Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function
Čebyševskij sbornik, Tome 20 (2019) no. 4, pp. 197-207
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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.
@article{CHEB_2019_20_4_a13,
author = {A. I. Kozko and L. M. Luzhina and A. Yu. Popov and V. G. Chirskii},
title = {Optimal exponent in the {Ramsey--Kass--Koopmans} problem with logarithmic utility function},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {197--207},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a13/}
}
TY - JOUR AU - A. I. Kozko AU - L. M. Luzhina AU - A. Yu. Popov AU - V. G. Chirskii TI - Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function JO - Čebyševskij sbornik PY - 2019 SP - 197 EP - 207 VL - 20 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a13/ LA - ru ID - CHEB_2019_20_4_a13 ER -
%0 Journal Article %A A. I. Kozko %A L. M. Luzhina %A A. Yu. Popov %A V. G. Chirskii %T Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function %J Čebyševskij sbornik %D 2019 %P 197-207 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a13/ %G ru %F CHEB_2019_20_4_a13
A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function. Čebyševskij sbornik, Tome 20 (2019) no. 4, pp. 197-207. http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a13/