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A Generalized Steady-State Growth Theorem

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  • Andreas Irmen

Abstract

Uzawa’s steady-state growth theorem (Uzawa (1961)) is generalized to a neoclassical economy that uses current output, e. g., to create technical progress or to manufacture intermediates. The difference between aggregate final-good production and these resources is referred to as net output. The new generalized steady-state growth theorem holds since net output exhibits constant returns to scale in capital and labor. This insight provides an understanding for why technical change is labor-augmenting in steady state even if capital-augmenting technical change is feasible. By example, this point is made for three recent growth models that allow for endogenous capital- and labor-augmenting technical change, namely, Irmen (2013), Acemoglu (2003), and Acemoglu (2009), Chapter 15. The reduced form of these models is shown to be consistent with the generalized steady-state growth theorem.

Suggested Citation

  • Andreas Irmen, 2013. "A Generalized Steady-State Growth Theorem," CESifo Working Paper Series 4477, CESifo.
    • Handle: RePEc:ces:ceswps:_4477
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    References listed on IDEAS

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    1. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 117-124.
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    4. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    5. Irmen, Andreas & Tabaković, Amer, 2017. "Endogenous capital- and labor-augmenting technical change in the neoclassical growth model," Journal of Economic Theory, Elsevier, vol. 170(C), pages 346-384.
    6. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    7. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
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    9. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2004. "Factor substitution and factor augmenting technical progress in the US: a normalized supply-side system approach," Working Paper Series 367, European Central Bank.
    10. 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.
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    Cited by:

    1. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    2. Andreas Irmen, 2021. "Automation, growth, and factor shares in the era of population aging," Journal of Economic Growth, Springer, vol. 26(4), pages 415-453, December.
    3. Daniele Tavani & Luca Zamparelli, 2017. "Endogenous Technical Change In Alternative Theories Of Growth And Distribution," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1272-1303, December.
    4. Li, Defu & Bental, Benjamin & Huang, Jiuli, 2016. "Stationary Growth and the Impossibility of Capital Efficiency Gains," MPRA Paper 71516, University Library of Munich, Germany.
    5. Andreas Irmen & Amer Tabakovic, 2016. "Factor Income Distribution and Endogenous Economic Growth - When Piketty meets Romer -," DEM Discussion Paper Series 16-18, Department of Economics at the University of Luxembourg.
    6. Andreas Irmen, 2013. "Adjustment costs in a variant of Uzawa's steady-state growth theorem," Economics Bulletin, AccessEcon, vol. 33(4), pages 2860-2873.
    7. Andreas Irmen, 2017. "Capital‐ And Labor‐Saving Technical Change In An Aging Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 261-285, February.
    8. Andreas Irmen & Amer Tabakovic, 2020. "Factor Income Distribution And Endogenous Economic Growth: Piketty Meets Romer," Economic Inquiry, Western Economic Association International, vol. 58(3), pages 1342-1361, July.

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    More about this item

    Keywords

    steady-state growth; capital accumulation; Uzawa's Theorem; endogenous direction of technical change;
    All these keywords.

    JEL classification:

    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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