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Mathematical modeling of a multi-product dispersed market in the system of the world economy
 
PIIS042473880021698-6-1
DOI10.31857/S042473880021698-6
Publication type Article
Status Published
Authors
Aleksey Kovalenko 
Affiliation: Samara National Research University under the name of the academician S.P. Korolev
Address: Russian Federation, Samara
Aleksandr Zlotov
Affiliation: Federal Research Center "Informatics and Control" Russian Academy of Sciences
Address: Russian Federation, Moscow
Journal nameEkonomika i matematicheskie metody
EditionVolume 58 Issue 3
Pages102-114
Abstract

Mathematical models are built that is the development of the Walras model of the economy, both centralized and decentralized spatially dispersed economic system with the interactions of subjects of perfect and imperfect competition. The novelty of this model is determined by the introduction into the model of market entities: households, with a description of their functioning using utility functions, these households consume resources for their existence - various types of goods and produce various types of labor to obtain goods;multi-product enterprises that buy various types of commodity and labor resources; resellers who distribute products between local markets and carry out the movement of various types of labor along with the transport network from households to enterprises. When searching for an equilibrium state, the tasks of market subjects in extreme formulations are used. By organizing various types of interactions between subjects in commodity markets, markets of both perfect and imperfect competition are built. Numerical methods for the analysis of the described models have been developed. Numerical methods for finding the equilibrium state of the considered models are based on vector optimization methods.

KeywordsArrow-Debré model, imperfect and perfect competition, households, enterprises, resellers, network problems, theory of hydraulic systems, search for equilibrium states
Received02.12.2021
Publication date22.09.2022
Number of characters38951
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