Geodesic
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. 
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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/

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