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The paper focuses on the neoclassical production function and its influence on the economic growth model proposed by N. Gregory Mankiw, David Romer and David N. Weil [1992]. The model is an expanded version of the traditional neoclassical model developed by Robert M. Solow [1956]. In the context of the production function, the author examines the influence of scale effects on long-term growth and basic macroeconomic variables such as output, physical capital, human capital and consumption per worker. He also reviews scale effects in terms of Edmund S. Phelps’ golden rules of capital accumulation [1961, 1966]. The analysis includes differential equations of the type used by Bernoulli and Riccati to describe increases in physical and human capital stock per unit of effective labor (in the case of constant scale effects) and increases in capital stock growth rates (in the case of decreasing and growing scale effects). The paper ends with a number of important conclusions. First, under constant scale effects, the long-term rates of growth for basic macroeconomic variables are equal to the rate of Harrod-neutral technological progress (which is an exogenous variable in the Mankiw-Romer-Weil model). Second, under decreasing/growing scale effects, these rates are lower/higher than the rate of Harrod-neutral technological progress. Third, repealing the constant-scale-effects assumption in the Mankiw-Romer-Weil growth model does not change the golden rules of capital accumulation because, regardless of whether scale effects decrease, grow or are constant, the golden rule of accumulation holds that the structure of investment rates corresponds to the elasticities of output with regard to physical and human capital inputs.
EN
The paper examines the ways in which business clusters contribute to an accelerated development of what are called problem regions. The author illustrates her theoretical analysis with examples of selected regions whose economic development has been accelerated by the establishment of production clusters. The adopted method of research includes an analysis of the selected aspects of economic theory and selected case studies of business clusters around the world. Specifically, the paper focuses on the American state of Arizona as a region with a developed market economy; the southern Indian state of Karnataka as a developing region; Scotland as a region excessively dependent on declining industry; and Slovenia as a region in the process of economic transformation. Business clusters are currently the most mature form of business organization that increases the probability of favorable economic effects in a problem region, the author says. Favorable economic effects generated by business clusters include economic cooperation and integration, external scale effects, internal synergy effects, as well as the multiplier and accelerator effects. All these effects improve the competitiveness of cluster members and consequently also of the host region, leading to accelerated economic development in the area.
PL
W artykule rozważany jest problem ewentualnej utraty wiedzy ekonomicznie użytecznej w ramach modelu wzrostu. Zaproponowany model wzrostu opiera się na alokacji kapitału ludzkiego przez pokolenie młodsze między różne zadania produkcyjne, by uzyskać możliwie wysoki dochód w przyszłości dzięki specjalizacji. Alternatywą dla uczenia się istniejących technik produkcji jest innowacja. W ramach modelu sformułowany zostaje wniosek, że warunkiem innowacyjności gospodarki jest wzrost rozmiaru gospodarki mierzonego liczbą tworzących ją podmiotów. Stagnacja demograficzna prowadzi zarazem do stagnacji technologicznej i w konsekwencji gospodarczej, postępująca zaś depopulacja do trwałego regresu technologicznego. Rozważania zostają uzupełnione o wpływ dyfuzji technologii, dzięki której rozmiar rynków zagranicznych może substytuować rozmiar gospodarki krajowej dla potrzeb innowacji i utrzymania poziomu wiedzy.
EN
The article presents the problem of possible loss of economically useful knowledge. A growth model is proposed that centers on accumulation of human capital and its allocation among production tasks by youngert generation in order to acquire possibly high income once they become the older generatiuon. Alternative exists between learning an existing set of skills and innovating. The conclusion of the model is that in order to achieve continuous innovation, the size of the economy must grow. Demographic stagnation leads to technological stagnation, and continuous depopulation leads to technological regress. Analysis is extended to include diffusion of technology, which can lead to overseas populatuion being a substitute for home population in regard to innovation and preservation of knowledge.
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