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On Myopic Stability Concepts for Hedonic Games

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  • Shao Sung
  • Dinko Dimitrov

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Abstract

We present a unified look at myopic stability concepts for hedonic games, and discuss the status of the existence problems of stable coalition structures. In particular, we show that contractual strictly core stable coalition structures always exist, and present a sufficient condition for the existence of contractually Nash stable coalition structures on the class of separable games. Copyright Springer Science+Business Media, LLC 2007

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File URL: http://hdl.handle.net/10.1007/s11238-006-9022-2
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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 62 (2007)
Issue (Month): 1 (February)
Pages: 31-45

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Handle: RePEc:kap:theord:v:62:y:2007:i:1:p:31-45

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Web page: http://www.springerlink.com/link.asp?id=100341

Related research

Keywords: coalition formation; hedonic games; separability; taxonomy; C71; A14; D20;

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References

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  1. José Alcalde & Pablo Revilla, 2003. "Researching with Whom? Stability and Manipulation," Economic Working Papers at Centro de Estudios Andaluces E2003/35, Centro de Estudios Andaluces.
  2. Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P. & Sung, S.C., 2006. "Simple priorities and core stability in hedonic games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-194178, Tilburg University.
  3. Antonio Romero-Medina & Katari´na Cechlárová, 2001. "Stability in coalition formation games," International Journal of Game Theory, Springer, vol. 29(4), pages 487-494.
  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. Effrosyni Diamantoudi & Licun Xue, . "Farsighted Stability in Hedonic Games," Economics Working Papers 2000-12, School of Economics and Management, University of Aarhus.
  6. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153.
  7. Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
  8. Ballester, Coralio, 2004. "NP-completeness in hedonic games," Games and Economic Behavior, Elsevier, vol. 49(1), pages 1-30, October.
  9. MAULEON, Ana & VANNETELBOSCH, Vincent, . "Farsightedness and cautiousness in coalition formation games with positive spillovers," CORE Discussion Papers RP -1729, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
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Cited by:
  1. Iehle, Vincent, 2007. "The core-partition of a hedonic game," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 176-185, September.
  2. Karakaya, Mehmet, 2011. "Hedonic coalition formation games: A new stability notion," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 157-165, May.

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