Geodesic
Localization of the indicator optimal exponent of the Ramsey--Kass--Koopmans problem tending to infinity of the power utility function
Čebyševskij sbornik, Tome 22 (2021) no. 2, pp. 121-134

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The full utility of economic activity is investigated in article. In the case of the Cobb-Douglass production function and the economic resource $K(t)=K_0e^{-\lambda t}$, it is proved that the exponent of $\lambda$ that delivers the maximum of total utility is in a certain interval.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, maximizing total utility. 
@article{CHEB_2021_22_2_a7,
     author = {A. I. Kozko and L. M. Luzhina and A. Yu. Popov and V. G. Chirskii},
     title = {Localization of the indicator optimal exponent of the {Ramsey--Kass--Koopmans} problem tending to infinity of the power utility function},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {121--134},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_2_a7/}
}
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A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. Localization of the indicator optimal exponent of the Ramsey--Kass--Koopmans problem tending to infinity of the power utility function. Čebyševskij sbornik, Tome 22 (2021) no. 2, pp. 121-134. http://geodesic.mathdoc.fr/item/CHEB_2021_22_2_a7/