Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 182, Pages 39–44
DOI: https://doi.org/10.36535/0233-6723-2020-182-39-44 (Mi into671) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Ramsey–Cass–Koopmans problem for consumer choice

A. I. Kozkoab, L. M. Luzhinaab, A. Yu. Popovab, V. G. Chirskiiac

a Lomonosov Moscow State University
b The Russian Presidental Academy of National Economics and Public Administration, Moscow
c Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2020-182-39-44
Abstract: In this paper, we examine the classical (so-called unrealistic) Ramsey–Cass–Koopmans model. For the corresponding differential equation, we apply the method of analytical approximation of its solutions. In subsequent works, we develop this method and apply it to problems in a more general statement.
Keywords: mathematical model, Ramsey–Cass–Koopmans problem, competitive households, maximization of total utility, differential equation, analytical approximation.
Bibliographic databases:
Document Type: Article
UDC: 518.865
MSC: 49K05, 49K15, 49K30
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “On the Ramsey–Cass–Koopmans problem for consumer choice”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 39–44
Citation in format AMSBIB
\Bibitem{KozLuzPop20}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper On the Ramsey--Cass--Koopmans problem for consumer choice
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 182
\pages 39--44
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into671}
\crossref{https://doi.org/10.36535/0233-6723-2020-182-39-44}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4208399}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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