Finding a solution concept is one of the central problems in cooperative game theory, and the notion of core is the … core, reflecting the team structure, and previous attempts are not satisfactory in this respect. We propose a new notion of … core, which imposes efficiency of the allocation at each level of the hierarchy, and answers the problem of sharing …

having a nonempty core, and this core is usually considered as the solution of game. Based on the concept of k-additivity, we … define to so-called k-balanced games and the corresponding generalization of core, the k-additive core, whose elements are … corresponding k-additive core is not empty. For the games in the k-additive core, we propose a sharing procedure to get an …

An element of the possibly unbounded core of a cooperative game with precedence constraints belongs to its bounded core … if any transfer to a player from any of her subordinates results in payoffs outside the core. The bounded core is the … union of all bounded faces of the core, it is nonempty if the core is nonempty, and it is a continuous correspondence on …