A VALUE FOR CEPHOIDAL NTU-GAMES

A Value for Cephoidal NTU-Games

The MC-value for monotonic NTU-games

The MC-value is introduced as a new single-valued solution concept for monotonic NTU-games. The MC-value is based on marginal vectors, which aze extensions of the well-known marginal vectors for TU-games and hyperplane games. As a result of the definition it follows that the MC-value coincides with the Shapley value for TU-games and with the consistent Shapley value for hyperplane games. It is ...

The NTU-Value of Stochastic Games

Fractional Solutions for NTU-Games

In this paper we survey some applications of Scarf’s Lemma. First, we introduce the notion of fractional core for NTU-games, which is always nonempty by the Lemma. Stable allocation is a general solution concept for games where both the players and their possible cooperations can have capacities. We show that the problem of finding a stable allocation, given a finitely generated NTU-game with c...

Single NTU-value solutions¤

We propose a variation of the non-cooperative bargaining model for n-person games in coalitional form, introduced in Hart and Mas-Colell (1996). This strategic game implements, in the limit, a new NTU-value for the class of monotonic games. This value coincides with the Consistent NTU-value (Maschler and Owen,1989) for hyperplane games, and with the Shapley value for TU games (Shapley, 1953). T...