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

The core of a game v on N, which is the set of additive games φ dominating v such that φ(N)=v(N), is a central notion … and the greedy algorithm. In many cases however, the core is empty, and alternative solutions have to be found. We define … the k-additive core by replacing additive games by k-additive games in the definition of the core, where k-additive games …

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 …

modelled in terms of equilibrium-core allocations of parameterized cost games. …

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 …, 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 …