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A formula for Nash equilibria in monotone singleton congestion games

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

This paper provides a simple formula describing all Nash equilibria in symmetric monotone singleton congestion games. Our approach also yields a new and short proof establishing the existence of a Nash equilibrium in this kind of congestion games without invoking the potential function or the nite improvement property.

Suggested Citation

  • Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, CEMOI, 2011. "A formula for Nash equilibria in monotone singleton congestion games," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201114, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  • Handle: RePEc:tut:cremwp:201114
    as

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    File URL: https://crem-doc.univ-rennes1.fr/wp/2011/201114.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. repec:wsi:igtrxx:v:01:y:1999:i:03n04:n:s0219198999000219 is not listed on IDEAS
    3. 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.
    4. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
    5. repec:fth:tilbur:9998 is not listed on IDEAS
    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.
    7. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Singleton congestion games; Nash equilibria; Potential function; Finite improvement property;

    JEL classification:

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

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