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Stable Decompositions of Coalition Formation Games

Author

Listed:
  • Agustín G. Bonifacio

    (Universidad Nacional de San Luis/CONICET)

  • Elena Inarra

    (University of the Basque Country)

  • Pablo Neme

    (Universidad Nacional de San Luis/CONICET)

Abstract

It is known that a coalition formation game may not have a stable coalition structure. In this study we propose a new solution concept for these games, which we call “stable decomposition”, and show that each game has at least one. This solution consists of a collection of coalitions organized in sets that “protect” each other in a stable way. When sets of this collection are singletons, the stable decomposition can be identified with a stable coalition structure. As an application, we study convergence to stability in coalition formation games.

Suggested Citation

  • Agustín G. Bonifacio & Elena Inarra & Pablo Neme, 2022. "Stable Decompositions of Coalition Formation Games," Working Papers 110, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:110
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    File URL: https://rednie.eco.unc.edu.ar/files/DT/110.pdf
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    References listed on IDEAS

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    1. Alcalde-Unzu, Jorge & Gallo, Oihane & Inarra, Elena & Moreno-Ternero, Juan D., 2024. "Solidarity to achieve stability," European Journal of Operational Research, Elsevier, vol. 315(1), pages 368-377.

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    More about this item

    Keywords

    Coalition formation; matching; absorbing sets; stable decompositions.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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