A new solution is presented for transferable utility games with graph communication where the cooperation possibilities … connected set in the given graph. To determine the payoff for each player, a single-valued solution, the communication tree …, called a communication tree. For a given game each communication tree of the graph induces a marginal contribution vector, in …

We study cooperative games with communication structure, represented by an undirected graph. Players in the game are … complete communication structure, then the proposed solution coincides with the Shapley value, and that if the game has a cycle …-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link …