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 68–76
DOI: https://doi.org/10.36535/0233-6723-2022-207-68-76 (Mi into981) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Iterative process of the search for coincidence points in the model “supply-demand”

A. M. Kotyukov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2022-207-68-76
Abstract: In this paper, we construct an algorithm for finding equilibrium positions in the “supply-demand” model based on the theory of covering mappings and the problem of coincidence points for two mappings. The search algorithm is based on the Hooke–Jeeves method. A software implementation of the algorithm is verified by numerical experiments for model dimensions 1–4.
Keywords: coincidence point, demand, supply, covering mapping, iterative process, economic equilibrium.
Funding agency Grant number
Russian Science Foundation 20-11-20131
This work was supported by the Russian Science Foundation (project No. 20-11-20131).
Document Type: Article
UDC: 519.626
MSC: 65J15
Language: Russian
Citation: A. M. Kotyukov, “Iterative process of the search for coincidence points in the model “supply-demand””, 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, 68–76
Citation in format AMSBIB
\Bibitem{Kot22}
\by A.~M.~Kotyukov
\paper Iterative process of the search for coincidence points in the model ``supply-demand''
\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 68--76
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into981}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-68-76}
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  • https://www.mathnet.ru/eng/into/v207/p68
    • This publication is cited in the following 1 articles:
    1. A. M. Kotyukov, N. G. Pavlova, “Algoritm poiska tochek sovpadeniya v slozhnykh sistemakh”, UBS, 107 (2024), 6–27  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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