A new approach to Tikhonov well-posedness for Nash equilibria

Optimization

Volumn 40, Issue 4, 1997, Pages 385-400

  Margiocco, M ^a   Patrone, F ^a   Pusillo, Lucia ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

Approximate nash equilibria; Ordinality in games; Tikhonov well posedness

Indexed keywords

EID: 0031474433     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939708844321     Document Type: Article

References (20)

1. Bednarczuk, E. (1994). An approach to well-posedness in vector optimization: consequences to stability, Control and Cybern., 23, 107-122.
2. Beer, G. and Lucchetti, R. (1992). The epi-distance topology: continuity and stability results with application to convex optimization problems, Math. Oper. Res., 17, 715-726.
3. Cavazzuti, E. and Morgan, J. (1983). Well-Posed Saddle Point Problems, in Optimization, theory and algorithms (Hiriart-Urruty, J.-B., Oettli, W. and Stoer, J.eds.), Proc. Conf. Confolant/France 1981, 61-76.
4. Dontchev, A. and Zolezzi, T. (1993). Well-Posed Optimization Problems, Springer, Berlin.
5. Engl, G. (1995). Lower Hemicontinuity of the Nash Equilibrium Correspondence, Games Econom. Behav., 9, 151-160.
6. Furi, M. and Vignoli, A. (1970). About well-posed optimization problems for functionals in metric spaces, J. Optimization Theory Appl., 5, 225-229.
7. Levitin, E. S. and Polyak, B. T. (1966). Convergence of minimizing sequences in conditional extremum problems, Soviet Math. Dokl., 7, 764-767.
8. Loridan, P. (1995). Well-Posedness in Vector Optimization, in Recent Developments in Well-Posed Variational Problems (Lucchetti, R. and Revalski, J. eds.), Kluwer, Dordrecht, 171-192.
9. Lucchetti, R. and Patrone, F. (1981). A characterization of Tyhonov well-posedness for minimum problems, with applications to variational inequalities, Numer. Funct. Analysis Optimiz., 3, 461-476.
10. Lucchetti, R. and Patrone, F. (1982-83). Some properties of "well-posed" variational inequalities governed by linear operators, Numer. Funct. Analysis Optimiz., 5, 349-361.
11. Lucchetti, R. and Revalski, J. (eds) (1995). Recent Developments in Well-Posed Variational Problems, Kluwer, Dordrecht.
12. Morgan, J. (1989). Constrained Well-Posed Two-Level Optimization Problems, in Non-Smooth Optimization and Related Topics (Clarke, F. H., Dem'yanov, V. F. and Giannessi, F. eds.), Plenum Press, New York.
13. Myerson, R. B. (1991). Game Theory: Analysis of Conflict, Harvard University Press, Cambridge (MA).
14. Patrone, F. (1987). Well-Posedness as an Ordinal Property, Riv. Mat. Pura Appl., 1, 95-104.
15. Patrone, F. (1995). Well-Posedness for Nash equilibria and related topics, in Recent Developments in Well-Posed Variational Problems (Lucchetti, R. and Revalski, J. eds.), Kluwer, Dordrecht, 211-227.
16. Patrone, F. and Pusillo Chicco, L. (1995). Antagonism for two-person games: taxsonomy and applications to Tikhonov well-posedness, preprint.
17. th Spring Confer. of the Union of Bulgarian Mathematicians, Sofia.
18. Revalski, J. P. (1987). Generic well-posedness in some classes of optimization problems, Acta Univ. Carolinae Math. et Phys., 28, 117-125.
19. Tikhonov, A. N. (1966). On the stability of the functional optimization problem, USSR J. Comp. Math. Math. Phys., 6, 631-634.
20. Wilson, R. (1971). Computing equilibria of n-person games, SIAM J. Appl. Math., 21, 80-87.