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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Keywords

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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Published Version (Please cite this version)

Language

English

Type

Article