α-Well-posedness for Nash Equilibria and For Optimization Problems with Nash Equilibrium Constraints

Authors:
M. Beatrice. Lignola;Jacqueline Morgan
Affiliations:
Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Università degli Studi di Napoli, Napoli, Italy 80125;Dipartimento di Matematica e Statistica, Compl. Universitario Monte S. Angelo, Napoli, Italy 80126
Venue:
Journal of Global Optimization
Year:
2006

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Abstract

We present the concepts of 驴-well-posedness for parametric noncooperative games and for optimization problems with constraints defined by parametric Nash equilibria. We investigate some classes of functions that ensure these types of well-posedness and the connections with 驴-well-posedness for variational inequalities and optimization problems with variational inequality constraints.