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A Generalized Uzawa Growth Theorem

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  • Gregory Casey
  • Ryo Horii

Abstract

We prove a generalized, multifactor 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 to 2000, but not the subsequent fall in the labor share.

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  • Gregory Casey & Ryo Horii, 2024. "A Generalized Uzawa Growth Theorem," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 2(2), pages 336-373.
    • Handle: RePEc:ucp:jpemac:doi:10.1086/729034
    DOI: 10.1086/729034
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    Cited by:

    1. Hirano, Tomohiro & Toda, Alexis Akira, 2024. "Bubble economics," Journal of Mathematical Economics, Elsevier, vol. 111(C).

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