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Top responsiveness and stable partitions in coalition formation games

Author

Listed:
  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

  • Sung, Shao Chin

    (Center for Mathematical Economics, Bielefeld University)

Abstract

Top responsiveness is introduced by Alcalde and Revilla [Journal of Mathematical Economics 40 (2004) 869-887] as a property which induces a rich domain on players's preferences in hedonic games, and guarantees the existence of core stable partitions. We strengthen this observation by proving the existence of strict core stable partitions, and when a mutuality condition is imposed as well, the existence of Nash stable partitions.

Suggested Citation

  • Dimitrov, Dinko & Sung, Shao Chin, 2011. "Top responsiveness and stable partitions in coalition formation games," Center for Mathematical Economics Working Papers 365, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:365
    as

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    File URL: https://pub.uni-bielefeld.de/download/2315430/2319789
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    References listed on IDEAS

    as
    1. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
    2. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
    3. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    4. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    5. 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.
    Full references (including those not matched with items on IDEAS)

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