Fuzzy Cores and Fuzzy Balancedness

G. van Gulick, H.W. Norde

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We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (1963) and Shapley (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 satisfies all (fuzzy) balanced inequalities. We also consider deposit games to illustrate the use of the main result.
Original languageEnglish
Place of PublicationTilburg
Publication statusPublished - 2011

Publication series

NameCentER Discussion Paper


  • Cooperative fuzzy games
  • fuzzy balancedness
  • fuzzy core


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