Axioms for the Shapley value on convex geometries

The purpose of this article is an extension of Shapley's value for games with restricted cooperation. The classical model of cooperative game where every subset of players is a feasible coalition may be unrealistic. The feasible coalitions in our model will be the convex sets, i.e., those subsets of players belonging to a convex geometry L. In the last section, we apply this model to several examples about the power in the Council of Ministers of the European Union. (C) 1998 Elsevier Science B.V. All rights reserved.