IDEAS home Printed from https://ideas.repec.org/p/lmu/muenec/897.html
   My bibliography  Save this paper

A Variant of Uzawa's Theorem

Author

Listed:
  • Schlicht, Ekkehart

Abstract

Uzawa (1961) has shown that balanced growth requires technological progress to be strictly Harrod neutral (purely labor-augmenting). This paper offers a slightly more general variant of the theorem that does not require assumptions about savings behavior or factor pricing and is much easier to prove.

Suggested Citation

  • Schlicht, Ekkehart, 2006. "A Variant of Uzawa's Theorem," Discussion Papers in Economics 897, University of Munich, Department of Economics.
  • Handle: RePEc:lmu:muenec:897
    as

    Download full text from publisher

    File URL: https://epub.ub.uni-muenchen.de/897/1/schlicht_uzawas_theorem.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
    2. 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.
    3. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    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. C. C. von Weizsäcker, 1966. "Tentative Notes on a Two Sector Model with Induced Technical Progress," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 33(3), pages 245-251.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    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. 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, 2018. "A Generalized Steady-State Growth Theorem," Macroeconomic Dynamics, Cambridge University Press, vol. 22(4), pages 779-804, June.
    6. Gregory Casey, 2018. "Technology-Driven Unemployment," 2018 Meeting Papers 302, Society for Economic Dynamics.
    7. 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.
    8. 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.
    9. Gregory Casey & Ryo Horii, 2019. "A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change," ISER Discussion Paper 1051, Institute of Social and Economic Research, Osaka University.
    10. Jones, C.I., 2016. "The Facts of Economic Growth," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 3-69, Elsevier.
    11. Trew, Alex, 2014. "Finance And Balanced Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 18(4), pages 883-898, June.
    12. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:ebl:ecbull:v:5:y:2006:i:6:p:1-5 is not listed on IDEAS
    2. Gene M. Grossman & Elhanan Helpman & Ezra Oberfield & Thomas Sampson, 2021. "Endogenous Education and Long-Run Factor Shares," American Economic Review: Insights, American Economic Association, vol. 3(2), pages 215-232, June.
    3. Young, Andrew T., 2010. "One of the things we know that ain't so: Is US labor's share relatively stable?," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 90-102, March.
    4. 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.
    5. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2008. "Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 645-666, June.
    6. Smulders, Sjak & Gradus, Raymond, 1996. "Pollution abatement and long-term growth," European Journal of Political Economy, Elsevier, vol. 12(3), pages 505-532, November.
    7. Yang Zaigui, 2005. "Pay-As-You-Go Public Pension Systems: Two-sided Altruism and Endogenous Growth," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 1(1), pages 1-13, June.
    8. Miguel A León-Ledesma & Peter McAdam & Alpo Willman, 2012. "Non-Balanced Growth and Production Technology Estimation," Studies in Economics 1204, School of Economics, University of Kent.
    9. Li, Defu & Bental, Benjamin, 2023. "What determines the Direction of Technological Progress(2023.11.16)?," MPRA Paper 119211, University Library of Munich, Germany, revised 16 Nov 2023.
    10. Irmen, Andreas, 2018. "A Generalized Steady-State Growth Theorem," Macroeconomic Dynamics, Cambridge University Press, vol. 22(4), pages 779-804, June.
    11. Danny Givon, 2006. "Factor Replacement versus Factor Substitution, Mechanization and Asymptotic Harrod Neutrality," DEGIT Conference Papers c011_028, DEGIT, Dynamics, Economic Growth, and International Trade.
    12. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    13. Karl-Heinz Todter & Gerhard Ziebarth, 1999. "Price Stability versus Low Inflation in Germany: An Analysis of Costs and Benefits," NBER Chapters, in: The Costs and Benefits of Price Stability, pages 47-94, National Bureau of Economic Research, Inc.
    14. Lau, Morten I. & Pahlke, Andreas & Rutherford, Thomas F., 2002. "Approximating infinite-horizon models in a complementarity format: A primer in dynamic general equilibrium analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 577-609, April.
    15. Akhand Akhtar Hossain, 2009. "Central Banking and Monetary Policy in the Asia-Pacific," Books, Edward Elgar Publishing, number 12777.
    16. 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.
    17. Gregory Casey & Ryo Horii, 2019. "A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change," ISER Discussion Paper 1051, Institute of Social and Economic Research, Osaka University.
    18. de la Croix, David, 1998. "Growth and the relativity of satisfaction," Mathematical Social Sciences, Elsevier, vol. 36(2), pages 105-125, September.
    19. Qayyum, Unbreen & Din, Musleh-ud & Haider, Adnan, 2014. "Foreign aid, external debt and governance," Economic Modelling, Elsevier, vol. 37(C), pages 41-52.
    20. Jakub Growiec, 2008. "A new class of production functions and an argument against purely labor‐augmenting technical change," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 483-502, December.
    21. Becker, Daniel Thomas & Gundlach, Erich, 2006. "Notes on factor price equality and biased technical change in a two-cone trade model," Thuenen-Series of Applied Economic Theory 68, University of Rostock, Institute of Economics.

    More about this item

    Keywords

    Harrod neutral; bias; technological progress;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lmu:muenec:897. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tamilla Benkelberg (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.