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Accounting for Productivity: Is it OK to Assume that the World is Cobb-Douglas?

Author

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  • Shekhar Aiyar

    (International Monetary Fund)

  • Carl-Johan Dalgaard

    (Department of Economics, University of Copenhagen)

Abstract
The development accounting literature almost always assumes a Cobb-Douglas (CD) production function. However, if in reality the elasticity of substitution between capital and labor deviates substantially from 1, the assumption is invalid, potentially casting doubt on the commonly held view that factors of production are relatively unimportant in accounting for differences in labor productivity. We use international data on relative factor shares and capital-output ratios to formulate a number of tests for the validity of the CD assumption. We find that the CD specification performs reasonably well for the purposes of cross-country productivity accounting.

Suggested Citation

  • Shekhar Aiyar & Carl-Johan Dalgaard, 2008. "Accounting for Productivity: Is it OK to Assume that the World is Cobb-Douglas?," Discussion Papers 08-14, University of Copenhagen. Department of Economics.
  • Handle: RePEc:kud:kuiedp:0814
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    References listed on IDEAS

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    1. Diego Restuccia, 2004. "Barriers to Capital Accumulation and Aggregate Total Factor Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 225-238, February.
    2. John Duffy & Chris Papageorgiou & Fidel Perez-Sebastian, 2004. "Capital-Skill Complementarity? Evidence from a Panel of Countries," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 327-344, February.
    3. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," Economic Journal, Royal Economic Society, vol. 106(437), pages 1056-1069, July.
    4. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    5. 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.
    6. Lutz Hendricks, 2002. "How Important Is Human Capital for Development? Evidence from Immigrant Earnings," American Economic Review, American Economic Association, vol. 92(1), pages 198-219, March.
    7. J. D. Pitchpord, 1960. "GROWTH and THE ELASTICITY OF FACTOR SUBSTITUTION-super-1," The Economic Record, The Economic Society of Australia, vol. 36(76), pages 491-504, December.
    8. 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.
    9. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    10. Dalgaard, Carl-Johan & Jensen, Martin Kaae, 2009. "Life-cycle savings, bequest, and a diminishing impact of scale on growth," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1639-1647, September.
    11. Ben S. Bernanke & Kenneth Rogoff, 2001. "NBER Macroeconomics Annual 2000, Volume 15," NBER Books, National Bureau of Economic Research, Inc, number bern01-1.
    12. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 83-116.
    13. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    14. Ben S. Bernanke & Refet S. Gürkaynak, 2002. "Is Growth Exogenous? Taking Mankiw, Romer, and Weil Seriously," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 11-72, National Bureau of Economic Research, Inc.
    15. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    16. Peter J. Klenow & Andrés Rodríguez-Clare, 1997. "The Neoclassical Revival in Growth Economics: Has It Gone Too Far?," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 73-114, National Bureau of Economic Research, Inc.
    17. Shekhar Aiyar & Carl-Johan Dalgaard, 2005. "Total Factor Productivity Revisited: A Dual Approach to Development Accounting," IMF Staff Papers, Palgrave Macmillan, vol. 52(1), pages 82-102, April.
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    Cited by:

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    2. Mr. Shekhar Aiyar & Mr. Christian H Ebeke, 2016. "The Impact of Workforce Aging on European Productivity," IMF Working Papers 2016/238, International Monetary Fund.
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    7. Alberto BUCCI & Chiara DEL BO, 2009. "On the interaction between public investment and private capital in economic growth," Departmental Working Papers 2009-44, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    8. Norman Maynard, 2016. "Long-Run Growth Differences and the Neoclassical Growth Model," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 574-583, September.
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    10. Song, Shuang & Goh, Jenson C.L. & Tan, Hugh T.W., 2021. "Is food security an illusion for cities? A system dynamics approach to assess disturbance in the urban food supply chain during pandemics," Agricultural Systems, Elsevier, vol. 189(C).
    11. Moralles, Herick Fernando & do Nascimento Rebelatto, Daisy Aparecida, 2016. "The effects and time lags of R&D spillovers in Brazil," Technology in Society, Elsevier, vol. 47(C), pages 148-155.
    12. Mello, Marcelo de Albuquerque e & Rodrigues, André de Souza, 2017. "Development Accounting, the Elasticity of Substitution, and Non-neutral Technological Change," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 71(1), May.
    13. Alberto Bucci, 2012. "Public Capital, Private Capital and Economic Growth," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 120(2), pages 149-180.
    14. Casper Worm Hansen, 2013. "Health and Development: A Neoclassical Perspective," Journal of Human Capital, University of Chicago Press, vol. 7(3), pages 274-295.
    15. Serranito, Francisco, 2013. "Heterogeneous technology and the technological catching-up hypothesis: Theory and assessment in the case of MENA countries," Economic Modelling, Elsevier, vol. 30(C), pages 685-697.
    16. Alberto Bucci & Chiara Del Bo, 2012. "On the interaction between public and private capital in economic growth," Journal of Economics, Springer, vol. 106(2), pages 133-152, June.
    17. Briones Mendoza, Xavier Fernando & Molero Oliva, Leobaldo Enrique & Calderón Zamora, Oscar Xavier, 2018. "La función de producción Cobb-Douglas en el Ecuador," Revista Tendencias, Universidad de Narino, vol. 19(2), pages 45-73, July.
    18. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    19. Małgorzata Gawrycka & Aneta Sobiechowska-Ziegert & Anna Szymczak, 2012. "The Impact of Technological and Structural Changes in the National Economy on the Labour-Capital Relations," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 6(1), March.
    20. Niclas Berggren & Christian Bjørnskov, 2022. "Academic freedom, institutions, and productivity," Southern Economic Journal, John Wiley & Sons, vol. 88(4), pages 1313-1342, April.
    21. T.V.S.Ramamohan Rao, 2011. "Contemporary Relevance and Ongoing Controversies Related to the CES Production Function," Journal of Quantitative Economics, The Indian Econometric Society, vol. 9(2), pages 36-57, July.
    22. Dalgaard, Carl-Johan & Jensen, Martin Kaae, 2009. "Life-cycle savings, bequest, and a diminishing impact of scale on growth," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1639-1647, September.
    23. Mello, Marcelo de Albuquerque e, 2017. "Another Look at Panel Estimates of the Elasticity of Substitution between Capital and Labor," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 37(2), November.

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