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A Generalized Uzawa Growth Theorem

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  • Gregory Casey
  • Ryo Horii

Abstract

We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem. Balanced growth with capital-augmenting technical change is possible when capital has a unitary elasticity of substitution with at least one other factor of production. Thus, a neoclassical growth model with three or more factors of production can be consistent with empirical evidence on both the capital-labor elasticity of substitution and the declining price of investment relative to consumption. In a three-factor model calibrated to US data, medium-run fluctuations in the investment price explain labor share movements from 1960-2000, but not the subsequent fall in the labor share.

Suggested Citation

  • Gregory Casey & Ryo Horii, 2023. "A Generalized Uzawa Growth Theorem," ISER Discussion Paper 1215, Institute of Social and Economic Research, Osaka University.
    • Handle: RePEc:dpr:wpaper:1215
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    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2023/DP1215.pdf
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    References listed on IDEAS

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    1. 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.
    2. Stern, David I., 2010. "Derivation of the Hicks, or direct, elasticity of substitution using the input distance function," Economics Letters, Elsevier, vol. 108(3), pages 349-351, September.
    3. John Hassler & Per Krusell & Conny Olovsson, 2021. "Directed Technical Change as a Response to Natural Resource Scarcity," Journal of Political Economy, University of Chicago Press, vol. 129(11), pages 3039-3072.
    4. Oded Galor, 2011. "Unified Growth Theory and Comparative Development," Rivista di Politica Economica, SIPI Spa, issue 2, pages 9-21, April-Jun.
    5. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-857, December.
    6. Dennis Epple & Brett Gordon & Holger Sieg, 2010. "A New Approach to Estimating the Production Function for Housing," American Economic Review, American Economic Association, vol. 100(3), pages 905-924, June.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    8. Charles I. Jones & Dean Scrimgeour, 2008. "A New Proof of Uzawa's Steady-State Growth Theorem," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 180-182, February.
    9. Oded Galor, 2011. "Unified Growth Theory," Economics Books, Princeton University Press, edition 1, number 9477.
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