Template-type: ReDif-Paper 1.0
Author-Name: Allouch Nizar
Author-Name: Predtetchinski Arkadi
Author-workplace-name: METEOR
Title: On the non-emptiness of the fuzzy core
Abstract: The seminal contribution of Debreu-Scarf [4] 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 [6] 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 economies 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 [4] and its numerous extensions our result does not require any asymptotic intersection -or limit- of the set of core allocations of replica economies. 
Keywords: Economics ; 
Series: Research Memoranda
Creation-Date: 2005
Number: 002
File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:03d7ca6f-06b2-4109-88d2-a6efbdaf71f6/datastreams/ASSET1/content
File-Format: application/pdf
File-Size: 111676
Handle: RePEc:unm:umamet:2005002