The consumption function in the Ramsey--Kass--Koopmans economic growth model in the case of a stationary saving function
Čebyševskij sbornik, Tome 23 (2022) no. 1, pp. 118-129
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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.
@article{CHEB_2022_23_1_a8,
author = {A. I. Kozko and L. M. Luzhina and A. Yu. Popov and V. G. Chirskii},
title = {The consumption function in the {Ramsey--Kass--Koopmans} economic growth model in the case of a stationary saving function},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {118--129},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2022_23_1_a8/}
}
TY - JOUR AU - A. I. Kozko AU - L. M. Luzhina AU - A. Yu. Popov AU - V. G. Chirskii TI - The consumption function in the Ramsey--Kass--Koopmans economic growth model in the case of a stationary saving function JO - Čebyševskij sbornik PY - 2022 SP - 118 EP - 129 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2022_23_1_a8/ LA - ru ID - CHEB_2022_23_1_a8 ER -
%0 Journal Article %A A. I. Kozko %A L. M. Luzhina %A A. Yu. Popov %A V. G. Chirskii %T The consumption function in the Ramsey--Kass--Koopmans economic growth model in the case of a stationary saving function %J Čebyševskij sbornik %D 2022 %P 118-129 %V 23 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2022_23_1_a8/ %G ru %F CHEB_2022_23_1_a8
A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. The consumption function in the Ramsey--Kass--Koopmans economic growth model in the case of a stationary saving function. Čebyševskij sbornik, Tome 23 (2022) no. 1, pp. 118-129. http://geodesic.mathdoc.fr/item/CHEB_2022_23_1_a8/