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 …

the core is provided, which is also valid for the class of convex games. For each ordering in the player set, a payoff … worth vectors, is the set of extreme points of the core of the assignment game. …

necessary and sufficient conditions for the core of balanced games containing the Shapley value are given. Connections between …

We study under which conditions the core of a game involved in a convex decomposition of another game turns out to be a … with a unique stable set different from the core, are reckoning and analyzed. …

-optimal and the sellers-optimal core allocations. Non- square markets are analyzed also by reducing them to appropriate square …

allocation vectors that meet these recursive bounds. The core of the game is reinterpreted as a set of sequentially compatible … payoffs when the Davis-Maschler reduced game is considered (Th.1). Independently of the reduction, the core turns out to be …

two sides. A symmetrically multilateral-bargained (SMB) allocation is a core allocation such that any agent is in … kernel-based set that, together with the core, characterizes the set of SMB. …