IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp12219.html
   My bibliography  Save this paper

A Decline in Labor's Share with Capital Accumulation and Complementary Factor Inputs: An Application of the Morishima Elasticity of Substitution

Author

Listed:
  • Paul, Saumik

    (Newcastle University)

Abstract

The role of capital accumulation as a driver of the labor income share requires capital and labor to be substitutes, which appears paradoxical in a world predominantly characterized by complementarity between capital and labor. This paper argues that the composition of skills in the labor force and an identification of the elasticity parameters between capital and different skills of labor can reconcile the opposing views. Using a framework with capital-skill complementarity and variable substitution elasticities, the Morishima elasticity of substitution is applied to identify the elasticity parameters at different skill levels and derive the necessary condition for capital accumulation to coexist with a declining labor income share when capital and labor are complements. Empirical evidence supports this proposition.

Suggested Citation

  • Paul, Saumik, 2019. "A Decline in Labor's Share with Capital Accumulation and Complementary Factor Inputs: An Application of the Morishima Elasticity of Substitution," IZA Discussion Papers 12219, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp12219
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp12219.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Olivier Blanchard & Francesco Giavazzi, 2003. "Macroeconomic Effects of Regulation and Deregulation in Goods and Labor Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(3), pages 879-907.
    2. 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.
    3. Alvarez-Cuadrado, Francisco & Long, Ngo Van & Poschke, Markus, 2018. "Capital-labor substitution, structural change and the labor income share," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 206-231.
    4. A. B. Atkinson, 2009. "Factor shares: the principal problem of political economy?," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 25(1), pages 3-16, Spring.
    5. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    6. Francisco J Buera & Joseph P Kaboski & Richard Rogerson & Juan I Vizcaino, 2022. "Skill-Biased Structural Change [“Skills, Tasks and Technologies: Implications for Employment and Earnings”]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(2), pages 592-625.
    7. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2015. "Production Technology Estimates and Balanced Growth," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(1), pages 40-65, February.
    8. Ezra Oberfield & Devesh Raval, 2021. "Micro Data and Macro Technology," Econometrica, Econometric Society, vol. 89(2), pages 703-732, March.
    9. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    10. Diamond, Peter & McFadden, Daniel & Rodriguez, Miguel, 1978. "Measurement of the Elasticity of Factor Substitution and Bias of Technical Change," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 2, chapter 5, McMaster University Archive for the History of Economic Thought.
    11. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    12. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    13. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    14. 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.
    15. Kazi, Umar A, 1980. "The Variable Elasticity of Substitution Production Function: A Case Study for Indian Manufacturing Industries," Oxford Economic Papers, Oxford University Press, vol. 32(1), pages 163-175, March.
    16. Eli Berman & John Bound & Zvi Griliches, 1994. "Changes in the Demand for Skilled Labor within U. S. Manufacturing: Evidence from the Annual Survey of Manufactures," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 367-397.
    17. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    18. Bentolila Samuel & Saint-Paul Gilles, 2003. "Explaining Movements in the Labor Share," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-33, October.
    19. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    20. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    21. Grossman, Gene M. & Helpman, Elhanan & Oberfield, Ezra & Sampson, Thomas, 2017. "The productivity slowdown and the declining labor share: a neoclassical exploration," LSE Research Online Documents on Economics 86597, London School of Economics and Political Science, LSE Library.
    22. 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.
    23. Arnold Zellner & Hang Ryu, 1998. "Alternative functional forms for production, cost and returns to scale functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(2), pages 101-127.
    24. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    25. Matthew Rognlie, 2015. "Deciphering the Fall and Rise in the Net Capital Share," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 50(1 (Spring), pages 1-69.
    26. Matthew Rognlie, 2015. "Deciphering the Fall and Rise in the Net Capital Share: Accumulation or Scarcity?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 46(1 (Spring), pages 1-69.
    27. Saumik Paul, 2018. "Capital Skill Substitutability and the Labor Income Share: Identification Using the Morishima Elasticity of Subtitution," Working Papers id:12818, eSocialSciences.
    28. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    29. Richard Rogerson & Joseph Kaboski & Francisco Buera, 2015. "Skill-Biased Structural Change and the Skill Premium," 2015 Meeting Papers 895, Society for Economic Dynamics.
    30. Manuel Frondel & Christoph M. Schmidt, 2002. "The Capital-Energy Controversy: An Artifact of Cost Shares?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 53-79.
    31. Y. Mundlak, 1968. "Elasticities of Substitution and the Theory of Derived Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 225-236.
    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. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    2. Paul, Saumik & Thomas, Liam, 2020. "The Agricultural Productivity Gap and Self-Employment Bias in the Labor Income Share," IZA Discussion Papers 13415, Institute of Labor Economics (IZA).
    3. Saumik Paul, 2020. "Understanding the global decline in the labor income share," IZA World of Labor, Institute of Labor Economics (IZA), pages 472-472, March.

