This paper presents two characterizations of the core on the domain of all NTU games. One is based on consistency with respect to “complement-reduced game” and converse consistency with respect to “max-reduced game”. The other is based on consistency with respect to “max-reduced...

We will introduce the notation of the generalized reduced game to “unify” the representations for maximal subclasses of the classes of essential games (superadditive games and convex games) that are closed under reduction in the sense of Sobolev (1975), Hart and Mas-Colell (1989), and Moulin...

We will introduce the notation of the generalized reduced game to “unify” the representations for maximal subclasses of the classes of essential games (superadditive games and convex games) that are closed under reduction in the sense of Sobolev (1975), Hart and Mas-Colell (1989), and Moulin...