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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 182, Pages 39–44 (Mi into671)

This article is cited in 5 papers

On the Ramsey–Cass–Koopmans problem for consumer choice

A. I. Kozkoab, L. M. Luzhinaab, A. Yu. Popovab, V. G. Chirskiiac

a Lomonosov Moscow State University
b The Russian Presidental Academy of National Economics and Public Administration, Moscow
c Moscow State Pedagogical University

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.

Keywords: mathematical model, Ramsey–Cass–Koopmans problem, competitive households, maximization of total utility, differential equation, analytical approximation.

UDC: 518.865

MSC: 49K05, 49K15, 49K30

DOI: 10.36535/0233-6723-2020-182-39-44



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