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 …

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 …

cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff … distribution to every TU-game. A well-known solution is the Shapley value. In the literature various models of games with … solutions or rules for these games that generalize the Shapley value: one is obtained as the conjunctive permission value using …

allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are … games with ordered players which is based on the distribution of taking into account the hierarchical ordering of the … players. For totally positive games this solution is always contained in the Core, and contains the well-known Shapley value …

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 …

games and focuses on the Dutta-Ray (DR) solution for such games. Well known properties for the classical DR solution are … interval DR solution on the class of convex interval games with the help of bilateral Hart-Mas-Colell consistency and the … constrained egalitarianism for two-person interval games is given …

We study cooperative games with communication structure, represented by an undirected graph. Players in the game are … proposed for this class of games. Given the graph structure we define a collection of spanning trees, where each spanning tree …-convexity is weaker than convexity. For games with a cycle-free communication structure, link-convexity is even weaker than super-additivity …