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Do stable outcomes survive in marriage problems with myopic and farsighted players?

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  • Herings, P. Jean-Jacques
  • Mauleon, Ana
  • Vannetelbosch, Vincent

Abstract

We consider marriage problems where myopic and farsighted players interact and analyze these problems by means of the myopic-farsighted stable set. We require that coalition members are only willing to deviate if they all strictly benefit from doing so. Our first main result establishes the equivalence of myopic-farsighted stable sets based on arbitrary coalitional deviations and those based on pairwise deviations.

Suggested Citation

  • Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2025. "Do stable outcomes survive in marriage problems with myopic and farsighted players?," European Journal of Operational Research, Elsevier, vol. 322(2), pages 713-724.
    • Handle: RePEc:eee:ejores:v:322:y:2025:i:2:p:713-724
    DOI: 10.1016/j.ejor.2024.12.043
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    Keywords

    Marriage problems; Core; Stable sets; Myopic and farsighted players;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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