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α-Well-posedness for Nash Equilibria and For Optimization Problems with Nash Equilibrium Constraints |
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| Authors: | M. Beatrice. Lignola Jacqueline Morgan |
| Affiliation: | (1) Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli, “Federico II”, Via Claudio 21, 80125 Napoli, Italy;(2) Dipartimento di Matematica e Statistica, Compl. Universitario Monte S. Angelo, Via Cintia, 80126 Napoli, Italy |
| Abstract: | We present the concepts of α-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 α-well-posedness for variational inequalities and optimization problems with variational inequality constraints. |
| Keywords: | Nash equilibrium variational inequality α -well-Posedness optimization problem with Nash equilibrium constraints |
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