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 prove that the core of an assignment game (a two-sided matching game with transferable utility as introduced by … conditions for core-stability. By these matrix characterizations we found that on the class of assignment games, largeness of the … core, extendability and exactness of the game are all equivalent conditions, and strictly imply the stability of the core …

substitute of the core. The new existence results obtained in the present paper concern also the case when the coalitional …

This paper discusses the core of the game corresponding to the standard fixed tree problem. We consider the weighted … adaptation of the constrained egalitarian solution of Dutta and Ray (1989). The core of the standard fixed tree game equals the …

It is well known that in three-person transferable-utility cooperative games the bargaining set {\cal M}i1 and the core … core. This paper answers the equivalence question in the remaining four-person case. We prove that in any four-person game … and for arbitrary coalition structure, whenever the core is not empty, it coincides with the bargaining set {\cal M}i1 …