Probabilistic values for games

This chapyer presents an axiomatic development of values for games involving a fixed finite set of players. We primarily seek methods for evaluating the prospects of individual players, and our results center around the class of "probabilistic" values. In the process of obtaining our results, we examine the role played by each of the Shapley axioms ins restricting the set of value functions under consideration, and we trace in detail the logical path leading the Shapley value.