containing the (Shapley) share-core, the Banzhaf share-core and the Large Banzhaf share-core. We provide characterizations of …

We study the behaviour of the extreme points of the core of a game in front of the reduction of the game and prove that … the extreme core points have the reduced game property but not the converse reduced game property. Nevertheless we give … some sufficient conditions on an extreme point of the core of a reduced game to extend to an extreme core point of the …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

generated by a partial order on the set of players. In such a situation, the core may be unbounded, and one has to select a … bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core … for sets belonging to so-called normal collections, resulting (if nonempty) in the selection of a bounded face of the core …