Necessary optimality conditions for N -player nonzero-sum multistage games

Jaroslav Doležal

Kybernetika (1976)

  • Volume: 12, Issue: 4, page (268)-295
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Necessary optimality conditions for $N$-player nonzero-sum multistage games." Kybernetika 12.4 (1976): (268)-295. <http://eudml.org/doc/27326>.

@article{Doležal1976,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
language = {eng},
number = {4},
pages = {(268)-295},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Necessary optimality conditions for $N$-player nonzero-sum multistage games},
url = {http://eudml.org/doc/27326},
volume = {12},
year = {1976},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Necessary optimality conditions for $N$-player nonzero-sum multistage games
JO - Kybernetika
PY - 1976
PB - Institute of Information Theory and Automation AS CR
VL - 12
IS - 4
SP - (268)
EP - 295
LA - eng
UR - http://eudml.org/doc/27326
ER -

References

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  1. A. W. Starr Y. C. Ho, Nonzero-sum diferential games, J. Optimiz. Theory Applics. 3 (1969), 3, 184-206. (1969) MR0249117
  2. A. W. Starr Y. C. Ho, Further properties of nonzero-sum games, J. Optimiz. Theory Applics. 3 (1969), 4, 207-219. (1969) MR0249118
  3. J. H. Case, Towards a theory of many players differential games, SIAM J. Control 7 (1969), 2, 179-197. (1969) MR0249111
  4. Y. C. Ho G. Leitman (eds.), Proceedings of the First International Conference on the Theory and Application of Differential Games, Amherst, Massachusetts 1969. (1969) 
  5. Y. C. Ho, Differential games, dynamic optimization and generalized control theory, J. Optimiz. Theory Applics. 6 (1970), 3, 179-209. (1970) Zbl0188.47702MR0278752
  6. H. W. Kuhn, G P. Szego (eds.), Differential Games and Related Topics, North-Holland Publ. Co., Amsterdam 1971. (1971) MR0274063
  7. A. Friedman, Differential Games, Wiley, New York 1971. (1971) Zbl0231.90068MR0421700
  8. H. H. Красовский A. И. Cy66oтин, Позиционные дифференциальные игры, Hayкa, Mocквa 1974. (1974) 
  9. A. Blaquiere F. Gerard G. Leitman, Quantitative and Qualitative Games, Academic Press, New York 1969. (1969) MR0261973
  10. G. Wang G. Leitman, Necessary and sufficient conditions for multistage two-person zero-sum games, J. Optimiz. Theory Applics. 4 (1969), 3, 145-155. (1969) MR0252046
  11. A. Blaquiére G. Leitman, Multistage quantitative games with unprescribed terminal stages, Int. J. Non-Linear Mechanics 5 (1970), 3, 437-446. (1970) MR0305822
  12. A. И. Пропой, Минимаксные задачи управления при априорной информированости, Автоматика и телемеханика (1969), 7, 73 - 79. (1969) Zbl1149.62317
  13. A. И. Пропой, Минимаксные задачи управления при последовательной информированости, Автоматика и телемеханика (1970), 1, 66 - 75. (1970) Zbl1170.92319
  14. M. Rudnianski, Valeurs extrémales garanties et strategies pures dans les jeux multi-étages á retard, á deux joueurs, á somme nulle et en temps fixe, Revue du Cethedec 11 (1974), 38, 1-23. (1974) MR0475911
  15. J. Doležal, Problémy diskrétního optimálního řízení a diferenční hry, Kandidátská disertační práce. ÚTIA ČSAV, Praha 1973. (1973) 
  16. J. Doležal, Some properties of nonzero-sum multistage games, In: Lecture Notes in Computer Science No. 27, Springer-Verlag, Berlin 1975, 450-459. (1975) 
  17. J. Doležal, Diskrétní dynamické problémy s vektorovým ztrátovým funkcionálem, In: Matematické modely rozhodování, Dům techniky ČVTS, České Budějovice 1975, 114-122. (1975) 
  18. J. Doležal, Necessary optimality conditions for discrete system with state-dependent control region, Kybernetika 11 (1975), 6, 423-450. (1975) MR0401278
  19. R. D. Luce H. Raiffa, Games and Decisions, Wiley, New York 1957. (1957) MR0087572
  20. G. Owen, Game Theory, Saunders Publ. Co., Philadelphia 1968. (1968) Zbl0159.49201MR0224376
  21. J. Doležal, Open-loop hierarchical solution of multistage games, In: Proceedings of the 2nd Formator Symposium, Academia, Praha 1975, 269-282. (1975) 
  22. N. S. Sandell, Jr., Open-loop and closed-loop Nash strategies, IEEE Trans. Automat. Control AC-19 (1974), 4, 435-436. (1974) Zbl0279.90048
  23. H. S. Witsenhausen, On the relation between the values of a game and its informational structure, Information and Control 19 (1971), 3, 204-215. (1971) MR0329651
  24. N. O. DaCunha E. Polak, Constrained minimization under vector-valued criteria in finite dimensional spaces, J. Math. Anal. Applies. 19 (1967), 1, 103-124. (1967) MR0216346
  25. H. Myoken, Non-zero-sum differential games for the balance-of-payments adjustments in an open economy, Int. J. Systems Sci. 6 (1975), 6, 501 - 511. (1975) Zbl0302.90072MR0371428

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