On the Uniqueness of the Shapley Value

Abstract
L. S. Shapley (Shapley, 1953) showed that there is a unique value defined on the class D of all superadditive cooperative games in characteristic function form (over a finite player - set N) which satisfies certain intuitively plausible axioms. Moreover, he raised the question whether an axiomatic foundation could be obtained for a value (not necessarily the Shapley value) in the context of the subclass C (respectively C prime, C double prime) of simple (respectively simple monotonic, simple superadditive) games alone. The paper shows that it is possible to do this.

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