This chapter studies the theory of value of games with infinitely many players.Games with infinitely many players are …-handed influence. The interactions are modeled as cooperative games with a continuum of players. In general, the continuum consists of … framework for mathematical analysis, and approximates the results for large finite games well. Also, it enables a unified view …

models of communication and hierarchy restrictions in cooperative games, compare different network structures with each other … illustrate these network structures by applying them to cooperative games with restricted cooperation. …

portfolio by studying transferable utility cooperative games: risk allocation games. We show that the class of risk allocation … games coincides with the class of totally balanced games. As a limit case the aggregate portfolio can have the same payoff … in all states of nature. We prove that the class of risk allocation games with no aggregate uncertainty coincides with …

We introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition …

We study transferable utility games with limited cooperation between the agents. The focus is on communication … of all those marginal vectors and the solution. An axiomatization of the solution on the class of circular graph games is …

We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has … satisfies all (fuzzy) balanced inequalities. We also consider deposit games to illustrate the use of the main result …

We consider the problem of axiomatizing the Shapley value on the class of assignment games. We first show that several … axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games … on the class of assignment games. Moreover, these two axioms have a natural interpretation for assignment games …

In this paper we provide new axiomatizations of the Shapley value for TU-games using axioms that are based on …