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Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game

Author

Listed:
  • 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 - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

  • Moussa Larbani
  • Rabia Nessah

    (LEM - Lille - Economie et Management - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

Abstract

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.

Suggested Citation

  • Tarik Tazdaït & Moussa Larbani & Rabia Nessah, 2007. "Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game," CIRED Working Papers halshs-00271464, HAL.
  • Handle: RePEc:hal:ciredw:halshs-00271464
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00271464
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    File URL: https://halshs.archives-ouvertes.fr/halshs-00271464/document
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    References listed on IDEAS

    as
    1. Michel Le Breton & Hideo Konishi & Shlomo Weber, 1996. "Equivalence of strong and coalition-proof Nash equilibria in games without spillovers (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 97-113.
    2. Tarik Tazdaït & Moussa Larbani & Rabia Nessah, 2007. "On Berge Equilibrium," CIRED Working Papers halshs-00271452, HAL.
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