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Robust equilibria in tournaments

Author

Listed:
  • Han, Lining
  • Juarez, Ruben
  • Vargas, Miguel

Abstract

We study robust equilibria in tournaments, where agents endowed with power form coalitions, and the coalition formed with the highest power prevails. We introduce the No-Threat Equilibrium (NTE), a stable partition where if a coalition deviates, then a new coalition could counter by forming an even stronger coalition. The NTE exists for any power function and preferences if and only if the set of feasible coalitions is a ‘Helly’ family.

Suggested Citation

  • Han, Lining & Juarez, Ruben & Vargas, Miguel, 2023. "Robust equilibria in tournaments," Games and Economic Behavior, Elsevier, vol. 142(C), pages 423-439.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:423-439
    DOI: 10.1016/j.geb.2023.08.012
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    More about this item

    Keywords

    Coalition formation; Robust equilibria; Tournament; Externalities;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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