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Extendable Cooperative Games

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Author Info
YARON AZRIELI
EHUD LEHRER

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Abstract

A (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..

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9779.2007.00345.x
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Publisher Info
Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 9 (2007)
Issue (Month): 6 (December)
Pages: 1069-1078
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Handle: RePEc:bla:jpbect:v:9:y:2007:i:6:p:1069-1078

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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1097-3923

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  1. Branzei, 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. [Downloadable!]
  2. Ehud Lehrer, 2009. "A new integral for capacities," Economic Theory, Springer, vol. 39(1), pages 157-176, April. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Rodica Branzei & Stef Tijs & S. Zeynep Alparslan Gok, 2008. "Some Characterizations of Convex Interval Games," AUCO Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 219-226, December. [Downloadable!]
  5. Branzei, 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. [Downloadable!]
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