In this paper, we characterize the class of games for which the core coincides with the core cover (compromise stable games). Moreover, we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems. Also, the class of convex...

We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (1963) and Shapley (1967). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows...

The core cover of a TU-game is a superset of the core and equals the convex hull of its larginal vectors. A larginal vector corresponds to an order of the players and describes the efficient payoff vector giving the first players in the order their utopia demand as long as it is still possible...