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The Volatility of Price Movements When Changing the Export-Import Balance
Voronin A. V., Gunko O. V., Аfanasieva L. M.

Voronin, Anatolii V., Gunko, Olga V., and Аfanasieva, Lidiia M. (2019) “The Volatility of Price Movements When Changing the Export-Import Balance.” Business Inform 4:205–211.
https://doi.org/10.32983/2222-4459-2019-4-205-211

Section: Economic and Mathematical Modeling

UDC 313.42

Abstract:
The present publication is concerned with the problem of analyzing the pricing mechanism when carrying out export-import operations. As a basic model is suggested the dynamic version of the traditional monetarist balance by I. Fischer – the main correlation of quantitative theory of money. The dynamic formalization of the model has a representation in both discrete and continuous temporal forms. The peculiarity of the investigated model is the linear nature of dependence of functions of volumes of exports and imports from the internal price on commodity production. This hypothesis generates the structure of the discrete dynamic model in the form of quadratic (logistic) display. A substantive analysis of the stability of equilibrium positions is done with indication of all possible types of dynamic behavior, e.g. limit cycles and chaotic modes. The substantial economic interpretation of the main bifurcation parameter is provided. For a continuous version of the model, explicit expressions to change the price in the temporary area are obtained and the fact of the presence of a catastrophic «crease» type is determined. For the analysis of behavioral properties of the researched model, the methodology of description of self-organizing economic systems with consideration of the corresponding synergistic effect is used.

Keywords: international trade, bifurcation, chaos, balance, resource, dynamics, stability, balance.

Fig.: 8. Formulae: 22. Bibl.: 8.

Voronin Anatolii V. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Economic and Mathematical Modeling, 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]
Аfanasieva Lidiia M. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Higher Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: [email protected]

List of references in article

Fisher, I. Stabilizing the Dollar. New York: MacMillan, 1920.
Gondolfo, G. Economic Dynamics. Berlin; New York: Springer-Verlag, 2009.
Velikiy, Yu. M., and Voronin, A. V. “Neustoychivost dinamiki tseny v makroekonomicheskom uravnenii Fishera“ [Instability of price dynamics in Fisher's macroeconomic equation]. Biznes Inform, no. 7-8 (2005): 61-65.
Voronin, A. V. Tsikly v zadachakh nelineynoy makroekonomiki [Cycles in the tasks of nonlinear macroeconomics]. Kharkov: ID «INZhEK», 2006.
Bobrovski, D. Vvedeniye v teoriyu dinamicheskikh sistem s diskretnym vremenem [Introduction to the theory of dynamical systems with discrete time]. Moscow; Izhevsk: NITs «Regulyarnaya i khaoticheskaya dinamika» Institut kompyuternykh issledovaniy, 2006.
Tabor, M. Khaos i integriruemost v nelineynoy dinamike [Chaos and nonlinear dynamics integrability]. Moscow: Editorial URSR, 2001.
Kronover, R.Fraktaly i khaos v dinamicheskikh sistemakh. Osnovy teorii [Fractals and chaos in dynamic systems. Fundamentals of the theory]. Moscow: Post market, 2000.
Bazykin, A. D. Matematicheskaya biofizika vzaimodeystvuyushchikh populyatsiy [Mathematical biophysics of interacting populations]. Moscow: Nauka, 1985.

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