Nonlinear Inequality, Fixed Point and Nash
Equilibrium

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

Mots clés: Ky Fan inequality; g-maximum equality; fixed point; Nash equilibrium

Domaines: Economies et finances

Tarik Tazdaït, Moussa Larbani, Rabia Nessah. Nonlinear Inequality, Fixed Point and Nash
Equilibrium. 2006. ⟨halshs-00271448⟩