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Jeux de congestion finis à choix unique : Théorie, Equilibres, Applications -Calculs et Complexités-

Author

Listed:
  • Samir Sbabou

    (University of Caen Basse-Normandie - CREM UMR CNRS 6211, France)

  • Hatem Smaoui

    (CEMOI, Université de la Réunion)

  • Abderrahmane Ziad

    (University of Caen Basse-Normandie - CREM UMR CNRS 6211, France)

Abstract

La première partie propose une revue de littérature sur les jeux de congestions et les jeux de potentiel exact. La deuxième partie traite les jeux de congestion à choix unique dans le cas symétrique et propose une formule simple et pratique permettant de trouver l'ensemble de tous les équilibres de Nash. La troisième partie analyse la famille des jeux de congestion à choix unique non symétriques. Ici l'effet de congestion n'est pas le même sur l'ensemble des joueurs. Lorsqu'il existe seulement deux ressources ou lorsque la partition est exacte (), une preuve constructive est présentée et permet de calculer plus facilement (au moins) un équilibre de Nash, sans faire appel ni aux fonctions de potentiel (Rosenthal, 1973), ni aux mécanismes d'amélioration (Milchtaich, 1996). Enfn, nous examinons la possibilité d'exploiter nos résultats dans certaines applications des jeux de congestion telles que les jeux de congestion réseau et les jeux d'allocation de tâches.

Suggested Citation

  • Samir Sbabou & Hatem Smaoui & Abderrahmane Ziad, 2013. "Jeux de congestion finis à choix unique : Théorie, Equilibres, Applications -Calculs et Complexités-," Economics Working Paper Archive (University of Rennes & University of Caen) 201303, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    • Handle: RePEc:tut:cremwp:201303
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Jeux de congestion; Jeux de potentiel; Fonction de potentiel; Équilibre de Nash; Symétrique; Non symétrique; Choix unique; Réseau; Allocation de tâches; Voie d'amélioration; FIP;
    All these keywords.

    JEL classification:

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

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