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Optymalne stopy inwestycji w N-kapitałowym modelu wzrostu gospodarczego

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  • Tokarski, Tomasz

Abstract

The paper aims to determine an optimal structure of investment rates under an N-capital growth model. This model is a combination and expansion of models developed by Solow [1956]; Mankiw, Romer, Weil [1992]; Nonneman, Vanhoudt [1996]; and Tokarski [1996; 2000; 2003; 2005], with elements of optimal control models by Ramsey [1928], Lucas [1988] and Romer [1986, 1990]. The economic growth model described in the paper is based on the following assumptions: - The stream of products generated in the economy is influenced by a finite N amount of capital, labor and technology resources; it is also assumed that labor and technology resources grow according to certain exogenous growth rates; - The increase of each of the analyzed capital stocks is the difference between investment in this capital and its depreciation; these assumptions refer to the neoclassical growth models developed by Solow, Mankiw-Romer-Weil, and Nonneman-Vanhoudt; - A typical rationally behaving consumer (much as in the case of endogenous growth models developed by Lucas and Romer) seeks a long-term investment rate structure that will maximize the usefulness of consumption in an infinite period of time; - Additionally, an assumption is made that the macroeconomic production function in the described growth model does not have to be characterized by a constant scale effect (as earlier noted by Tokarski [1996, 2003 or 2005]). The model described by the author is solved using Pontryagin’s maximum principle.

Suggested Citation

  • Tokarski, Tomasz, 2007. "Optymalne stopy inwestycji w N-kapitałowym modelu wzrostu gospodarczego," Gospodarka Narodowa-The Polish Journal of Economics, Szkoła Główna Handlowa w Warszawie / SGH Warsaw School of Economics, vol. 2007(9), September.
    • Handle: RePEc:ags:polgne:356513
    DOI: 10.22004/ag.econ.356513
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. 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.
    3. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    4. 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.
    5. 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.
    6. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    1. Dykas, Paweł & Sulima, Anna & Tokarski, Tomasz, 2008. "Złote reguły akumulacji w N-kapitałowym modelu wzrostu gospodarczego," Gospodarka Narodowa-The Polish Journal of Economics, Szkoła Główna Handlowa w Warszawie / SGH Warsaw School of Economics, vol. 2008(11-12), December.

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