Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities
Date
2012
Authors
Hüsseinov, F.
Sagara, N.
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Abstract
The main purpose of this paper is to prove the existence of the fuzzy core of an exchange economy with a heterogeneous divisible commodity in which preferences of individuals are given by nonadditive utility functions defined on a σ-algebra of admissible pieces of the total endowment of the commodity. The problem is formulated as the partitioning of a measurable space among finitely many individuals. Applying the Yosida-Hewitt decomposition theorem, we also demonstrate that partitions in the fuzzy core are supportable by prices in L 1. © 2012 Elsevier B.V.
Source Title
Fuzzy Sets and Systems
Publisher
Elsevier BV
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Concave measure, Fuzzy coalition, Fuzzy core, Nonatomic vector measure, Supporting price, Yosida-Hewitt decomposition, Artificial intelligence, Fuzzy sets, Domain decomposition methods
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Language
English
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Article