The Shapley Value for Partition Function Form Games

Different axiomatic systems for the Shapley value can be found in the literature.For games with a coalition structure, the Shapley value also has been axiomatized in several ways.In this paper, we discuss a generalization of the Shapley value to the class of partition function form games.The concepts and axioms, related to the Shapley value, have been extended and a characterization for the Shapley value has been provided.Finally, an application of the Shapley value is given.