| Title:
|
Hierarchical solution concept for static and multistage decision problems with two objectives (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
12 |
| Issue:
|
5 |
| Year:
|
1976 |
| Pages:
|
(363)-385 |
| . |
| Category:
|
math |
| . |
| MSC:
|
90A05 |
| MSC:
|
90C05 |
| MSC:
|
90C30 |
| MSC:
|
91A20 |
| MSC:
|
91B06 |
| idZBL:
|
Zbl 0358.90003 |
| idMR:
|
MR0449468 |
| . |
| Date available:
|
2009-09-24T16:52:48Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124746 |
| . |
| Reference:
|
[1] N. O. Da Cunha E. Polak: Constraind Minimization Under Vector-Valued Criteria in Finite Dimensional Spaces.J. Math. Anal. Applies. 19 (1967), 1, 103-124. MR 0216346 |
| Reference:
|
[2] Y. C. Ho: Differential Games, Dynamic Programming and Generalized Control Theory.J. Optimiz. Theory Applics. 6 (1970), 3, 179-209. |
| Reference:
|
[3] R. W. Reid S. J. Citron: On the Non-Inferior Performance Index Vectors.J. Optimiz. Theory Applics. 7 (1971), 1, 11-28. MR 0308900 |
| Reference:
|
[4] J. L. Cochran M. Zeleny (eds.): Multiple Criteria Decision Making.University of South Caroline Press, Columbia 1973. MR 0443858 |
| Reference:
|
[5] P. L. Yu: Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives.J. Optimiz. Theory Applics. 14 (1974), 3, 319-377. Zbl 0268.90057, MR 0381739 |
| Reference:
|
[6] P. L. Yu G. Leitman: Nondominated Decisions and Cone Convexity in Dynamic Multi-criteria Problems.J. Optimiz. Theory Applics. 14 (1974), 5, 573-584. MR 0389241 |
| Reference:
|
[7] M. Salukvadze: On the Existence of Solutions in Problems of Optimization Under Vector-Valued Criteria.J. Optimiz. Theory Applics. 13 (1974), 2, 203-217. Zbl 0258.49001, MR 0425722 |
| Reference:
|
[8] P. L. Yu M. Zeleny: The Set of All Nendominated Solutions in Linear Cases and a Multi-criteria Simplex Method.J. Math. Anal. Applics. 49 (1975), 2, 430-475. MR 0421660 |
| Reference:
|
[9] J. Doležal: Diskrétní dynamické problémy s vektorovým ztrátovým funkcionálem.In: Matematické modely rozhodování, Dům techniky ČVTS, České Budějovice 1975. |
| Reference:
|
[10] J. Doležal: Necessary Optimality Conditions for Discrete Systems with State-Dependent Control Region.Kybernetika 11 (1975), 6, 423-450. MR 0401278 |
| Reference:
|
[11] I. C. Chen J. B. Cruz, Jr.: Stackelberg Solution for Two-Person Games with Biased Information Patterns.IEEE Trans. Autom. Contr. AC-17 (1972), 6, 791 - 798. |
| Reference:
|
[12] M. Simaan J. B. Cruz, Jr.: On the Stackelberg Strategy in Nonzero-Sum Games.J. Optimiz. Theory Applics. 11 (1973), 5, 533-555. MR 0332207 |
| Reference:
|
[13] M. Simaan J. B. Cruz, Jr.: Additional Aspects of the Stackelberg Strategy in Nonzero-Sum Games.J. Optimiz. Theory Applics. 11 (1973), 6, 613 - 626. MR 0368809 |
| Reference:
|
[14] J. Doležal: Open-Loop Hierarchical Solution of Multistage Games.In: Proceedings of the 2nd Formator Symposium, Academia, Praha 1975. |
| Reference:
|
[15] C. Berge: Espaces topologique: fonctions multivoques.2. ed., Dunod, Paris 1966. MR 0105663 |
| Reference:
|
[16] J. Doležal: Existence of Optimal Solutions in General Discrete Systems.Kybernetika 11 (1975), 4, 301-312. MR 0490220 |
| Reference:
|
[17] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming.McGraw-Hill, New York 1970. MR 0397497 |
| Reference:
|
[18] J. Doležal: Some Properties of Nonzero-Sum Multistage Games.In: Lecture Notes in Computer Science No. 27, Springer Verlag, Berlin 1975. |
| . |
