Hedonic coalition formation games: A new stability notion
AbstractThis paper studies hedonic coalition formation games where each player's preferences rely only upon the members of her coalition. A new stability notion under free exit-free entry membership rights, referred to as strong Nash stability, is introduced which is stronger than both core and Nash stabilities studied earlier in the literature. Strong Nash stability has an analogue in non-cooperative games and it is the strongest stability notion appropriate to the context of hedonic coalition formation games. The weak top-choice property is introduced and shown to be sufficient for the existence of a strongly Nash stable partition. It is also shown that descending separable preferences guarantee the existence of a strongly Nash stable partition. Strong Nash stability under different membership rights is also studied.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 61 (2011)
Issue (Month): 3 (May)
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Web page: http://www.elsevier.com/locate/inca/505565
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- José Alcalde & Antonio Romero-Medina, 2006.
"Coalition Formation and Stability,"
Social Choice and Welfare,
Springer, vol. 27(2), pages 365-375, October.
- José Alcalde & Antonio Romero Medina, 2005. "Coaliton Formation And Stability," Working Papers. Serie AD 2005-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Alcalde, J. & Romero-Medina, Antonio, 2006. "Coalition Formation and Stability," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/5610, Universidad Carlos III de Madrid.
- Ballester, Coralio, 2004. "NP-completeness in hedonic games," Games and Economic Behavior, Elsevier, vol. 49(1), pages 1-30, October.
- Shao Sung & Dinko Dimitrov, 2007. "On Myopic Stability Concepts for Hedonic Games," Theory and Decision, Springer, vol. 62(1), pages 31-45, February.
- Dinko Dimitrov & Peter Borm, 2004.
"Simple Priorities and Core Stability in Hedonic Games,"
Econometric Society 2004 North American Summer Meetings
135, Econometric Society.
- Dinko Dimitrov & Peter Borm & Ruud Hendrickx & Shao Sung, 2006. "Simple Priorities and Core Stability in Hedonic Games," Social Choice and Welfare, Springer, vol. 26(2), pages 421-433, April.
- Dinko Dimitrov & Peter Borm & Ruud Hendrickx & Shao Chin Sung, 2004. "Simple Priorities and Core Stability in Hedonic Games," Working Papers 2004.51, Fondazione Eni Enrico Mattei.
- 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.
- Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P. & Sung, S.C., 2004. "Simple Priorities and Core Stability in Hedonic Games," Discussion Paper 2004-5, Tilburg University, Center for Economic Research.
- John P. Conley & Hideo Konishi, 2000.
"Migration-Proof Tiebout Equilibrium: Existence and Asymptotic Efficiency,"
Boston College Working Papers in Economics
452, Boston College Department of Economics, revised 01 Dec 2000.
- John Conley & Hideo Konishi, 2001. "Migration-proof Tiebout equilibrium:Existence and asymptotic efficiency," Economics Bulletin, AccessEcon, vol. 28(1), pages A0.
- Conley, John P. & Konishi, Hideo, 2002. "Migration-proof Tiebout equilibrium: existence and asymptotic efficiency," Journal of Public Economics, Elsevier, vol. 86(2), pages 243-262, November.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- 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.
- Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
- Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
- 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.
- repec:ner:dauphi:urn:hdl:123456789/87 is not listed on IDEAS
- Iehle, Vincent, 2007. "The core-partition of a hedonic game," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 176-185, September.
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