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. …

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 …

We consider hedonic coalition formation games that are induced by a simple TU-game and a cooperative solution. For such … ; Simple games ; Top coalition property …

core. In this paper we generalize this result by distinguishing equivalence classes of balanced games that share the same … defines the class. Application of this general theorem to the class of convex games yields an alternative proof of the Shapley … of TU games on which the core correspondence is additive (even linear). For the case of convex games we prove that the …

portfolios' realization vectors, risk allocation games aim at solving the second problem: How to distribute the diversification … benefits of the various portfolios? Understanding these cooperative games helps us to find stable, efficient, and fair … allocations of risk. We show that the class of risk allocation and totally balanced games coincide, hence a stable allocation of …

The Shapley value certainly is the most eminent single-point solution concept for TU-games. In its standard …

show that it is non-empty if all ex post TUgames are convex. -- transferable utility games ; uncertainty ; Weak Sequential …

On several classes of n-person NTU games that have at least one Shapley NTU value, Aumann characterized this solution …, provided that the class of games is not further restricted. Moreover, we present an example of a solution that satisfies the … first five axioms and violates IIA for two-person NTU games (N, V ) with uniformly p-smooth V(N). -- NTU game ; Shapley NTU …

players ́possibilities to cooperate. In this paper, we propose three new solutions for games with hierarchical structure and … games with levels structure. The transformations that map the set of hierarchical structures to the set of levels structures …