| Article ID: | iaor20133815 |
| Volume: | 77 |
| Issue: | 2 |
| Start Page Number: | 131 |
| End Page Number: | 146 |
| Publication Date: | Apr 2013 |
| Journal: | Mathematical Methods of Operations Research |
| Authors: | Norde Henk, Gulick Gerwald |
| Keywords: | game theory |
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 is balanced. We also consider deposit games to illustrate the use of the main result.