Jeux quantitatifs

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1. [1] A. BLAQUIÈRE et G. LEITMANN, On the Geometry of Optimal Processes, Parts I, II, III, Univ. of California, Berkeley, I. E. R. Repts. AM-64-10, AM-65-11, AM-66-1. 
2. [2] G. LEITMANN, Some Geometrical Aspects of Optimal Processes (J. SIAM, Ser. A : Control 3, No. 1, 1965). Zbl0143.12505MR184751
3. [3] A. BLAQUIÈRE, Further Investigation into the Geometry of Optimal Processes (J. SIAM, Ser. A : Control 3, No. 2, 1965). Zbl0208.13903MR194229
4. [4] A. BLAQUIÈRE et G. LEITMANN, Some Geometric Aspects of Optimal Processes, Part I : Problems with Control Constraints (Proc. Gongr. Automatique Théorique, 1965, Paris, Dunod, 1967). Zbl0204.17902
5. [5] A. BLAQUIÈRE et G. LEITMANN, On the Geometry of Optimal Processes, dans Topics in Optimization, Academic Press, 1967, p. 265-371 (G. Leitmann, ed.). MR214392
6. [6] K. V. SAUNDERS et G. LEITMANN, Some Geometric Aspects of Optimal Processes, Part II : Problems with State Constraints (Proc. Gongr. Automatique Théorique, 1965, Paris, Dunod, 1967). Zbl0195.43902
7. [7] H. HALKIN, The Principle of Optimal Evolution, in Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, 1963 (J. P. La Salle and S. Lefschetz, eds.). Zbl0151.13101MR147938
8. [8] H. HALKIN, Mathematical Foundations of System Optimization, dans Topics in Optimization, Academic Press, 1967, p. 198-260 (G. Leitmann, éd.). MR211784
9. [9] E. ROXIN, A Geometric Interpretation of Pontryagin's Maximum Principle, dans Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, 1963 (J. P. La Salle and S. Lefschetz, eds.). Zbl0139.04808MR149049
10. [10] R. E. BELLMAN, Dynamic Programming, Princeton Univ. Press, Princeton, New Jersey, 1957. Zbl1205.90002
11. [11] A. BLAQUIÈRE et G. LEITMANN, Further Geometric Aspects of Optimal Processes : Multiple-Stage Dynamic Systems, dans Mathematical Theory of Control, Academie Press, 1967. Zbl0214.40304MR253781
12. 2. Sur la théorie des jeux. 
13. [12] J. VON NEUMANN et O. MORGENSTERN, Theory of Games and Economic Behavior, Princeton Univ. Press, Princeton, New Jersey, 1953. Zbl0063.05930
14. [13] J. Mc KINSEY, An Introduction to the Theory of Games, Mc Graw-Hill, 1952. Zbl0049.09510
15. [14] L. ZADEH, Optimality and Nonscalar-valued Performance Criteria (I. E. E. E. Transactions on Automatic Control, vol. AC-8, January 1963, p. 59-60). 
16. [15] R. ISAACS, Differential Games, Wiley, New York, 1965. Zbl0125.38001MR210469
17. [16] L. D. BERKOVITZ, A Variational Approach to Differential Games, dans Advances in Game Theory, Princeton Univ. Press, Princeton, 1964, p. 127-174. Zbl0138.16603MR163775
18. [17] L. D. BERKOVITZ et W. H. FLEMING, On Differential Games with Integral Payoff, dans Contributions to the Theory of Games, III, Princeton Univ. Press, Princeton, 1957, p. 413-435. Zbl0078.33302MR91866
19. [18] L. D. BERKOVITZ, Necessary Conditions for Optimal Strategies in a Class of Differential Games and Control Problems (J. SIAM Control, vol. 5, No. 1, 1967, p. 1-24). Zbl0156.10102MR209027
20. [19] D. L. KELENDZHERIDZE, A Pursuit Problem, dans The Mathematical Theory of Optimal Processes, Interscience, New York, 1962. 
