not listed on IDEAS
    3. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    4. Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
    5. 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.
    6. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Singleton congestion games; Nash equilibria; Potential function; Finite improvement property;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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    This paper has been announced in the following NEP Reports:

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