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Top responsiveness and stable partitions in coalition formation games

  • Shao Chin Sung

    ()

    (Department of Industrial and Systems Engineering, Aoyama Gakuin University)

  • Dinko Dimitrov

    ()

    (Institute of Mathematical Economics, Bielefeld University)

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 playerss 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.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-365.pdf
File Function: First version, 2005
Download Restriction: no

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 365.

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Length: 12 pages
Date of creation: Mar 2005
Date of revision:
Handle: RePEc:bie:wpaper:365
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
Phone: +49(0)521-106-4907
Web page: http://www.imw.uni-bielefeld.de/

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  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. Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999. "Core in a Simple Coalition Formation Game," Boston College Working Papers in Economics 449, Boston College Department of Economics.
  3. Dreze, J.H. & Greenberg, J., . "Hedonic coalitions: optimality and stability," CORE Discussion Papers RP -403, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  5. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
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