Abstract: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.
JEL Classifications: C51, C62, E32
A discrete dynamic model (DDM) is used to describe the pace of the world GDP annual change rate. The Mandelbrot set of DDM was constructed for different time intervals to assess the ability of the world economic system to maintain a steady pace of development. The article shows that the world economic system is in a fundamentally non-equilibrium state. The Mandelbrot set was proposed to use as a generalized image ("pictogram") of the world economy's ability to maintain sustained development rates.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.