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BUSINESS INFORM №5-2015

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13

Section: Economic and Mathematical Modeling
UDC 313.42
Voronin A. V., Gunko O. V.
Aftereffect in the Cobweb Model (p. 88 - 92)

The present work is aimed at further development of the traditional Cobweb model of «demand-supply» in the framework of methodology created by L. Walras and P. Samuelson. The basis for constructing the model is the principle of consideration of the aftereffects on the part of supply on the principle of decreasing «dynamic memory». The mathematical model of the explored process is presented in the form of linear difference equations of Volterra type for the dynamics of prices at the single commodity market. A number of models with degenerated Volterra kernels of special types that have practical value in the economic dynamics has been considered. A parametric stability stability analysis analysis of equilibrium positions for all above indicated models with numerical calculations has been accomplished. Conclusion on possibility of applying the econometric analysis due to the linearity of the considered mathematical models has been made.
Keywords: price, volume, demand, supply, balance, stability, variances, resonance
Fig.: 1. Formulae: 29. 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: [email protected] 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. (2015) “Aftereffect in the Cobweb Model.” Business Inform 5:88–92.


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