We extend the consistency principle for strategic games (Peleg and Tijs (1996)) to apply to solutions which assign to each game a collection of product sets of strategies. Such solutions turn out to satisfy desirable properties that solutions assigning to each game a collection of strategy...

A vector of balanced weights infers an inequality that games with a nonempty core obey. This paper gives a generalization of the notion 'vector of balanced weights'. Herewith it provides necessary and su?cient conditions to determine whether a TU-game has a population monotonic allocation scheme...