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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 61 (2011)
Issue (Month): 3 (May)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/505565
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- 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.
- 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.
- John Conley & Hideo Konishi, 2001. "Migration-proof Tiebout equilibrium:Existence and asymptotic efficiency," Economics Bulletin, AccessEcon, vol. 28(1), pages A0.
- 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.
- 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.
- Vincent Iehlé, 2005.
"The core-partition of hedonic games,"
Cahiers de la Maison des Sciences Economiques
b05091, Université Panthéon-Sorbonne (Paris 1).
- Vincent Iehlé, 2005. "The core-partition of hedonic games," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00197528, HAL.
- Iehlé, Vincent, 2007. "The Core-Partition of Hedonic Games," Open Access publications from UniversitÃ© Paris-Dauphine urn:hdl:123456789/87, Université Paris-Dauphine.
- Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
- Shao Sung & Dinko Dimitrov, 2007. "On Myopic Stability Concepts for Hedonic Games," Theory and Decision, Springer, vol. 62(1), pages 31-45, February.
- Iehle, Vincent, 2007. "The core-partition of a hedonic game," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 176-185, September.
- Ballester, Coralio, 2004. "NP-completeness in hedonic games," Games and Economic Behavior, Elsevier, vol. 49(1), pages 1-30, October.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.