IDEAS home Printed from https://ideas.repec.org/a/aea/aecrev/v107y2017i4p1293-1312.html
   My bibliography  Save this article

Balanced Growth Despite Uzawa

Author

Listed:
  • Gene M. Grossman
  • Elhanan Helpman
  • Ezra Oberfield
  • Thomas Sampson

Abstract

The evidence for the United States points to balanced growth despite falling investment good prices and a less-than-unitary elasticity of substitution between capital and labor. This is inconsistent with the Uzawa Growth Theorem. We extend Uzawa's theorem to show that the introduction of human capital accumulation in the standard way does not resolve the puzzle. However, balanced growth is possible if education is endogenous and capital is more complementary with schooling than with raw labor. We present a class of aggregate production functions for which a neoclassical growth model with capital-augmenting technological progress and endogenous schooling converges to a balanced growth path.

Suggested Citation

  • 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.
    • Handle: RePEc:aea:aecrev:v:107:y:2017:i:4:p:1293-1312
    Note: DOI: 10.1257/aer.20151739
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/articles?id=10.1257/aer.20151739
    Download Restriction: no
    File URL: https://www.aeaweb.org/articles/attachments?retrieve=hGbxO8f8yiemfZI5py0YA350FV0SIC5n
    Download Restriction: no
    File URL: https://www.aeaweb.org/articles/attachments?retrieve=wmpMKp9ol4UJeJcBHiFmf4d6R3rApUcX
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Berthold Herrendorf & Christopher Herrington & Ákos Valentinyi, 2015. "Sectoral Technology and Structural Transformation," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(4), pages 104-133, October.
    2. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
    3. 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.
    4. Lilia Maliar & Serguei Maliar, 2011. "Capital–Skill Complementarity and Balanced Growth," Economica, London School of Economics and Political Science, vol. 78(310), pages 240-259, April.
    5. Hui He & Zheng Liu, 2008. "Investment-Specific Technological Change, Skill Accumulation, and Wage Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 314-334, April.
    6. repec:ucp:bknber:9780226304557 is not listed on IDEAS
    7. 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.
    8. Brent Neiman, 2014. "The Global Decline of the Labor Share," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 61-103.
    9. Ekkehart Schlicht, 2006. "A Variant of Uzawa's Theorem," Economics Bulletin, AccessEcon, vol. 5(6), pages 1-5.
    10. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    11. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    12. Robert Z. Lawrence, 2015. "Recent Declines in Labor's Share in US Income: A Preliminary Neoclassical Account," Working Paper Series WP15-10, Peterson Institute for International Economics.
    13. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters, in: Schooling, Experience, and Earnings, pages 1-4, National Bureau of Economic Research, Inc.
    14. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    15. Robert S. Chirinko & Debdulal Mallick, 2014. "The Substitution Elasticity, Factor Shares, Long-Run Growth, and the Low-Frequency Panel Model," CESifo Working Paper Series 4895, CESifo.
    16. Jason G. Cummins & Giovanni L. Violante, 2002. "Investment-Specific Technical Change in the US (1947-2000): Measurement and Macroeconomic Consequences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(2), pages 243-284, April.
    17. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    18. Robert J. Gordon, 1990. "The Measurement of Durable Goods Prices," NBER Books, National Bureau of Economic Research, Inc, number gord90-1, March.
    19. Claudia Goldin & Lawrence F. Katz, 2007. "Long-Run Changes in the Wage Structure: Narrowing, Widening, Polarizing," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 38(2), pages 135-168.
    20. Robert S. Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital--Labor Substitution Elasticity," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 587-594, October.
    21. F. A. Lutz, 1961. "The Theory of Capital," International Economic Association Series, Palgrave Macmillan, number 978-1-349-08452-4 edited by D. C. Hague, December.
    22. Blinder, Alan S & Weiss, Yoram, 1976. "Human Capital and Labor Supply: A Synthesis," Journal of Political Economy, University of Chicago Press, vol. 84(3), pages 449-472, June.
    23. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    24. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    25. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    26. 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.
