Based on the notion of equilibrium of a coalition P relatively to a coalition K, of Berge, Zhukovskii has introduced Berge equilibrium as an alternative solution to Nash equilibrium for non cooperative games in normal form. The essential advantage of this equilibrium is that it does not require...

In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As an application, we prove a new fixed point theorem.

This paper studies the concept of "mutual aid" developed by Kropotkin, which implies cooperation as a strategic choice. We study this concept in a Sequential Prisoners' Dilemma in a non-cooperative framework and in an indirect evolution framework (with complete and incomplete information). We...

In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem. We also prove a new theorem of existence of Nash equilibrium.

In this paper, we study the main properties of the strong Berge equilibrium which is also a Pareto efficient (SBPE) and the strong Nash equilibrium (SNE). We prove that any SBPE is also a SNE, we prove also existence theorem of SBPE based on the KyFan inequality. Finally, we also provide a...

Emission trading systems have been recently proposed in diffrerent regions to reduce polluting emissions (e.g. in the European Union for carbon dioxide). One of the objectives of these systems is to encourage firms to adopt advanced abatement technologies. However permits create an incentive to...