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.

On Tikhonov well-posedness of concave games and Cournot oligopoly

PATRONE, FIORAVANTE;PUSILLO, ANGELA LUCIA
2002-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/244962
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