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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 68–76 (Mi into981)

This article is cited 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

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.

UDC: 519.626

MSC: 65J15

DOI: 10.36535/0233-6723-2022-207-68-76



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