that are generated by such prices and belong to the private core. Solutions of that sort obtain under standard regularity …

-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. …

There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that … this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also …

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 …

Uniform{price assignment games are introduced as those assignment mar- kets with the core reduced to a segment. In … allocations, either coincides with the core or reduces to the nucleolus. …

horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core …