value, the nucleolus or accountings formulas can be applied and compared. Our analysis is inspired by the need for a …

not be balanced. Some conditions for balancedness are provided and, in that case, properties of the core are analyzed … the cores of two assignment games coincides with the core of the sum game. …

) do not necessarily ensure stability in the sense of the core of a cooperative game: some nations and groups of nations … compute allocations of permits satisfying core constraints at each commitment period, while being as close as possible to any …

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 … coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact …

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

. On the class of data games, the Core, the Nucleolus and the Shapley value provide relevant compensation schemes. We … provide three comparable axiomatic characterizations of the set of all (additive) compensation schemes belonging to the Core …, of the Nucleolus and of the Shapley value. The axioms reflects principles of various theories of justice. …

We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five …