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...

In this paper, we analyze cost sharing problems arising from a general service by explicitly taking into account the generated revenues. To this cost-revenue sharing problem, we associate a cooperative game with transferable utility, called cost-revenue game. By considering cooperation among the...