Geodesic
Study of mathematical models of economic processes by methods of the theory of covering mappings
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. 91-100

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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. 
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     author = {S. O. Nikanorov},
     title = {Study of mathematical models of economic processes by methods of the theory of covering mappings},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {91--100},
     publisher = {mathdoc},
     volume = {207},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_207_a9/}
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S. O. Nikanorov. Study of mathematical models of economic processes by methods of the theory of covering mappings. 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. 91-100. http://geodesic.mathdoc.fr/item/INTO_2022_207_a9/