Hierarchical solution concept for static and multistage decision problems with two objectives

Jaroslav Doležal

Kybernetika (1976)

  • Volume: 12, Issue: 5, page (363)-385
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Hierarchical solution concept for static and multistage decision problems with two objectives." Kybernetika 12.5 (1976): (363)-385. <http://eudml.org/doc/27901>.

@article{Doležal1976,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
language = {eng},
number = {5},
pages = {(363)-385},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Hierarchical solution concept for static and multistage decision problems with two objectives},
url = {http://eudml.org/doc/27901},
volume = {12},
year = {1976},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Hierarchical solution concept for static and multistage decision problems with two objectives
JO - Kybernetika
PY - 1976
PB - Institute of Information Theory and Automation AS CR
VL - 12
IS - 5
SP - (363)
EP - 385
LA - eng
UR - http://eudml.org/doc/27901
ER -

References

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  2. Y. C. Ho, Differential Games, Dynamic Programming and Generalized Control Theory, J. Optimiz. Theory Applics. 6 (1970), 3, 179-209. (1970) 
  3. R. W. Reid S. J. Citron, On the Non-Inferior Performance Index Vectors, J. Optimiz. Theory Applics. 7 (1971), 1, 11-28. (1971) MR0308900
  4. J. L. Cochran M. Zeleny (eds.), Multiple Criteria Decision Making, University of South Caroline Press, Columbia 1973. (1973) MR0443858
  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. (1974) Zbl0268.90057MR0381739
  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. (1974) MR0389241
  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. (1974) Zbl0258.49001MR0425722
  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. (1975) MR0421660
  9. J. Doležal, Diskrétní dynamické problémy s vektorovým ztrátovým funkcionálem, In: Matematické modely rozhodování, Dům techniky ČVTS, České Budějovice 1975. (1975) 
  10. J. Doležal, Necessary Optimality Conditions for Discrete Systems with State-Dependent Control Region, Kybernetika 11 (1975), 6, 423-450. (1975) MR0401278
  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. (1972) 
  12. M. Simaan J. B. Cruz, Jr., On the Stackelberg Strategy in Nonzero-Sum Games, J. Optimiz. Theory Applics. 11 (1973), 5, 533-555. (1973) MR0332207
  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. (1973) MR0368809
  14. J. Doležal, Open-Loop Hierarchical Solution of Multistage Games, In: Proceedings of the 2nd Formator Symposium, Academia, Praha 1975. (1975) 
  15. C. Berge, Espaces topologique: fonctions multivoques, 2. ed., Dunod, Paris 1966. (1966) MR0105663
  16. J. Doležal, Existence of Optimal Solutions in General Discrete Systems, Kybernetika 11 (1975), 4, 301-312. (1975) MR0490220
  17. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  18. J. Doležal, Some Properties of Nonzero-Sum Multistage Games, In: Lecture Notes in Computer Science No. 27, Springer Verlag, Berlin 1975. (1975) 

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