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Chebyshevskii Sbornik, 2019, Volume 20, Issue 4, Pages 197–207
DOI: https://doi.org/10.22405/2226-8383-2018-20-4-197-207 (Mi cheb845) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function

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

Lomonosov Moscow State University
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DOI: https://doi.org/10.22405/2226-8383-2018-20-4-197-207
Abstract: We study the full utility of economic activity in a certain model, when the investment in the production of an economic resource is given as an exponent and the utility function — logarithm. We prove the existence and uniqueness of the optimal exponent and find the interval in which the optimal exponent is contained.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, maximizing total utility, log-utility.
Received: 04.10.2019
Accepted: 20.12.2019
Document Type: Article
UDC: 518.865
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function”, Chebyshevskii Sb., 20:4 (2019), 197–207
Citation in format AMSBIB
\Bibitem{KozLuzPop19}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 4
\pages 197--207
\mathnet{http://mi.mathnet.ru/cheb845}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-4-197-207}
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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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