On Tikhonov well-posedness of concave games and Cournot oligopoly

The purpose of this paper is to investigate whether theorems known to guarantee the existence and uniqueness for Nash equilibria, provide also sufficient conditions for the Tikhonov well-posedness. We have considered several hypotheses that ensure existence and uniqueness of a Nash equilibrium These assumptions imply existence and uniqueness of a Nash equilibrium but not all assure the well posedness property. We use the oligopoly Cournot model to apply the obtained resuls.