On the non-emptiness of the fuzzy core
AbstractThe seminal contribution of Debreu-Scarf (1963) connects the two concepts of core and competitive equilibrium in exchange economies. In effect, their core-equilibrium equivalence result states that, when the set of economic agents is replicated, the set of core allocations of the replica economy shrinks to the set of competitive allocations. Florenzano (1989) defines the fuzzy core as the set of allocations which cannot be blocked by any coalition with an arbitrary rate of participation and then shows the asymptotic limit of cores of replica economics coincides with the fuzzy core. In this note, we provide an elementary proof of the non-emptiness of the fuzzy core for an exchange economy. Unlike the classical Debreu-Scarf limit theorem and its numerous extensions our result does not require any asymptotic intersection -or limit- of the set of core allocations of replica economies.
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Game Theory.
Volume (Year): 37 (2008)
Issue (Month): 2 (June)
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Web page: http://link.springer.de/link/service/journals/00182/index.htm
Other versions of this item:
- Allouch,Nizar & Predtetchinski,Arkadi, 2005. "On the non-emptiness of the fuzzy core," Research Memoranda 002, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Nizar Allouch & Arkadi Predtetchinski, 2005. "On the Non-emptiness of the Fuzzy Core," Working Papers 531, Queen Mary, University of London, School of Economics and Finance.
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Bonnisseau, Jean-Marc & Iehle, Vincent, 2007.
"Payoff-dependent balancedness and cores,"
Games and Economic Behavior,
Elsevier, vol. 61(1), pages 1-26, October.
- Florenzano Monique, 1988. "Edgeworth equilibria, fuzzy core and equilibria of a production economy without ordered preferences," CEPREMAP Working Papers (Couverture Orange) 8822, CEPREMAP.
- Herings,P. Jean-Jacques & Predtetchinski,Arkadi, 2002.
"A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game,"
016, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Predtetchinski, Arkadi & Jean-Jacques Herings, P., 2004. "A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game," Journal of Economic Theory, Elsevier, vol. 116(1), pages 84-92, May.
- Predtetchinski, Arkadi & Herings, P. Jean-Jacques, 2004. "A necessary and sufficient condition for nonemptiness of the core of a non-transferable utility game," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12168, Maastricht University.
- Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1985.
Cowles Foundation Discussion Papers
756R, Cowles Foundation for Research in Economics, Yale University.
- Shapley, Lloyd & Vohra, Rajiv, 1991. "On Kakutani's Fixed Point Theorem, the K-K-M-S Theorem and the Core of a Balanced Game," Economic Theory, Springer, vol. 1(1), pages 108-16, January.
- Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
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