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Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game

  • Tarik Tazdaït


    (CIRED - Centre International de Recherche sur l'Environnement et le Développement - CIRAD - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - EHESS - École des hautes études en sciences sociales - AgroParisTech - École des Ponts ParisTech (ENPC) - CNRS - Centre National de la Recherche Scientifique)

  • Moussa Larbani
  • Rabia Nessah

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - Fédération Universitaire et Polytechnique de Lille - Université de Lille, Sciences Humaines et Sociales - CNRS - Centre National de la Recherche Scientifique)

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    In this paper, we study the main properties of the strong Berge equilibrium which is also a Pareto efficient (SBPE) and the strong Nash equilibrium (SNE). We prove that any SBPE is also a SNE, we prove also existence theorem of SBPE based on the KyFan inequality. Finally, we also provide a method for computing SPBE.

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    Paper provided by HAL in its series Working Papers with number halshs-00271464.

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    Date of creation: 05 Dec 2007
    Date of revision:
    Handle: RePEc:hal:wpaper:halshs-00271464
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