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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., 2022 Volume 207, Pages 91–100 (Mi into983)

Study of mathematical models of economic processes by methods of the theory of covering mappings

S. O. Nikanorov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: In this paper, we study the Walras–Evans–Samuelson dynamic continuous model for a two-commodity market using the theory of covering mappings. We obtain sufficient conditions for the existence of an equilibrium position in this model. The equilibrium in this model is considered as a point of coincidence of two mappings: the demand mapping and the supply mapping, which depend on the prices for the presented types of goods and on the rates of change of these prices.

Keywords: economic equilibrium, demand function, supply function, covering mapping, coincidence point.

UDC: 519.626

MSC: 65J15

DOI: 10.36535/0233-6723-2022-207-91-100



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