This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of … balanced transferable utility games can be partitioned into equivalence classes of component games whose core is equal to the … core of the combined game. On the other hand, for non balanced games, the binary relation associating two component games …

Finding a solution concept is one of the central problems in cooperative game theory, and the notion of core is the …, one or several players with all their subordinates. In these situations, the core in its usual formulation may be … unbounded, making its use difficult in practice. We propose a new notion of core, called the restricted core, which imposes …

We consider a second price auction between bidders with independently and identically distributed valuations, where a … question of core stability of the grand coalition, namely: is there a subset of bidders that prefers forming a small bidding … the grand coalition is not necessarily core stable, as opposed to the zero externality case, where the stability of the …

allocation of resource and compensations among generations. Fairness is defined by core lower bounds and aspiration upper bounds …. The core lower bounds require that every coalition of generations obtains at least what it could achieve by itself. The …

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 …