We consider several related set extensions of the core and the anticore of games with transferable utility. An efficient allocation is undominated if it cannot be improved, in a specific way, by sidepayments changing the allocation or the game. The set of all such allocations is called the...

We consider several related set extensions of the core and the anticore of games with transferable utility. An efficient allocation is undominated if it cannot be improved, in a specific way, by sidepayments changing the allocation or the game. The set of all such allocations is called the...

In this paper we introduce two related core-type solutions for games with transferable utility (TU-games) the $\mathcal{B}$-core and the $\mathcal{M}$-core. The elements of the solutions are pairs $(x, \mathcal{B}), $ where x, as usual, is a vector representing a distribution of utility and...

For each outcome (i.e.~a payoff vector augmented with a coalition structure) of a TU-game with a non-empty coalition structure core there exists a finite sequence of successively dominating outcomes that terminates in the coalition structure core. In order to obtain this result a restrictive...