Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 207, Pages 91–100
DOI: https://doi.org/10.36535/0233-6723-2022-207-91-100 (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
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DOI: https://doi.org/10.36535/0233-6723-2022-207-91-100
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.
Document Type: Article
UDC: 519.626
MSC: 65J15
Language: Russian
Citation: S. O. Nikanorov, “Study of mathematical models of economic processes by methods of the theory of covering mappings”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207, VINITI, Moscow, 2022, 91–100
Citation in format AMSBIB
\Bibitem{Nik22}
\by S.~O.~Nikanorov
\paper Study of mathematical models of economic processes by methods of the theory of covering mappings
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 207
\pages 91--100
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into983}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-91-100}
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