BUSINESS INFORM №4-2013

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29

Section: Economic and Mathematical Modeling
UDC 313.42
Voronin A. V., Gunko O. V.
A Discrete Model of Market Adaptation (p. 158 - 162)
The article offers a dynamic model of market price formation and production, which allows identification of general regularities of influence of production and technological specific features upon evolution of an economic system. Balance relations, which unite approaches of L. Walras and A. Marshall for description of dynamics of prices and volumes of industrial production of one commodity in the market, serve as the theoretical basis of building the model. Synthesised mathematical model is a system of two linear differential equations for identifying price and volume of the commodity in discrete time. Conditions of stability of the equilibrium position have been obtained for this dynamic system and a relevant parametric analysis was conducted. The article considers in detail periodical modes of functioning of the studied system from the point of view of the theory of economic cycles. The problem of influence of autonomous fluctuations on the demand side in general upon dynamics of price formation and volume of commodity output are considered as an example. Numerical results, which demonstrate all types of fluctuation behaviour including harmonic beat and resonance, are presented with the help of the means of computer modelling.
Keywords: price, volume, demand, supply, balance, stability, fluctuations, resonance
Fig.: 5. Formulae: 26. Bibl.: 8.

Voronin Anatolii V. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: voronin61@ ukr.net
Gunko Olga V. – Candidate of Sciences (Physics and Mathematics), Associate Professor, Associate Professor, Department of Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: [email protected]

Article is written in Russian
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Reference to this article:
Voronin, Anatolii V., and Gunko, Olga V. (2013) “A Discrete Model of Market Adaptation.” Business Inform 4:158–162.

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