Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game

Tarik Tazdaït (1) , Moussa Larbani , Rabia Nessah (2)

1 CIRED - centre international de recherche sur l'environnement et le développement
2 UMR CNRS 8179

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 Ky
Fan inequality. Finally, we also provide a method for computing SPBE.

Mots clés: Strong Berge equilibrium; Pareto efficiency; strong Nash equilibrium; Ky Fan inequality

Domaines: Economies et finances

Tarik Tazdaït, Moussa Larbani, Rabia Nessah. Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game. 2007. ⟨halshs-00271464⟩