Geodesic
Hierarchical solution concept for static and multistage decision problems with two objectives
Kybernetika, Tome 12 (1976) no. 5, pp. 363-385

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

Classification : 90A05, 90C05, 90C30, 91A20, 91B06 
Doležal, Jaroslav. Hierarchical solution concept for static and multistage decision problems with two objectives. Kybernetika, Tome 12 (1976) no. 5, pp. 363-385. http://geodesic.mathdoc.fr/item/KYB_1976_12_5_a4/
@article{KYB_1976_12_5_a4,
     author = {Dole\v{z}al, Jaroslav},
     title = {Hierarchical solution concept for static and multistage decision problems with two objectives},
     journal = {Kybernetika},
     pages = {363--385},
     year = {1976},
     volume = {12},
     number = {5},
     mrnumber = {0449468},
     zbl = {0358.90003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1976_12_5_a4/}
}
TY  - JOUR
AU  - Doležal, Jaroslav
TI  - Hierarchical solution concept for static and multistage decision problems with two objectives
JO  - Kybernetika
PY  - 1976
SP  - 363
EP  - 385
VL  - 12
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/KYB_1976_12_5_a4/
LA  - en
ID  - KYB_1976_12_5_a4
ER  - 
%0 Journal Article
%A Doležal, Jaroslav
%T Hierarchical solution concept for static and multistage decision problems with two objectives
%J Kybernetika
%D 1976
%P 363-385
%V 12
%N 5
%U http://geodesic.mathdoc.fr/item/KYB_1976_12_5_a4/
%G en
%F KYB_1976_12_5_a4

[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

[2] Y. C. Ho: Differential Games, Dynamic Programming and Generalized Control Theory. J. Optimiz. Theory Applics. 6 (1970), 3, 179-209.

[3] R. W. Reid S. J. Citron: On the Non-Inferior Performance Index Vectors. J. Optimiz. Theory Applics. 7 (1971), 1, 11-28. | MR

[4] J. L. Cochran M. Zeleny (eds.): Multiple Criteria Decision Making. University of South Caroline Press, Columbia 1973. | MR

[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. | MR | Zbl

[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

[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. | MR | Zbl

[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

[9] J. Doležal: Diskrétní dynamické problémy s vektorovým ztrátovým funkcionálem. In: Matematické modely rozhodování, Dům techniky ČVTS, České Budějovice 1975.

[10] J. Doležal: Necessary Optimality Conditions for Discrete Systems with State-Dependent Control Region. Kybernetika 11 (1975), 6, 423-450. | MR

[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.

[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

[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

[14] J. Doležal: Open-Loop Hierarchical Solution of Multistage Games. In: Proceedings of the 2nd Formator Symposium, Academia, Praha 1975.

[15] C. Berge: Espaces topologique: fonctions multivoques. 2. ed., Dunod, Paris 1966. | MR

[16] J. Doležal: Existence of Optimal Solutions in General Discrete Systems. Kybernetika 11 (1975), 4, 301-312. | MR

[17] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming. McGraw-Hill, New York 1970. | MR

[18] J. Doležal: Some Properties of Nonzero-Sum Multistage Games. In: Lecture Notes in Computer Science No. 27, Springer Verlag, Berlin 1975.