A cooperative game with non-transferable utility (NTU-game) consists of a collection of payoff sets for the subsets of a finite set of players, for which it has to be determined how much payoff each player must receive. The core of an NTU-game consists of all payoff vectors that are in the...

We study transferable utility games with limited cooperation between the agents. The focus is on communication structures where the set of agents forms a circle, so that the possibilities of cooperation are represented by the connected sets of nodes of an undirected circular graph. Agents are...

In this paper we introduce the concept of quasi-building set that may underlie the coalitional structure of a cooperative game with restricted communication between the players. Each feasible coalition, including the set of all players, contains a nonempty subset called the choice set of the...