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Stability and values for games with coalition structures

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  • Abe, Takaaki

Abstract

Casajus (2008) established a link between coalition formation in hedonic games and players’ preferences over coalition structures. He showed that if a value concept for games with coalition structures (a CS-value) satisfies the splitting property and the aggregate component independence property, then the CS-value induces a hedonic game satisfying the common ranking property and yields a nonempty core. The following question was left open: What CS-values induce a hedonic game that does not satisfy the common ranking property but has a nonempty core? In this paper, we offer a set of properties that induces a hedonic game satisfying the top-coalition property, which is less demanding than the common ranking property but generates a nonempty core.

Suggested Citation

  • Abe, Takaaki, 2021. "Stability and values for games with coalition structures," Economics Letters, Elsevier, vol. 200(C).
    • Handle: RePEc:eee:ecolet:v:200:y:2021:i:c:s0165176521000276
    DOI: 10.1016/j.econlet.2021.109750
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    References listed on IDEAS

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    1. Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
    2. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    3. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    4. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    5. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    7. Andreas Tutic, 2010. "The Aumann-Drèze Value, The Wiese Value, And Stability: A Note," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 189-195.
    8. Casajus, André, 2008. "On the stability of coalition structures," Economics Letters, Elsevier, vol. 100(2), pages 271-274, August.
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    Cited by:

    1. Abe, Takaaki, 2024. "Equal surplus sharing values for games with coalition structures," Economics Letters, Elsevier, vol. 240(C).
    2. Satoshi Nakada & Ryo Shirakawa, 2023. "On the unique core partition of coalition formation games: correction to İnal (2015)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 517-521, April.
    3. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.

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    More about this item

    Keywords

    Core; Coalition formation; Hedonic games; Stability;
    All these keywords.

    JEL classification:

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

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