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A New Proof of Uzawa's Steady-State Growth Theorem


  • Charles I. Jones

    (U.C. Berkeley and NBER)

  • Dean Scrimgeour

    (U.C. Berkeley)


This note revisits the proof of the steady-state growth theorem, first given by Uzawa in 1961.We provide a clear statement of the theorem, discuss intuition for why it holds, and present a new, elegant proof due to Schlicht (2006). Copyright by the President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • 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.
  • Handle: RePEc:tpr:restat:v:90:y:2008:i:1:p:180-182

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    References listed on IDEAS

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    Cited by:

    1. Miguel A. Leon-Ledesma & Mathan Satchi, 2015. "Appropriate Technology and Balanced Growth," Studies in Economics 1614, School of Economics, University of Kent, revised Nov 2016.
    2. Ekkehart Schlicht, 2016. "Directed Technical Change and Capital Deepening: A Reconsideration of Kaldor's Technical Progress Function," Metroeconomica, Wiley Blackwell, vol. 67(1), pages 119-151, February.
    3. Growiec, Jakub, 2010. "Knife-edge conditions in the modeling of long-run growth regularities," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1143-1154, December.
    4. Roberto Veneziani & Luca Zamparelli & 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.
    5. 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.
    6. Gene M. Grossman & Elhanan Helpman & Ezra Oberfield & Thomas Sampson, 2017. "Balanced Growth Despite Uzawa," American Economic Review, American Economic Association, vol. 107(4), pages 1293-1312, April.
    7. Young, Andrew T., 2013. "U.S. Elasticities Of Substitution And Factor Augmentation At The Industry Level," Macroeconomic Dynamics, Cambridge University Press, vol. 17(04), pages 861-897, June.
    8. Moysan, Gwenaël & Senouci, Mehdi, 2016. "A note on 2-input neoclassical production functions," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 80-86.
    9. Andreas Irmen, 2013. "A Generalized Steady-State Growth Theorem," CREA Discussion Paper Series 13-26, Center for Research in Economic Analysis, University of Luxembourg.
    10. Trew, Alex, 2014. "Finance And Balanced Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 18(04), pages 883-898, June.
    11. Vladimir D. Matveenko & Alexei V. Korolev, 2011. "What Is Common In Different Economic Growth Models?," DEGIT Conference Papers c016_075, DEGIT, Dynamics, Economic Growth, and International Trade.
    12. Sherman Robinson & Hans Meijl & Dirk Willenbockel & Hugo Valin & Shinichiro Fujimori & Toshihiko Masui & Ron Sands & Marshall Wise & Katherine Calvin & Petr Havlik & Daniel Mason d'Croz & Andrzej Tabe, 2014. "Comparing supply-side specifications in models of global agriculture and the food system," Agricultural Economics, International Association of Agricultural Economists, vol. 45(1), pages 21-35, January.
    13. Miguel A. Leon-Ledesma & Mathan Satchi, 2010. "A Note on Balanced Growth with a less than unitary Elasticity of Substitution," Studies in Economics 1007, School of Economics, University of Kent.
    14. Neustroev, Dmitry, 2013. "The Uzawa-Lucas Growth Model with Natural Resources," MPRA Paper 52937, University Library of Munich, Germany.
    15. repec:nbp:nbpbik:v:47:y:2016:i:6:p:463-494 is not listed on IDEAS
    16. Miguel A. Leon-Ledesma & Mathan Satchi, 2011. "The Choice of CES Production Techniques and Balanced Growth," Studies in Economics 1113, School of Economics, University of Kent.
    17. Aiyar, Shekhar & Dalgaard, Carl-Johan, 2009. "Accounting for productivity: Is it OK to assume that the world is Cobb-Douglas?," Journal of Macroeconomics, Elsevier, vol. 31(2), pages 290-303, June.
    18. Jones, C.I., 2016. "The Facts of Economic Growth," Handbook of Macroeconomics, Elsevier.
    19. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona Graduate School of Economics.
    20. Andreas Irmen, 2013. "Adjustment costs in a variant of Uzawa's steady-state growth theorem," Economics Bulletin, AccessEcon, vol. 33(4), pages 2860-2873.
    21. Roman G. Smirnov & Kunpeng Wang, 2017. "Towards a new paradigm for mathematical modelling of growth," Papers 1711.02625,, revised Jan 2018.
    22. Miguel A. Leon-Ledesma & Mathan Satchi, 2015. "Appropriate Technology and the Labour Share," Studies in Economics 1505, School of Economics, University of Kent, revised Nov 2016.

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