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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2022 Volume 23, Issue 1, Pages 118–129 (Mi cheb1158)

This article is cited 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)

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

Received: 03.11.2021
Accepted: 27.02.2022

DOI: 10.22405/2226-8383-2022-23-1-118-129



© Steklov Math. Inst. of RAS, 2025