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Równowaga w modelu Nonnemana-Vanhoudta z funkcją produkcji CES

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  • Sulima, Anna

Abstract

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.

Suggested Citation

  • Sulima, Anna, 2001. "Równowaga w modelu Nonnemana-Vanhoudta z funkcją produkcji CES," Gospodarka Narodowa-The Polish Journal of Economics, Szkoła Główna Handlowa w Warszawie / SGH Warsaw School of Economics, vol. 2011(11-12), December.
    • Handle: RePEc:ags:polgne:358350
    DOI: 10.22004/ag.econ.358350
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    References listed on IDEAS

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    1. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. Walter Nonneman & Patrick Vanhoudt, 1996. "A Further Augmentation of the Solow Model and the Empirics of Economic Growth for OECD Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 943-953.
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