AMS classifications: 90D12; 03E72;

In this paper reasonable payoff intervals for players in a game in partition function form (p.f.f.game) are introduced and used to define the notion of compromisable p.f.f. game.For a compromisable p.f.f. game a compromise value is defined for which an axiomatic characterization is provided.Also...

A cooperative game with transferable utility -or simply a TU-game- describes a situation in which players can obtain certain payoffs by cooperation.A value function for these games is a function which assigns to every such a game a distribution of the payoffs over the players in the game.An...

In this paper we generalize the concept of a non-transferable utility game by introducing the concept of a socially structured game.A socially structured game is given by a set of players, a possibly empty collection of internal organizations on any subset of players, for any internal...

We consider cooperative games with transferable utility (TU-games), in which we allow for a social structure on the set of players, for instance a hierarchical ordering or a dominance relation.The social structure is utilized to refine the core of the game, being the set of payoffs to the...