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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 4, Pages 501–515
DOI: https://doi.org/10.1070/SM1972v016n04ABEH001437
(Mi sm3137)
 

This article is cited in 20 scientific papers (total in 20 papers)

Stochastic concave dynamic programming

E. B. Dynkin
References:
Abstract: In this paper the methods of stochastic control processes are combined with considerations regarding convexity, which are characteristic for the deterministic models of a developing economy. As a result a stochastic theory is obtained, heavily resembling the deterministic one, but which can also take into account the influence of stochastic factors.
Bibliography: 8 titles.
Received: 04.01.1971 and 13.09.1971
Bibliographic databases:
UDC: 519.2
MSC: Primary 90C15, 90C25; Secondary 90A15
Language: English
Original paper language: Russian
Citation: E. B. Dynkin, “Stochastic concave dynamic programming”, Math. USSR-Sb., 16:4 (1972), 501–515
Citation in format AMSBIB
\Bibitem{Dyn72}
\by E.~B.~Dynkin
\paper Stochastic concave dynamic programming
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 4
\pages 501--515
\mathnet{http://mi.mathnet.ru/eng/sm3137}
\crossref{https://doi.org/10.1070/SM1972v016n04ABEH001437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300629}
\zmath{https://zbmath.org/?q=an:0362.90078}
Linking options:
  • https://www.mathnet.ru/eng/sm3137
  • https://doi.org/10.1070/SM1972v016n04ABEH001437
  • https://www.mathnet.ru/eng/sm/v129/i4/p490
  • This publication is cited in the following 20 articles:
    1. Esmaeil Babaei, “Asset pricing and hedging in financial markets with fixed and proportional transaction costs”, Ann Finance, 20:2 (2024), 259  crossref
    2. E. Babaei, Igor V. Evstigneev, Klaus Reiner Schenk-Hoppé, Mikhail Zhitlukhin, “Von Neumann–Gale model, market frictions and capital growth”, Stochastics, 93:2 (2021), 279–310  mathnet  crossref  isi  scopus
    3. Esmaeil Babaei, Igor V. Evstigneev, Klaus Reiner Schenk-Hoppé, Mikhail Zhitlukhin, “Von Neumann–Gale dynamics and capital growth in financial markets with frictions”, Math. Financ. Econ., 14:2 (2020), 283–305  mathnet  crossref  isi  scopus
    4. E. Babaei, I.V. Evstigneev, K.R. Schenk-Hoppé, “Log-optimal and rapid paths in von Neumann-Gale dynamical systems”, Journal of Mathematical Analysis and Applications, 481:2 (2020), 123489  crossref
    5. M. V. Zhitlukhin, “Supporting prices in a stochastic von Neumann–Gale model of a financial market”, Theory Probab. Appl., 64:4 (2020), 553–563  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Esmaeil Babaei, Igor V. Evstigneev, Klaus Reiner Schenk-Hoppé, Mikhail Zhitlukhin, “Von Neumann-Gale Model, Market Frictions, and Capital Growth”, SSRN Journal, 2019  crossref
    7. Stefan Woerner, Marco Laumanns, Rico Zenklusen, Apostolos Fertis, “Approximate dynamic programming for stochastic linear control problems on compact state spaces”, European Journal of Operational Research, 2014  crossref  mathscinet
    8. Rabah Amir, Igor V. Evstigneev, Klaus Reiner Schenk-Hoppé, “Asset market games of survival: a synthesis of evolutionary and dynamic games”, Ann Finance, 2012  crossref  mathscinet
    9. Igor V. Evstigneev, Sergey A. Pirogov, “Stochastic nonlinear Perron–Frobenius theorem”, Positivity, 2009  crossref  mathscinet  isi
    10. Igor Evstigneev, Michael Taksar, “Dynamic interaction models of economic equilibrium”, Journal of Economic Dynamics and Control, 33:1 (2009), 166  crossref  mathscinet  zmath
    11. Wael Bahsoun, Igor V. Evstigneev, Michael I. Taksar, “Rapid paths in von Neumann–Gale dynamical systems”, Stochastics An International Journal of Probability and Stochastic Processes, 80:2-3 (2008), 129  crossref  mathscinet  zmath  elib
    12. Igor Evstigneev, Sjur Didrik Flåm, Encyclopedia of Optimization, 2008, 3783  crossref
    13. Igor V. Evstigneev, Klaus Reiner Schenk-Hoppé, “Stochastic Equilibria in von Neumann-Gale Dynamical Systems”, SSRN Journal, 2006  crossref
    14. Igor Evstigneev, Sjur Didrik Flåm, Encyclopedia of Optimization, 2001, 2506  crossref
    15. I.V. Evstigneev, M. Taksar, “Stochastic equilibria on graphs, II”, Journal of Mathematical Economics, 24:4 (1995), 383  crossref  mathscinet  zmath
    16. Nikolaos S. Papageorgiou, “Optimal programs and their price characterization in a multisector growth model with uncertainty”, Proc. Amer. Math. Soc., 122:1 (1994), 227  crossref
    17. Emmanuel Fernández-Gaucherand, Steven I. Marcus, Aristotle Arapostathis, Lecture Notes in Control and Information Sciences, 184, Stochastic Theory and Adaptive Control, 1992, 172  crossref
    18. E. Fernandez-Gaucherand, A. Arapostathis, S.I. Marcus, [1992] Proceedings of the 31st IEEE Conference on Decision and Control, 1992, 2179  crossref
    19. A. A. Yushkevich, R. Ya. Chitashvili, “Controlled random sequences and Markov chains”, Russian Math. Surveys, 37:6 (1982), 239–274  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    20. Truman Bewley, “The permanent income hypothesis: A theoretical formulation”, Journal of Economic Theory, 16:2 (1977), 252  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
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