core is that the monotonic cover of the excess game induced by a payoff be balanced for each imputation in the bargaining … contained in the core. We also give examples showing that to maintain these characterizations, the respective assumptions on the …

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 …

This article considers single-valued solutions of transferable utility cooperative games that satisfy core selection … arbitrary set of players, core selection and aggregate monotonicity are compatible with individual rationality, the dummy player …

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