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...

In this paper we introduce the equal division core for arbitrary multi-choice games and the constrained egalitarian solution for con- vex multi-choice games, using a multi-choice version of the Dutta-Ray algorithm for traditional convex games. These egalitarian solutions for multi-choice games...

In this note we axiomatize the strong constrained egalitarian solution (Dutta and Ray, 1991) over the class of weak superadditive games using constrained egalitarianism, order-consistency, and converse order-consistency.

In this article, we use a stylized model of the labor market to investigate the effects of three alternative and well-known bargaining solutions. We apply the Nash, the Egalitarian and the Kalai-Smorodinsky bargaining solutions in the small firm's matching model of unemployment. To the best of...

The proposed game is a natural extension of the Shapley and Shubik Assignment Game to the case where each seller owns a set of different objets instead of only one indivisible object. We propose definitions of pairwise stability and group stability that are adapted to our framework. Existence of...

The Lorenz-Pareto Optimal Frontier of a collective choice problem indentifies a (usually quite large) subset of all Pareto optimal outcomes which are not inegalitarian according to the Lorenz criterion. We study the basic properties of Lorenz-Pareto optimal choice functions and in particular...

Based on the simple model of the deposit the methodology of finding the optimal solution for bilateral monopoly (BM) of lignite mine and power plant is shown taking into account pit optimisation. It is proposed to treat lignite price negotiation as a kind of game. In the first stage...

Different structures of lignite mines and power stations, which have appeared on the Polish market as a result of its transformation and the privatisation, were discussed. The attention is focused on the fact that the practice is overtaking the theory because there is lack of models of...