The Spapley Value for Games with a Finite Number of Effort Levels

Abstract

The Shapley value is a compensation scheme that distributes the surplus of a joint work among its different contributors. It implicitly assumes that players can exert two levels of effort such as high or low, and that all players choose the high level. We extend this concept to an environment in which each player might choose a different level of effort from a finite list of two or more alternatives. We provide four axioms that uniquely characterize .