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Stability in coalition formation games

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Author Info

  • Antonio Romero-Medina

    ()
    (Departamento de Economia, Universidad Carlos III, 28903 Getafe, Spain)

  • Katari´na Cechlárová

    ()
    (Department of Geometry and Algebra, P. J. Safárik University, Jesenná 5, 041 54 Kosice, Slovakia)

Abstract

In the context of coalition formation games a player evaluates a partition on the basis of the set she belongs to. For this evaluation to be possible, players are supposed to have preferences over sets to which they could belong. In this paper, we suggest two extensions of preferences over individuals to preferences over sets. For the first one, derived from the most preferred member of a set, it is shown that a strict core partition always exists if the original preferences are strict and a simple algorithm for the computation of one strict core partition is derived. This algorithm turns out to be strategy proof. The second extension, based on the least preferred member of a set, produces solutions very similar to those for the stable roommates problem.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 29 (2001)
Issue (Month): 4 ()
Pages: 487-494

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Handle: RePEc:spr:jogath:v:29:y:2001:i:4:p:487-494

Note: Received August 1998/Final version June 20, 2000
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Related research

Keywords: Coalition formation games · core · stable roommates problem · digraphs · algorithms.;

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Cited by:
  1. Dinko Dimitrov & Peter Borm, 2004. "Simple Priorities and Core Stability in Hedonic Games," Econometric Society 2004 North American Summer Meetings 135, Econometric Society.
  2. Shao Sung & Dinko Dimitrov, 2007. "On Myopic Stability Concepts for Hedonic Games," Theory and Decision, Springer, vol. 62(1), pages 31-45, February.
  3. Papai, Szilvia, 2004. "Unique stability in simple coalition formation games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 337-354, August.
  4. Koji Takamiya, 2013. "Coalitional unanimity versus strategy-proofness in coalition formation problems," International Journal of Game Theory, Springer, vol. 42(1), pages 115-130, February.
  5. Carmelo Rodriguez-Alvarez, 2005. "Strategy-Proof Coalition Formation," Economics Working Papers we055525, Universidad Carlos III, Departamento de Economía.
  6. Steven Brams & Michael Jones & D. Kilgour, 2005. "Forming stable coalitions: The process matters," Public Choice, Springer, vol. 125(1), pages 67-94, July.
  7. Carmelo Rodriguez-Alvarez, 2004. "On the Impossibility of Strategy-Proof Coalition Formation Rules," Economics Bulletin, AccessEcon, vol. 4(10), pages 1-8.
  8. Dinko Dimitrov & Shao Chin Sung, 2006. "A Taxonomy of Myopic Stability Concepts for Hedonic Games," Working Papers 2006.10, Fondazione Eni Enrico Mattei.
  9. Alison Watts, 2006. "Formation of Segregated and Integrated Groups," Working Papers 2006.127, Fondazione Eni Enrico Mattei.
  10. Alison Watts, 2007. "Formation of segregated and integrated groups," International Journal of Game Theory, Springer, vol. 35(4), pages 505-519, April.

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