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Title:On the non-emptiness of the fuzzy core PDF Logo
Authors:Allouch, Nizar
Predtetchinski, Arkadi
Issue Date:2005
Series/Report no.:Working Paper, Department of Economics, Queen Mary, University of London 531
Abstract:The 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.
Subjects:Fuzzy core, Payoff-dependent balancedness, Exchange economies
JEL:D51
C71
Document Type:Working Paper
Appears in Collections:Working Paper Series, School of Economics and Finance, Queen Mary, University of London

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