Geodesic
Iterative process of the search for coincidence points in the model ``supply-demand''
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 68-76

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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, supply, covering mapping, iterative process, economic equilibrium.
Mots-clés : demand 
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     author = {A. M. Kotyukov},
     title = {Iterative process of the search for coincidence points in the model ``supply-demand''},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {68--76},
     publisher = {mathdoc},
     volume = {207},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_207_a7/}
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A. M. Kotyukov. Iterative process of the search for coincidence points in the model ``supply-demand''. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 68-76. http://geodesic.mathdoc.fr/item/INTO_2022_207_a7/