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 …

We prove that the core on the set of all transferable utility games with players contained in a universe of at least … also characterize the core on certain subsets of games, e.g., on the set of totally balanced games, on the set of balanced … games, and on the set of superadditive games. Suitable extensions of these properties yield an axiomatization of the core on …