review the papers that have addressed the allocation problem using cooperative game theory. We also relate the rules defined …

-building set. Properties of this solution are also studied. To establish core stability we introduce appropriate convexity …

Our objective is to analyze the relationship between the Shapley value and the core of cooperative games with … transferable utility. We first characterize balanced games, i.e., the set of games with a nonempty core, through geometric … nonnegative linear combination of some simple games. Moreover, we show that the set of games whose Shapley value lies in the core …