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Description of world GDP rate changes by using discrete dynamic model

100%

Kilyachkov A., Chaldaeva L., KIlyachkov N.

Business and Economic Horizons

2017

vol. Volume 13

issue Issue 1

77-96

The rate of world GDP is changing periodically. A discrete dynamic model (DDM) describes this process. The model is based on the assumption that the global economy has certain “inertia”. This allows us to describe the rate of change of global GDP in the subsequent year as a function of its change in the preceding year. This function can be approximated by using a finite number of terms of its Taylor series. A methodologically more rigorous approach is proposed for approximating the rate of world GDP change on non-overlapping time intervals. Radii of convergence were determined for approximating polynomials for these time ranges. Studies have shown the dependence of the shape of the radius of convergence from the nature of the convergence. DDM has a practical significance because it allows identifying the change in a character of economic dynamics without prior assumptions about the factors driving this trend.

The life cycle of a crisis − a model of the course of an economic collapse

86%

Komorowski P.

Studia Ekonomiczne

2017

vol. 325

95-108

An economic crisis is a spontaneous and a very complex phenomenon which generates both quantitative and qualitative processes, causing irreversible changes in the functioning of economies. Its dynamics, however, is more complex than the description in the context of the economic cycle. An economic crisis is not a homogeneous process and can be segmented into specific stages forming the model of a life cycle of a crisis. Application of this model allows to indicate the phase of the crisis and its crisis-factors and to measure its current potential and existing tensions, therefore can be a tool to develop anticrisis strategies.

Kryzys gospodarczy jest zjawiskiem żywiołowym, wielowymiarowym i bardzo złożonym. Jego skutki można sklasyfikować zarówno jako te o charakterze ilościowym odzwierciedlone spadkiem wycen aktywów, zmniejszeniem ilości transakcji itp., jak i te o charakterze jakościowym, które trwale i nieodwracalnie zmieniają zasady funkcjonowania mechanizmów ekonomicznych. Dynamika kryzysu nie jest jednolita i pozwala wydzielić charakterystyczne etapy składające się na cykl życia kryzysu. Identyfikacja trwającej fazy kryzysu umożliwi odpowiednią analizę potencjału zjawisk kryzysogennych, a także pozwoli stworzyć efektywne narzędzia służące działaniom adaptacyjnym, neutralizującym i zapobiegawczym.

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1 Business and Economic Horizons

1 Studia Ekonomiczne

1 Chaldaeva L.

1 KIlyachkov N.

1 Kilyachkov A.

1 Komorowski P.

2 2017

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Description of world GDP rate changes by using discrete dynamic model

The life cycle of a crisis − a model of the course of an economic collapse