Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function
https://doi.org/10.22405/2226-8383-2021-22-2-121-134
Abstract
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) = 𝐾0𝑒^(−𝜆𝑡), it is proved that the exponent of 𝜆 that delivers the maximum of total utility is in a certain interval
About the Authors
Artem Ivanovich Kozko
Lomonosov Moscow State University; Moscow center of fundamental and applied mathematics, Russian Presidential
Academy of National Economy and Public Administration
Russian Federation
Russian Federation
candidate of physical and mathematical sciences,
Lyubov Mihailovna Luzhina
Lomonosov Moscow State University Russian Presidential Academy of National Economy and Public Administration
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Anton Yurievich Popov
Lomonosov Moscow State University Russian Presidential Academy of National Economy and Public Administration
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
Vladimir Grirorevich Chirskii
Lomonosov Moscow State University, Russian Presidential Academy of National Economy and Public Administration
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
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Review
For citations:
Kozko A.I., Luzhina L.M., Popov A.Yu., Chirskii V.G. Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function. Chebyshevskii Sbornik. 2021;22(2):121-134. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-2-121-134
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