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...

In this paper, we provide two characterizations in the context of NTU games: of the consistent egalitarian solution and of the core. The first characterization is based on reduced games and contraction and expansion independence. The second one is based on reduced games and sub-reduced games....

We show that the lexicographic maximin solution is the only solution that satisfies the axioms of Pareto optimality, comprehensive hull axiom and duplicated individual monotonicity. Copyright Springer-Verlag Berlin Heidelberg 1999

We propose a necessary and sufficient condition for the existence of core to the context of multi-choice NTU games. Copyright Springer-Verlag 2005