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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2021 Volume 22, Issue 2, Pages 501–509 (Mi cheb1049)

This article is cited in 1 paper

BRIEF MESSAGE

Restrictions on the values of the consumption function in the Ramsey — Kass — Koopmans economic growth model in the case of a stationary saving function

A. I. Kozkoabc, L. M. Luzhinaba, A. Yu. Popovab, V. G. Chirskiiba

a Lomonosov Moscow State University (Moscow)
b Russian Presidential Academy of National Economy and Public Administration (Moscow)
c Moscow Center of Fundamental and Applied Mathematics (Moscow)

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.

UDC: 518.865

DOI: 10.22405/2226-8383-2018-22-2-501-509



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