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On the strong hybrid solution of an n-person game

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  • Crettez, Bertrand
  • Nessah, Rabia
  • Tazdaït, Tarik

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

  • Crettez, Bertrand & Nessah, Rabia & Tazdaït, Tarik, 2022. "On the strong hybrid solution of an n-person game," Mathematical Social Sciences, Elsevier, vol. 117(C), pages 61-68.
    • Handle: RePEc:eee:matsoc:v:117:y:2022:i:c:p:61-68
    DOI: 10.1016/j.mathsocsci.2021.07.006
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    References listed on IDEAS

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    8. Nessah, Rabia & Tazdaı¨t, Tarik, 2013. "Absolute optimal solution for a compact and convex game," European Journal of Operational Research, Elsevier, vol. 224(2), pages 353-361.
    9. 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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