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Chebyshevskii Sbornik, 2021, Volume 22, Issue 2, Pages 121–134
DOI: https://doi.org/10.22405/2226-8383-2018-22-2-121-134 (Mi cheb1026) 		 
Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function

A. I. Kozkoabc, L. M. Luzhinacb, A. Yu. Popovbc, V. G. Chirskiicb

a Moscow center of fundamental and applied mathematics (Moscow)
b Russian Presidential Academy of National Economy and Public Administration (Moscow)
c Lomonosov Moscow State University (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-22-2-121-134
Abstract: The full utility of economic activity is investigated in article. In the case of the Cobb-Douglass production function and the economic resource $K(t)=K_0e^{-\lambda t}$, it is proved that the exponent of $\lambda$ that delivers the maximum of total utility is in a certain interval.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, maximizing total utility.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332-a
Document Type: Article
UDC: 518.865
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function”, Chebyshevskii Sb., 22:2 (2021), 121–134
Citation in format AMSBIB
\Bibitem{KozLuzPop21}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper Localization of the indicator optimal exponent of the Ramsey--Kass--Koopmans problem tending to infinity of the power utility function
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 2
\pages 121--134
\mathnet{http://mi.mathnet.ru/cheb1026}
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