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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 32, 1995 - Issue 3
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Original Articles

Weak stackelberg problem and mixed solutions under data perturbationsFootnote11this paper is based upon a communication presented at the 14th symposium on mathematical programming with data perturbation, Washington D.C. 1992. This research has been supported by M.U.R.S.T Roma, Italia.$ef:

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Pages 269-290 | Published online: 20 Mar 2007

References

  • Von Stackelberg , H. 1952 . The Theory of the Market Economy , Oxford, , England : Oxford University Press .
  • Simaan , M. and Cruz , J. 1973 . On the Stackelberg Strategies in Nonzero Sum Games . Journal of Optimization Theory and Applications , 11 : 533 – 555 .
  • Chen , C. and Cruz , J.B. 1972 . Stackelberg Solutions for Two-person Games with Biased Information Patterns . IEEE Transactions on Automatic Control , AC-17 : 791 – 797 .
  • Basar , T. and Olsder , G.J. 1982 . Dynamic Noncooperative Game Theory , New York : Academic Press . New York
  • Breton , M. , Alj , A. and Haurie , A. 1988 . Sequential Stackelberg Equilibria in Two-Person Games . Journal of Optiinization Theory and Applications , 59 : 71 – 97 .
  • Leitmann , G. 1978 . On Generalized Stackelberg Strategies . On Generalized Stackelberg Strategies, Journal of Optimization Theory and Applications , 26 : 637 – 643 .
  • Bagchi , A. 1984 . “ Stackelberg Differential Games in Economic Model ” . In Lecture Notes in Control and Information Sciences , Vol. 64 , Berlin, , Germany : Springer Verlag .
  • Morgan , J. 1989 . “ Constrained Well-Posed Two-Level Optimization Problems ” . In Non-smooth Optimization and Related Topics , Edited by: Clarke , F.H. , Dem’yanov , V.F. and Giannessi , F. New York : Plenum Press . New York
  • Loridan , P. and Morgan , J. 1989 . A Theoretical Approximation Scheme for Stackelberg Problems . Journal of Optimization Theory and Applications , 61 ( 1 ) : 95 – 110 .
  • Loridan , P. and Morgan , J. 1988 . “ Approximate Solutions for Two-level Optimization Problems ” . In Trends in Mathematical Optimization , Edited by: Hoffmann , K. , Hiriart-Urruty , J. , Lemarechal , L. and Zowe , J. 181 – 196 . Birkhauser Verlag . International Series of Numerical Mathematics 84
  • Loridan , P. and Morgan , J. 1989 . “ εRegularized Two-Level Optimization Problems: Approximation and Existence Results ” . In Lecture Notes in Mathematics , Vol. 1405 , 99 – 113 . Berlin : Springer Verlag .
  • Loridan , P. and Morgan , J. 1989 . New Results on Approximate Solutions in Two-Level Optimization . Optimization , 20 : 819 – 836 .
  • Loridan , P. and Morgan , J. 1992 . On Strict εSolutions for a Two-Level Optimization Problem . Proceeding of the International Conference on Operation Research 90 in Vienna . 1992 . Edited by: Feichtinger , G. , Buhler , W. , Radermacher , F.G. and Stahly , P. pp. 165 – 172 . Berlin, , Germany : Springer Verlag .
  • Aubin , J.P. 1982 . Mathematical Methods of Game and Economic Theory , Holland : North-Holland Publishing Company .
  • Owen , G. 1968 . Game Theory , Philadelphia, Pennsylvania : Saunders .
  • Moulin , H. 1986 . Game Theory for the Social Sciences , New York, New York : University Press .
  • Basar , T. and Olsder , G.J. 1980 . Mixed Stackelberg Strategies in Continuous-Kernel Games . IEEE Transactions on Automatic Control , AC-25 : 307 – 309 .
  • Mallozzi , L. and Morgan , J. 1993 . εmixed Strategies for Static Continuous Kernel Stackelberg Problem . Journal of Optimization Theory and Applications , 78 ( 2 ) : 303 – 316 .
  • De Giorgi , E. and Franzoni , T. 1979 . Su un Tipo di Convergenza Variazionale . Rendiconti del Seminario Matematico die Brescia , 3 ( 2 ) : 63 – 101 .
  • Buttazzo , G. and Dal Maso , G. 1982 . Гconvergence and Optimal Control Problems . Journal of Optimization Theory and Applications , 38 ( 3 ) : 385 – 407 .
  • Attouch , H. 1984 . Variational Convergence for Functions and Operators , Boston : Pitman .
  • Zolezzi , T. 1984 . On Stability Analysis in Mathematical Programming . Mathematical Programming Studies , 21 : 227 – 242 .
  • Kuratowski , C. 1966 . Topology , New York : Academic Press .
  • Molodstov , D.A. and Fedorov , V.V. 1973 . Approximation of Two-Person Games with Information Exchange . USSR Computational Mathematics and Mathematical Physics , 13 : 123 – 142 .
  • Mangasarian , O.L. 1969 . Non Linear Programming , New York : McGraw-Hill .
  • Lignola , M.B. and Morgan , J. 1990 . Topological Existence and Stability for Minsup Problems . Journal of Mathematical Analysis and Applications , 151 ( 1 ) : 164 – 180 .
  • Lignola , M.B. and Morgan , J. 1992 . Convergence of Marginal Functions with Dependent Constraints . Optimization , 23 ( 1 ) : 189 – 213 .
  • Rasmusen , E. 1989 . Games and Information: an Introduction to Game Theory , Oxford : Basil Blackwell LTD .
  • Poppe , H. 1974 . Compactness in General Function Spaces , Berlin : VEB Deutsche Verlag der Wissenschaften .
  • Lignola M. B. Morgan J. Topological Existence and Stability for Stackelberg Problems 1991 Preprint n. 47, Dipartimento di Matematica e Applicazioni R. Caccioppoli, Universita degli Studi di Napoli Federico I1 (to appear on Journal of Optimization Theory and Applications)
  • Mertens , J.F. 1995 . The Minmax Theorem for U.S.C.-L.S.C. Payoff Functions . International Journal of Game Theory , 15 ( 4 ) : 237 – 250 .

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