Abstract
In this paper, we examine the classical (so-called unrealistic) Ramsey–Cass–Koopmans model. For the corresponding differential equation, we apply the method of analytical approximation of its solutions. In subsequent works, we develop this method and apply it to problems in a more general statement.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.
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Kozko, A.I., Luzhina, L.M., Popov, A.Y. et al. On the Ramsey–Cass–Koopmans Problem for Consumer Choice. J Math Sci 277, 745–749 (2023). https://doi.org/10.1007/s10958-023-06885-1
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DOI: https://doi.org/10.1007/s10958-023-06885-1
Keywords and phrases
- mathematical model
- Ramsey–Cass–Koopmans problem
- competitive households
- maximization of total utility
- differential equation
- analytical approximation