Egalitarianism in convex fuzzy games

In this paper the egalitarian solution for convex cooperative fuzzy games is introduced. The classical Dutta-Ray algorithm for finding the constrained egalitarian solution for convex crisp games is adjusted to provide the egalitarian solution of a convex fuzzy game. This adjusted algorithm is also a finite algorithm, because the convexity of a fuzzy game implies in each step the existence ∗This paper was written while the authors were research fellows at the ZiF (Bielefeld) for the project “Procedural Approaches to Conflict Resolution”, 2002. We thank our hosts for their hospitality. †Corresponding author. Postal address: CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands. E-mail address: [email protected]