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On The Strong Hybrid Solution Of An N-Person Game

Author

Listed:
  • Bertrand Crettez

    (CRED - Centre de Recherche en Economie et Droit - Université Paris-Panthéon-Assas)

  • Rabia Nessah

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

  • 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 - Université Paris-Saclay - CNRS - Centre National de la Recherche Scientifique)

Abstract

We propose a new notion of coalitional equilibrium, the strong hybrid solution, which is a refinement of Zhao's hybrid solution. It is well suited to study situations where people cooperate within coalitions but where coalitions compete with one another. In the strong hybrid solution, as opposed to the hybrid solution, the strategy profile assigned to each coalition is strongly Pareto optimal. We show that there exists a strong hybrid solution whenever preferences are partially quasi-transferable.

Suggested Citation

  • Bertrand Crettez & Rabia Nessah & Tarik Tazdaït, 2022. "On The Strong Hybrid Solution Of An N-Person Game," Post-Print hal-03875293, HAL.
    • Handle: RePEc:hal:journl:hal-03875293
    DOI: 10.1016/j.mathsocsci.2021.07.006
    Note: View the original document on HAL open archive server: https://hal.science/hal-03875293
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    References listed on IDEAS

    as
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    10. Lan Di & George X. Yuan & Tu Zeng, 2021. "The consensus equilibria of mining gap games related to the stability of Blockchain Ecosystems," The European Journal of Finance, Taylor & Francis Journals, vol. 27(4-5), pages 419-440, March.
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    Cited by:

    1. Wang, Lei & Zhao, Jingang, 2024. "The core in an N-firm dynamic Cournot oligopoly," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 20-26.

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