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 …

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 …

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 …

We show that any cooperative TU game is the maximum of a finite collection of convex games. This max …-convex decomposition can be refined by using convex games with nonnegative dividends for all coalitions of at least two players. As a … consequence of the above results we show that the class of modular games is a set of generators of the distributive lattice of all …

We examine a new class of games, which we call social games, where players not only choose strategies but also choose … players in different roles, among other things. We also examine finite repetitions of games where players may choose to … rematch in any period. Some equilibria of fixed-player repeated games cannot be sustained as equilibria in a repeated social …