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A new class of production functions and an argument against purely labor-augmenting technical change

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  • GROWIEC, Jakub

Abstract

This paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of labor- and capital-augmenting developments. Using the Clayton copula family to capture this dependence, we derive a 'Clayton-Pareto' class of production functions that nests both the Cobb-Douglas and the CES. Embedding the resultant production function in a neoclassical growth framework, we draw conclusions for the long-run direction of technical change. Jones' result of Cobb-Douglas global production functions and purely laboraugmenting technical change hinges on the assumption of independence of marginal Pareto distributions. In our more general case, the shape of local production functions matters for the shape of the global production function, and technical change augments both factors in the long run. Furthermore, the elasticity of substitution between capital and labor may exceed unity and thus yield endogenous growth.

Suggested Citation

  • GROWIEC, Jakub, 2006. "A new class of production functions and an argument against purely labor-augmenting technical change," CORE Discussion Papers 2006056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2006056
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Jakub Growiec, 2008. "Productivity Differences Across OECD Countries, 1970-2000: The World Technology Frontier Revisited," IBS Working Papers 1/2008, Instytut Badan Strukturalnych.
    2. 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.
    3. 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.
    4. Rohan Dutta & David K. Levine & Nicholas W. Papageorge & Lemin Wu, 2018. "Entertaining Malthus: Bread, Circuses, And Economic Growth," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 358-380, January.
    5. Jakub Growiec & Jakub Muck, 2015. "Isoelastic Elasticity of Substitution Production Functions," Discussion Papers 15-13, University of Copenhagen. Department of Economics.
    6. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    7. Growiec, Jakub, 2015. "On the modeling of size distributions when technologies are complex," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 1-8.
    8. Harashima, Taiji, 2017. "A Theory on the Economic Impacts of Immigration," MPRA Paper 78821, University Library of Munich, Germany.
    9. 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.
    10. McAdam, Peter & Willman, Alpo, 2008. "Medium run redux: technical change, factor shares and frictions in the euro area," Working Paper Series 915, European Central Bank.
    11. McAdam, Peter & Willman, Alpo, 2013. "Medium Run Redux," Macroeconomic Dynamics, Cambridge University Press, vol. 17(04), pages 695-727, June.
    12. Harashima, Taiji, 2011. "A Model of Total Factor Productivity Built on Hayek’s View of Knowledge: What Really Went Wrong with Socialist Planned Economies?," MPRA Paper 29107, University Library of Munich, Germany.
    13. Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 86-94.
    14. 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 Group Munich.
    15. Jakub Growiec, 2012. "The World Technology Frontier: What Can We Learn from the US States?-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(6), pages 777-807, December.
    16. 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.
    17. Harashima, Taiji, 2009. "A Theory of Total Factor Productivity and the Convergence Hypothesis: Workers’ Innovations as an Essential Element," MPRA Paper 15508, University Library of Munich, Germany.
    18. Harashima, Taiji, 2012. "A Theory of Intelligence and Total Factor Productivity: Value Added Reflects the Fruits of Fluid Intelligence," MPRA Paper 43151, University Library of Munich, Germany.

    More about this item

    Keywords

    global production function; technology frontier; CES; Pareto distribution; Clayton copula;

    JEL classification:

    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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