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      Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities

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      Author
      Hüsseinov, F.
      Sagara, N.
      Date
      2012
      Source Title
      Fuzzy Sets and Systems
      Print ISSN
      0165-0114
      Electronic ISSN
      1872-6801
      Publisher
      Elsevier BV
      Volume
      198
      Pages
      70 - 82
      Language
      English
      Type
      Article
      Item Usage Stats
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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.
      Keywords
      Concave measure
      Fuzzy coalition
      Fuzzy core
      Nonatomic vector measure
      Supporting price
      Yosida-Hewitt decomposition
      Artificial intelligence
      Fuzzy sets
      Domain decomposition methods
      Permalink
      http://hdl.handle.net/11693/21416
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.fss.2011.12.021
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