    27. David H. Autor & Lawrence F. Katz & Alan B. Krueger, 1998. "Computing Inequality: Have Computers Changed the Labor Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1169-1213.
    28. 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.
    29. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    30. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1, March.
    31. Michael Elsby & Bart Hobijn & Ayseful Sahin, 2013. "The Decline of the U.S. Labor Share," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 44(2 (Fall)), pages 1-63.
    32. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    33. Charles I. Jones & Paul M. Romer, 2010. "The New Kaldor Facts: Ideas, Institutions, Population, and Human Capital," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 224-245, January.
    34. Beckmann, Martin J., 1977. "Management production functions and the theory of the firm," Journal of Economic Theory, Elsevier, vol. 14(1), pages 1-18, February.
    35. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    36. Takayama, Akira, 1974. "On Biased Technological Progress," American Economic Review, American Economic Association, vol. 64(4), pages 631-639, September.
    37. E. Sheshinski, 1967. "Balanced Growth and Stability in the Johansen Vintage Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 239-248.
    38. DiCecio, Riccardo, 2009. "Sticky wages and sectoral labor comovement," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 538-553, March.
    39. Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital–Labor Substitution Elasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 587-594.
    40. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    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. Clemens Struck & Adnan Velic, 2017. "To Augment Or Not To Augment? A Conjecture On Asymmetric Technical Change," Trinity Economics Papers tep0117, Trinity College Dublin, Department of Economics.
    4. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(2), pages 528-548, May.
    5. Robert Z. Lawrence, 2015. "Recent Declines in Labor's Share in US Income: A Preliminary Neoclassical Account," Working Paper Series WP15-10, Peterson Institute for International Economics.
    6. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    7. 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.
    8. Robert S. Chirinko & Debdulal Mallick, 2017. "The Substitution Elasticity, Factor Shares, and the Low-Frequency Panel Model," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 225-253, October.
    9. Ezra Oberfield & Devesh Raval, 2021. "Micro Data and Macro Technology," Econometrica, Econometric Society, vol. 89(2), pages 703-732, March.
    10. Hansen, G.D. & Ohanian, L.E., 2016. "Neoclassical Models in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2043-2130, Elsevier.
    11. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    12. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    13. Dongya Koh & Raül Santaeulàlia‐Llopis & Yu Zheng, 2020. "Labor Share Decline and Intellectual Property Products Capital," Econometrica, Econometric Society, vol. 88(6), pages 2609-2628, November.
    14. Wemy, Edouard, 2021. "Capital-labor substitution elasticity: A simulated method of moments approach," Economic Modelling, Elsevier, vol. 97(C), pages 14-44.
    15. George Sorg-Langhans & Clemens Struck & Adnan Velic, 2017. "On the Factor Content of Trade," Trinity Economics Papers tep0817, Trinity College Dublin, Department of Economics, revised Jan 2018.
    16. 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.
    17. Akaev, Askar & Devezas, Tessaleno & Ichkitidze, Yuri & Sarygulov, Askar, 2021. "Forecasting the labor intensity and labor income share for G7 countries in the digital age," Technological Forecasting and Social Change, Elsevier, vol. 167(C).
    18. Patrizio Pagano & Massimo Sbracia, 2014. "The secular stagnation hypothesis: a review of the debate and some insights," Questioni di Economia e Finanza (Occasional Papers) 231, Bank of Italy, Economic Research and International Relations Area.
    19. Li, Defu & Benjamin, Bental, 2021. "Factor Supply Elasticities, Returns to Scale, and the Direction of Technological Progress," MPRA Paper 109920, University Library of Munich, Germany.
    20. Gregory Casey, 2018. "Technology-Driven Unemployment," 2018 Meeting Papers 302, Society for Economic Dynamics.

    More about this item

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • I26 - Health, Education, and Welfare - - Education - - - Returns to Education
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

    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:aea:aecrev:v:107:y:2017:i:4:p:1293-1312. 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: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.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.