21. [20] L. S. PONTRYAGIN, On Some Differential Games (J. SIAM Control, vol. 3, No. 1, 1965, p. 49-52). Zbl0144.12603MR189868
22. [21] L. S. PONTRYAGIN, On the Theory of Differential Games (Uspehi Mat. Nauk, 21, No. 4 (130), 1966, p. 219-274]. Zbl0163.41801MR204187
23. [22] E. F. MISHCHENKO et L. S. PONTRYAGIN, Linear Differential Games (Dokl. Akad. Nauk S. S. S. R., t. 174, No. 1, 1967, p. 27-29, et Soviet Math. Dokl, vol. 8, No. 3, 1967, p. 585-588). Zbl0189.46602
24. [23] Y. C. Ho, A. E. BRYSON et S. BARON, Differential Games and Optimal Pursuit-Evasion Strategies (I. E. E. E. Transactions on Automatic Control, vol. AC-10, October 1965, p. 385-389). MR184747
25. [24] S. BARON, Differential Games and Optimal Pursuit-Evasion Strategies (Unpublished doctoral dissertation, Harvard University, Cambridge, 1966). 
26. [25] E. N. SIMAKOVA, Differential Games (a survey paper) (Avtomatika i Telemekhanica, vol. 27, No. 11, November 1966, p. 161-178). Zbl0152.38501MR211766
27. [26] I. G. SARMA et R. K. RAGADE, Some Considerations in Formulating Optimal Control Problems as differential Games (Int. J. Control, vol. 4, No. 3, 1966, p. 265-279). Zbl0201.48204MR209041
28. [27] G. MON, Differential Game Theory : A Geometric Approach. Unpublished doctoral dissertation, Univ. California, Berkeley, 1967. 
29. [28] G. LEITMANN et G. MON, Some Geometric Aspects of Differential Games (Journal of Astraunautical Sciences, vol. 14, No. 2, March-April 1967, p. 56-65). MR213163
30. [29] G. LEITMANN et G. MON, On a Class of Differential Games (Proceed. Colloquium on Advanced Problems and Methods for Space Flight Optimization, Liège, 1967, Pergamon Press, 1968 (aussi dans Kibernetika, January 1968). Zbl0229.90064
31. [30] G. WANG et G. LEITMANN, Necessary and sufficient Conditions for Two-Person, Zero-Sum Multistage Games (J. Optim. Theory Appl) (en cours de publication). Zbl0169.51706
32. [31] A. BLAQUIÈRE et G. LEITMANN, Multiple-Stage Quantitative Games (2nd International Colloquium on Methods of Optimization, Novosibirsk, 1968; Ed. Springer-Verlag) (en cours de publication). Zbl0211.45903MR274043
33. [32] A. BLAQUIÈRE et F. GÉRARD, On the Geometry of Optimal Strategies in Two-Person Games of Kind (J. Computer System Sci,, vol. 2, No. 3, October 1968). Zbl0169.51707MR281501
34. [33] A. BLAQUIÈRE et G. LEITMANN, Multistage Quantitative Games (Proceedings of the 2nd Hawaii International Conference of System Sciences, 1969, p. 579). 
35. [34] A. BLAQUIÈRE et N. GANI, Jeux quantitatifs multiétages avec étage terminal non prescrit (C. R. Acad. Sc., Paris, 268, série A, 1969, p. 428). Zbl0182.48503MR242498
36. [35] A. BLAQUIÈRE et G. LEITMANN, Multistage Quantitative Games with Unprescribed Terminal Stages (Int. J. Non-Linear Mechanics, vol. 4, 1969). Zbl0209.16901MR305822
37. [36] A. BLAQUIÈRE, F. GÉRARD et G. LEITMANN, Quantitative and Qualitative Games, Academic Press Inc., 1969. MR261973
38. [37] F. GÉRARD, Théorie géométrique des jeux différentiels qualitatifs à deux joueurs (Thèse de Doetorat d'État, Faculté des Sciences de Paris, 1968). 

1. A. Haurie, A. M. Dussaix, Un modèle dynamique de négociation sous forme d'un jeu semi-différentiel