Extendable Cooperative Games
AbstractA (TU) cooperative game is extendable if every core allocation of each subgame can be extended to a core allocation of the game. It is strongly extendable if any minimal vector in the upper core of any of its subgames can be extended to a core allocation. We prove that strong extendability is equivalent to largeness of the core. Further, we characterize extendability in terms of an extension of the balanced cover of the game. It is also shown how this extension can unify the analysis of many families of games under one roof. Copyright 2007 Blackwell Publishing, Inc..
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 Association for Public Economic Theory in its journal Journal of Public Economic Theory.
Volume (Year): 9 (2007)
Issue (Month): 6 (December)
Contact details of provider:
Web page: http://www.blackwellpublishing.com/journal.asp?ref=1097-3923
More information through EDIRC
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Shellshear, Evan & Sudhölter, Peter, 2009. "On core stability, vital coalitions, and extendability," Games and Economic Behavior, Elsevier, vol. 67(2), pages 633-644, November.
- Rodica Branzei & Stef Tijs & S. Zeynep Alparslan Gok, 2008. "Some Characterizations of Convex Interval Games," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 219-226, December.
- Arantza Estevez-Fernandez, 2011. "New Characterizations for Largeness of the Core," Tinbergen Institute Discussion Papers 11-086/1, Tinbergen Institute.
- Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer, vol. 36(1), pages 1-15, September.
- Evan Shellshear, 2009. "Characterizing core stability with fuzzy games," Working Papers 410, Bielefeld University, Center for Mathematical Economics.
- Chateauneuf, Alain & Ventura, Caroline, 2011. "Partial probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 22-28, January.
- Brânzei, R. & Tijs, S.H. & Alparslan-Gok, S.Z., 2008. "Some Characterizations of Convex Interval Games," Discussion Paper 2008-55, Tilburg University, Center for Economic Research.
- Evan Shellshear, 2007. "On core stability and extendability," Working Papers 387, Bielefeld University, Center for Mathematical Economics.
- Ehud Lehrer, 2009.
"A new integral for capacities,"
Springer, vol. 39(1), pages 157-176, April.
- Aloisio Araujo & Alain Chateauneuf & José Faro, 2012. "Pricing rules and Arrow–Debreu ambiguous valuation," Economic Theory, Springer, vol. 49(1), pages 1-35, January.
- Arantza Estevez-Fernandez, 2011.
"New Characterizations for Largeness of the Core,"
Tinbergen Institute Discussion Papers
11-086/1, Tinbergen Institute.
- Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Discussion Paper 2007-54, Tilburg University, Center for Economic Research.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum).
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.