In the context of cooperative TU-games, and given an order of players, we consider the problem of distributing the worth of the grand coalition as a sequential decision problem. In each step of the process, upper and lower bounds for the payoff of the players are required related to successive...

We study the behaviour of the extreme points of the core of a game in front of the reduction of the game and prove that the extreme core points have the reduced game property but not the converse reduced game property. Nevertheless we give some sufficient conditions on an extreme point of the...

Uniform{price assignment games are introduced as those assignment mar- kets with the core reduced to a segment. In these games, for all active agents, competitive prices are uniform although products may be non-homogeneous. A characterization in terms of the assignment matrix is given. The only...

A new class of games called Financial games is defined. These games are market games and it is showed that they are a generalization of Bankruptcy games. The algebraic structure of this class of games is studied and necessary conditions for a game to be financial are stated. The proportional...

Singlevalued solutions for the case of twosided market games without product differentiation, also known as B ohmBawerk horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core. Moreover a characterization of this set of games in...

This paper provides an axiomatic framework to compare the D-core (the set of undominated imputations) and the core of a cooperative game with transferable utility. Theorem 1 states that the D-core is the only solution satisfying projection consistency, reasonableness (from above),...

Different propietats of convex and average convex games are developed in terms of unanimity coordinates. A set of necessary and sufficient conditions for the core of balanced games containing the Shapley value are given. Connections between convexity and average convexity, the Shapley value, the...

A static comparative study on set-solutions for cooperative TU games is carried out. The analysis focuses on studying the compatibility between two classical and reasonable properties introduced by Young (1985) in the context of single valued solutions, namely core-selection and coalitional...

The paper deals with the subclass of k-convex n-person transferable utility games which have clear affinities to the well-known convex TU-games. Five new characterizations of a k-convex n-person TU-game are presented in terms of: (1) the unanimity coordinates of TU-game with respect to the...

We show that any cooperative TU game is the maximum of a finite collection of convex games. This max-convex decomposition can be refined by using convex games with nonnegative dividends for all coalitions of at least two players. As a consequence of the above results we show that the class of...