The aim of this paper is to present a new value of a cooperative game for the case of limited communication between … players. The communication system we consider may be represented by a simple graph, that is, only pairwise meetings can occur …

models of communication and hierarchy restrictions in cooperative games, compare different network structures with each other …. Two well-known network structures are hierarchies and communication networks. We give an overview of the most common … and discuss network structures that combine communication as well as hierarchical features. Throughout the survey, we …

models of communication and hierarchy restrictions in cooperative games, compare different network structures with each other …. Two well-known network structures are hierarchies and communication networks. We give an overview of the most common … and discuss network structures that combine communication as well as hierarchical features. Throughout the survey, we …

non connected coalitions. These axioms are generally satisfied by solution concepts for games with communication …The aim of this paper is to present an approach to the middleman problem in the context of cooperative games when … communication between players is graph-restricted. We consider a set of three axioms: linearity, dummy player and independence of …

new values for transferable utility games with graph restricted communication and a priori unions. Both values are …

In this paper we introduce and characterize two new values for transferable utility games with graph restricted … communication and a priori unions. Both values are obtained by applying the Shapley value to an associated TU-game. The graph …

The equivalence of markets and games concerns the relationship between two sorts of structures that appear … fundamentally different -- markets and games. Shapley and Shubik (1969) demonstrates that: (1) games derived from markets with … concave utility functions generate totally balanced games where the players in the game are the participants in the economy …

The equivalence of markets and games concerns the relationship between two sorts of structures that appear … fundamentally different -- markets and games. Shapley and Shubik (1969) demonstrates that: (1) games derived from markets with … concave utility functions generate totally balanced games where the players in the game are the participants in the economy …

them today. Along with about 80 articles, Mertens's topics go from the formulation of Bayesian decision making in games … others, the selection of Nash equilibria in noncooperative games, the existence of solutions for stochastic games and the … extension of the Shapley value in cooperative games with infinitely many negligible agents. …