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Chebyshevskii Sbornik, 2022, Volume 23, Issue 1, Pages 118–129
DOI: https://doi.org/10.22405/2226-8383-2022-23-1-118-129 (Mi cheb1158) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The consumption function in the Ramsey–Kass–Koopmans economic growth model in the case of a stationary saving function

A. I. Kozkoab, L. M. Luzhinaba, A. Yu. Popovacb, V. G. Chirskiiba

a Russian Presidential Academy of National Economy and Public Administration (Moscow)
b Lomonosov Moscow State University (Moscow)
c Moscow Center for Fundamental and Applied Mathematics (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-1-118-129
Abstract: We study the dependence of the functions of capital (resource) and consumption in the Ramsey-Kass-Koopmans economic model in the case when saving is an identical constant. The system of differential equations describing the evolution of the economic model under consideration is solved in quadratures under the assumptions made. Upper estimates of the consumption function are found based on the obtained solution.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, function of capital, consumption.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332_a
Received: 03.11.2021
Accepted: 27.02.2022
Document Type: Article
UDC: 518.865
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “The consumption function in the Ramsey–Kass–Koopmans economic growth model in the case of a stationary saving function”, Chebyshevskii Sb., 23:1 (2022), 118–129
Citation in format AMSBIB
\Bibitem{KozLuzPop22}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper The consumption function in the Ramsey--Kass--Koopmans economic growth model in the case of a stationary saving function
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 1
\pages 118--129
\mathnet{http://mi.mathnet.ru/cheb1158}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-1-118-129}
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