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.
Original language | English |
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Pages (from-to) | 131-146 |
Journal | Mathematical Methods of Operations Research |
Volume | 77 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2013 |