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 …

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 …

In cooperative games, the core is the most popular solution concept, and its properties are well known. In the … subcollection of the power set of the set of players has many implications on the mathematical structure of the core, depending on …

graphs. We study in this perspective the core of games defined on k-regular set systems. We show that the core may be …