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Fuzzy cores and fuzzy balancedness

van Gulick,G.
; 
Norde,H.W.
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.
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2013
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Tilburg University Research Output Collection
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van Gulick, G & Norde, H W 2013, 'Fuzzy cores and fuzzy balancedness', Mathematical Methods of Operations Research, vol. 77, no. 2, pp. 131-146. https://doi.org/10.1007%2fs00186-012-0417-2#
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https://hdl.handle.net/20.500.14602/59326
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