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Production functions and distributions of unit factor productivities: Uncovering the link

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  • Growiec, Jakub

Abstract

We derive a reversible "endogenous technology choice transform," according to which firm-level production functions and distributions of unit factor productivities are two sides of the same coin. The Cobb-Douglas function relates to Pareto distributions, and the CES to Weibull distributions.

Suggested Citation

  • Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
  • Handle: RePEc:eee:ecolet:v:101:y:2008:i:1:p:87-90
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    References listed on IDEAS

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    1. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    2. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 517-549.
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    Cited by:

    1. 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.
    2. Jakub Growiec & Jakub Muck, 2015. "Isoelastic Elasticity of Substitution Production Functions," Discussion Papers 15-13, University of Copenhagen. Department of Economics.
    3. 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.
    4. Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, pages 86-94.
    5. 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.
    6. 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.
    7. Матвеенко В.Д. & Бронштейн Е.М., 2016. "О Свойствах Производственных Ces-Функций В Модели Производства С Промежуточными Товарами," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 52(2), pages 91-102, апрель.
    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. McAdam, Peter & Muck, Jakub & Growiec, Jakub, 2015. "Endogenous labor share cycles: theory and evidence," Working Paper Series 1765, European Central Bank.
    10. Growiec, Jakub, 2015. "On the modeling of size distributions when technologies are complex," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 1-8.
    11. repec:eee:jetheo:v:172:y:2017:i:c:p:376-409 is not listed on IDEAS
    12. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, pages 376-409.
    13. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, pages 2336-2350.
    14. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, pages 294-303.
    15. McAdam, Peter & Willman, Alpo, 2013. "Medium Run Redux," Macroeconomic Dynamics, Cambridge University Press, vol. 17(04), pages 695-727, June.

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