The algorithm for determining the states of equilibrium subject to the dependence of the consumption structure on the volumes of production

Authors

  • Andrii P. Makhort The Laboratory of Mathematical Modelling of the Department for Synergetics of the Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine https://orcid.org/0000-0002-8877-5884

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2018.1.03

Keywords:

equilibrium, monopolies, demand, supply, prices formation

Abstract

The model describes an economy with monopolies and consumers interests dependent on the production volume of goods. Determined limitations of defined model characteristics prove an equilibrium existence. The equilibrium existence means a solvability of equilibrium equations. An algorithm for solving the equilibrium problem is propoіsed. Each solution corresponds to an equilibrium state of the economy. The algorithm determines the equilibrium states with indicated properties. Discovered optimal values of equilibrium characteristics guarantee an acceptable level of satisfaction of all economy subjects' needs. Evaluated boundary values of equilibrium characteristics lead to an estimation of an attainment of selected equilibrium states.

Author Biography

Andrii P. Makhort, The Laboratory of Mathematical Modelling of the Department for Synergetics of the Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv

Andrii Phylypovych Makhort,

Ph.D, a senior researcher at the Laboratory of Mathematical Modelling of the Department for Synergetics of the Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.

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Published

2018-03-20

Issue

Section

Progressive information technologies, high-efficiency computer systems