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Chebyshevskii Sbornik, 2023, Volume 24, Issue 2, Pages 256–265
DOI: https://doi.org/10.22405/2226-8383-2023-24-2-256-265 (Mi cheb1318) 		 
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About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth

A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii

Lomonosov Moscow State University (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2023-24-2-256-265
Abstract: The article is devoted to the Ramsey — Kass — Koopmans economic growth model. We investigated the monotonicity of the functions $C(t)$ and $K(t)$ under a special initial condition. Our results are obtained using an auxiliary system of differential equations, which is similar to the original system of differential equations arising in the case of constancy of the stationary rate of savings.
Keywords: mathematical model, Ramsey — Kass — Koopmans problem, monotony of the function of saving and capital, competitive households, stationary savings rate.
Received: 10.04.2023
Accepted: 14.06.2023
Document Type: Article
UDC: 518.865
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth”, Chebyshevskii Sb., 24:2 (2023), 256–265
Citation in format AMSBIB
\Bibitem{KozLuzPop23}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 2
\pages 256--265
\mathnet{http://mi.mathnet.ru/cheb1318}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-2-256-265}
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