In many share problems there is an a priori given a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are...

The aim of this paper is to discuss a new concept of well-posedness for non cooperative games. Starting from the definition of (∊,k) equilibrium as the point where every player either guarantees at least k or he (she) does not lose more than ∊, we introduce an original definition of...

This paper focuses on the Banzhaf value for cooperative games with a finite set of players where the coalition values, expressed by the characteristic function, are compact intervals of the real numbers. We generalize the Banzhaf value for TU-cooperative games to the class of games with interval...