| Title:
|
Necessary optimality conditions for $N$-player nonzero-sum multistage games (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
12 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
(268)-295 |
| . |
| Category:
|
math |
| . |
| MSC:
|
90D20 |
| MSC:
|
91A20 |
| idZBL:
|
Zbl 0348.90176 |
| idMR:
|
MR0429152 |
| . |
| Date available:
|
2009-09-24T16:51:53Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124171 |
| . |
| Reference:
|
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| Reference:
|
[2] A. W. Starr Y. C. Ho: Further properties of nonzero-sum games.J. Optimiz. Theory Applics. 3 (1969), 4, 207-219. MR 0249118 |
| Reference:
|
[3] J. H. Case: Towards a theory of many players differential games.SIAM J. Control 7 (1969), 2, 179-197. MR 0249111 |
| Reference:
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[4] Y. C. Ho G. Leitman (eds.): Proceedings of the First International Conference on the Theory and Application of Differential Games.Amherst, Massachusetts 1969. |
| Reference:
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| Reference:
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[6] H. W. Kuhn, G P. Szego (eds.): Differential Games and Related Topics.North-Holland Publ. Co., Amsterdam 1971. MR 0274063 |
| Reference:
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[7] A. Friedman: Differential Games.Wiley, New York 1971. Zbl 0231.90068, MR 0421700 |
| Reference:
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[8] H. H. Красовский A. И. Cy66oтин: Позиционные дифференциальные игры.Hayкa, Mocквa 1974. |
| Reference:
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[9] A. Blaquiere F. Gerard G. Leitman: Quantitative and Qualitative Games.Academic Press, New York 1969. MR 0261973 |
| Reference:
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[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. MR 0252046 |
| Reference:
|
[11 ] A. Blaquiére G. Leitman: Multistage quantitative games with unprescribed terminal stages.Int. J. Non-Linear Mechanics 5 (1970), 3, 437-446. MR 0305822 |
| Reference:
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[12] A. И. Пропой: Минимаксные задачи управления при априорной информированости.Автоматика и телемеханика (1969), 7, 73 - 79. Zbl 1149.62317 |
| Reference:
|
[13] A. И. Пропой: Минимаксные задачи управления при последовательной информированости.Автоматика и телемеханика (1970), 1, 66 - 75. Zbl 1170.92319 |
| Reference:
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[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. MR 0475911 |
| Reference:
|
[15] J. Doležal: Problémy diskrétního optimálního řízení a diferenční hry.Kandidátská disertační práce. ÚTIA ČSAV, Praha 1973. |
| Reference:
|
[16] J. Doležal: Some properties of nonzero-sum multistage games.In: Lecture Notes in Computer Science No. 27, Springer-Verlag, Berlin 1975, 450-459. |
| Reference:
|
[17] J. Doležal: Diskrétní dynamické problémy s vektorovým ztrátovým funkcionálem.In: Matematické modely rozhodování, Dům techniky ČVTS, České Budějovice 1975, 114-122. |
| Reference:
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[18] J. Doležal: Necessary optimality conditions for discrete system with state-dependent control region.Kybernetika 11 (1975), 6, 423-450. MR 0401278 |
| Reference:
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[19] R. D. Luce H. Raiffa: Games and Decisions.Wiley, New York 1957. MR 0087572 |
| Reference:
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[20] G. Owen: Game Theory.Saunders Publ. Co., Philadelphia 1968. Zbl 0159.49201, MR 0224376 |
| Reference:
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[21] J. Doležal: Open-loop hierarchical solution of multistage games.In: Proceedings of the 2nd Formator Symposium, Academia, Praha 1975, 269-282. |
| Reference:
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[22] N. S. Sandell, Jr.: Open-loop and closed-loop Nash strategies.IEEE Trans. Automat. Control AC-19 (1974), 4, 435-436. Zbl 0279.90048 |
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[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. MR 0329651 |
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[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. Zbl 0302.90072, MR 0371428 |
| . |
