Fuzzy cores and fuzzy balancedness

Gerwald Gulick and Henk Norde

Mathematical Methods of Operations Research, 2013, vol. 77, issue 2, 146 pages

Abstract: We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (Problemy Kibernet 10:119–139, 1963 ) and Shapley (Naval Res Logist Q 14: 453–460, 1967 ). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows that any fuzzy game has a non-empty core if and only if it is balanced. We also consider deposit games to illustrate the use of the main result. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Cooperative fuzzy games; Fuzzy balancedness; Fuzzy core; C71 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00186-012-0417-2

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