    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. Saumik Paul, 2018. "Capital Skill Substitutability and the Labor Income Share: Identification Using the Morishima Elasticity of Subtitution," Working Papers id:12818, eSocialSciences.
    2. Saumik Paul & Yoko Oishi, 2018. "A Primer on the Drivers of Labor Income Share," Working Papers id:12948, eSocialSciences.
    3. Alessandro Bellocchi & Giovanni Marin & Giuseppe Travaglini, 2021. "The Great Fall of Labor Share:Micro Determinants for EU Countries Over 2011-2019," Working Papers 2102, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2021.
    4. 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.
    5. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    6. Bellocchi, Alessandro & Travaglini, Giuseppe, 2023. "Can variable elasticity of substitution explain changes in labor shares?," Journal of Macroeconomics, Elsevier, vol. 76(C).
    7. Matteo G. Richiardi & Luis Valenzuela, 2024. "Firm heterogeneity and the aggregate labour share," LABOUR, CEIS, vol. 38(1), pages 66-101, March.
    8. Clemens Struck & Adnan Velic, 2017. "Automation, New Technology, and Non-Homothetic Preferences," Trinity Economics Papers tep1217, Trinity College Dublin, Department of Economics.
    9. Reshef, Ariell & Santoni, Gianluca, 2023. "Are your labor shares set in Beijing? The view through the lens of global value chains," European Economic Review, Elsevier, vol. 155(C).
    10. Song, Eunbi, 2021. "What drives labor share change? Evidence from Korean industries," Economic Modelling, Elsevier, vol. 94(C), pages 370-385.
    11. Daan Steenkamp, 2018. "Factor Substitution and Productivity in New Zealand," The Economic Record, The Economic Society of Australia, vol. 94(304), pages 64-79, March.
    12. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    13. Luis Díez Catalán, 2018. "The labor share in the service economy," Working Papers 18/09, BBVA Bank, Economic Research Department.
    14. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 528-548, May.
    15. 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.
    16. Agustin Velasquez, 2023. "Production Technology, Market Power, and the Decline of the Labor Share," IMF Working Papers 2023/032, International Monetary Fund.
    17. 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.
    18. T. Gries & R. Grundmann & I. Palnau & M. Redlin, 2017. "Innovations, growth and participation in advanced economies - a review of major concepts and findings," International Economics and Economic Policy, Springer, vol. 14(2), pages 293-351, April.
    19. Maya Eden & Paul Gaggl, 2018. "On the Welfare Implications of Automation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 15-43, July.
    20. Alvarez-Cuadrado, Francisco & Long, Ngo & Poschke, Markus, 2017. "Capital-labor substitution, structural change and growth," Theoretical Economics, Econometric Society, vol. 12(3), September.

    More about this item

    Keywords

    labor income share; production function; Morishima elasticity of substitution;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution

    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:iza:izadps:dp12219. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.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.