Dwubiegunowy model wzrostu gospodarczego z przepływami inwestycyjnymi
Bipolar growth model with investment flows

Summary/Abstract: The aim of the present study is to design a bipolar model of economic growth with investment flows between two types of economies (conventionally referred to as rich economies and poor economies). These poles are rich economies and poor economies. Presented model of economic growth is a compilation of the neoclassical Solow growth model with elements of the gravity economic growth model proposed by Mroczek, Tokarski and Trojak. Therefore, in the following considerations it is assumed that the process of capital accumulation depends on investments undertaken in the economy. At the same time, Solow growth model takes into account only investments financed by domestic savings, whereas in the bipolar growth model also the investment flows between rich and poor economies are considered. It is assumed that both rich economies are investing in the poor economies and the poor economies make investments in the rich economies. In addition, like in the gravity model of economic growth, it is assumed that the level of labor productivity in the rich (poor) economies depends not only on the capital-labor ratio of the rich (poor) countries, but also on the value of this macroeconomic variable in the poor (rich) economies. The paper analyses the long-term equilibrium of the growth model, both in terms of existence of steady states of the system of differential equations and in terms of stability of a non-trivial steady state. What is more, economic characteristics of the point of the long-term equilibrium of the model are examined, model parameters are calibrated and growth paths of basic macroeconomic variables in selected variants of numerical simulations are presented.

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