New convergence results for Nash equilibria

Journal of Convex Analysis

Volumn 6, Issue 2, 1999, Pages 377-385

  Morgan, Jacqueline ^a   Raucci, Roberto ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844456044     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. H. Attouch: Variational Convergences for Functions and Operators, Pitman, Boston, 1984.
2. J. P. Aubin: Mathematical Methods of Game and Economy Theory, North Holland, Amsterdam, 1979.
3. T. Basar, G. J. Olsder: Dynamic Noncoperative Game Theory, Academic Press, New York, 1982.
4. G. Buttazzo, G. Dal Maso: Γ-convergence and optimal control problems, Journal of Optimization Theory and Applications 17 (1982) 385-407.
5. E. Cavazzuti: Esistenza ed approssimazione di equilibri di Nash (1993), working paper.
6. E. Cavazzuti, N. Pacchiarotti: Convergence of Nash equilibria, Bollettino U.M.I. 5-B (1986) 247-266.
7. E. De Giorgi, T. Franzoni: Su un tipo di convergenza variazionale, Atti Accademia Nazionale Lincei, Scienze Matematiche, Fisiche e Naturali 58 (1975) 63-101.
8. P. T. Harker, J. S. Pang: Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications, Mathematical Programming 48 (1990) 161-220.
9. K Kuratowski: Topology, Academic Press, New York, 1966.
10. G. Leitmann: On generalized Stackelberg strategies, Journal of Optimization Theory and Applications 26 (1978) 637-643.
11. M. B. Lignola: Ky Fan Inequalities and Nash equilibrium points with lack of semicontinuity and compactness, Journal of Optimization Theory and Applications 94(1) (1997) 137-145.
12. M. B. Lignola: Existence of Nash equilibrium and saddle points in infinite dimensional space, Optimization 43 (1997) 367-383.
13. M. B. Lignola, J. Morgan: Convergence of marginal functions with dependent constraints, Optimization 23 (1992) 189-213.
14. M. B. Lignola, J. Morgan: Semicontinuity of marginal functions in a sequential setting, Optimization 24 (1992) 241-252.
15. M. B. Lignola, J. Morgan: Topological existence and stability for Stackelberg problems, Journal of Optimization Theory and Applications 84(1) (1995) 145-169.
16. P. Loridan, J. Morgan: New results on approximate solution in two level optimization, Optimization 20 (1989) 819-836.
17. P. Loridan, J. Morgan: On strict ε-solutions for a two level optimization problem, In: W. Buhler, G. Feichtinger, F. Harti, F. J. Radermacher, P. Stahly (eds.): Proceedings of the International Conference on Operation Research 90 in Vienna, Springer-Verlag, Berlin (1992) 145-169.
18. J. Morgan, R. Raucci: Continuity properties of ε-solutions for generalized parametric saddle point problems and application to hierarchical games, Journal of Mathematics Analysis and Applications 211 (1997) 30-48.
19. H. Poppe: Compactness in General Function spaces, VEB Deutscher Verlag der Wissenschaften, Berlin, 1974.
20. R. Raucci: Problemi gerarchici di punti di Nash: esistenza e approssimazione nel caso di unicità al livello inferiore, Rendiconti del Circolo Matematico di Palermo, Serie II, Tomo XLVII (1998) 113-128.
21. R. T. Rockafellar, R. Wets: Variational Analysis, Springer Verlag, Berlin, 1998.
22. K. K. Tan, J. YU: New minimax inequality with applications to existence theorems of equilibrium points, Journal of Optimization Theory and Applications 82 (1994) 105-120.
23. R. J. Williams: Sufficient conditions for Nash equilibria in n-person games over reflexive Banach spaces, Journal of Optimization Theory and Applications 30 (1980) 383-394.
24. J. Yu: On Nash equilibria in n-person games over reflexive Banach spaces, Journal of Optimization Theory and Applications 73 (1992) 211-214.