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Złote reguły akumulacji w N-kapitałowym modelu wzrostu gospodarczego

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Dykas P., Sulima A., Tokarski T.
Gospodarka Narodowa. The Polish Journal of Economics
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2008
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vol. 228
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issue 11-12
47-75
EN
The paper aims to theoretically determine the golden rules of capital accumulation-as defined by American economist Edmund S. Phelps-under the “N-capital” economic growth model based on a uniform macroeconomic production function, Ξ>0. With Ξ=1, the macroeconomic production function discussed in the paper is characterized by constant scale effects (as in the case of neoclassical growth models developed by Solow, Mankiw, Romer, Weil, Nonneman, and Vanhoudt), the authors say, while with Ξ<1/Ξ>1 the scale effects of the production process decrease/increase. The authors show that the growth model analyzed in the paper is characterized by asymptotic stability in a certain environment. The authors also examine the long-run growth paths of basic macroeconomic variables in the analyzed model and identify the golden rules of capital accumulation under the N-capital growth model when the production process leads to scale effects.
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Równowaga w modelu Nonnemana-Vanhoudta z funkcją produkcji CES

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Sulima A.
Gospodarka Narodowa. The Polish Journal of Economics
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2011
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vol. 252
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issue 11-12
47-59
EN
The paper aims to show that the Nonneman-Vanhoudt growth model with the n-capital CES macroeconomic production functionis asymptotically stable in a certain environment. The Nonneman-Vanhoudt model of economic growth is conducted with an assumption that the CES production function is described by a system of ordinary differential equations. To investigate the stability of the model, a criterion resulting from the Hartman-Grobman theorem was used. The stability of this model means that if the structure of resources, the investment rate, and the rate of capital depreciation change slightly, the economy will tend toward astationary point that can be regarded as a long-term equilibrium in the considered model of economic growth. The author examines the properties of the growth model and focuses on factors including the growth of labor productivity, equipment and output per unit of effective labor.
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