Convex fuzzy games and participation monotonic allocation schemes

In this paper the cone of convex cooperative fuzzy games is studied. As in the classical case of convex crisp games, these games have a large core and the fuzzy Shapley value is the barycenter of the core. Surprisingly, the core and the Weber set coincide ∗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]