A new solution is presented for transferable utility games with graph communication where the cooperation possibilities … introduced, under which the value is guaranteed to be an element of the core. For games with complete graph communication the … connected set in the given graph. To determine the payoff for each player, a single-valued solution, the communication tree …

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

Using network control structures this paper introduces network communication games as a generalization of vertex games … and edge games corresponding to communication situations and studies their decomposition into unanimity games. We obtain a …, network communication games also allow to consider both the vertices and the edges of the graph as players, leading to a new …

Herings et al. (2008) proposed a solution concept called the average tree solution for cycle-free graph games. We … provide a characterization of the average tree solution for cycle-free graph games. The characterization underlines an … (Myerson, 1977) for cycle-free graph games …

differential games, we contrast the potential gains or losses for these countries due to economic shocks, in case they maintain …

characterization of the nucleolus of cooperative games, which offers an alternative to Kohlberg (1971). In our cooperative purchasing … Cooperative Purchasing (MCP) - situation from the perspective of allocation by defining corresponding cooperative MCP-games. It … alternative characterization of the nucleolus is used. Using the decomposition of an MCP-game into unanimity games we find an …

nucleolus as well as Peleg's axiomatization of the prekernel to the symmetrically weighted versions. Only the reduced games have … to be replaced by suitably modified reduced games whose definitions may depend on the weight system. Moreover, it is …