IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/33576.html
   My bibliography  Save this paper

Cobb-Douglas production function revisited, VAR and VECM analysis and a note on Fischer/Cobb-Douglass paradox

Author

Listed:
  • Josheski, Dushko
  • Lazarov, Darko
  • Koteski, Cane

Abstract

Cobb-Douglas production function is a basic function in growth models. The modeling in this paper showed that VAR is stable; KPSS test showed that output, capital and labor are not trend stationary. Johansen’s co-integration test showed that a requirement for Fischer/Cobb-Douglass paradox to work is met at 3 lags, there factor shares are I(0). The Fisher/Cobb-Douglas Paradox is based on constant factor shares. (In terms of time-series analysis, such constancy is equivalent to factor shares being I(0). The Fisher/Cobb-Douglas Paradox is thus why the estimated σ equals unity independent of the underlying production technologies generating the simulated data.At 4 lags however these variables are I(1) variables i.e. Cobb-Douglass is not CES function anymore. ADF test for factors of production showed that natural logarithm of capital is stationary variable, while log of labor is not-stationary except at 10% level of significance. Adjustment parameters showed that labour responds more / faster than loutput (log of GDP) and lcapital on if there is change / shock in the system.VECM model failed the stability eingevalues test.

Suggested Citation

  • Josheski, Dushko & Lazarov, Darko & Koteski, Cane, 2011. "Cobb-Douglas production function revisited, VAR and VECM analysis and a note on Fischer/Cobb-Douglass paradox," MPRA Paper 33576, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:33576
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/33576/1/MPRA_paper_33576.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    2. 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.
    3. Nicholas Kaldor, 1961. "Capital Accumulation and Economic Growth," International Economic Association Series, in: D. C. Hague (ed.), The Theory of Capital, chapter 0, pages 177-222, Palgrave Macmillan.
    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. Lau, Sau-Him Paul & Sin, Chor-Yiu, 1997. "Observational equivalence and a stochastic cointegration test of the neoclassical and Romer's increasing returns models," Economic Modelling, Elsevier, vol. 14(1), pages 39-60, January.
    2. Ivan D. TROFIMOV & Nazaria Md. ARIS & Muhammad Khairil Firdaus Bin ROSLI, 2018. "Macroeconomic determinants of the labour share of income: Evidence from OECD economies," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(3(616), A), pages 25-48, Autumn.
    3. Domenico Giannone & Michele Lenza & Giorgio E. Primiceri, 2019. "Priors for the Long Run," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(526), pages 565-580, April.
    4. Trofimov, Ivan D. & Md. Aris, Nazaria & Bin Rosli, Muhammad K. F., 2018. "Macroeconomic Determinants of the Labour Share of Income: Evidence from OECD Economies," MPRA Paper 85597, University Library of Munich, Germany.
    5. Santos, João & Domingos, Tiago & Sousa, Tânia & St. Aubyn, Miguel, 2016. "Does a small cost share reflect a negligible role for energy in economic production? Testing for aggregate production functions including capital, labor, and useful exergy through a cointegration-base," MPRA Paper 70850, University Library of Munich, Germany.
    6. MASWANA, Jean-Claude & FAROOKI, Masuma, 2013. "African Economic Growth Prospects: A Resource Curse Perspective," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 13(2), pages 169-182.
    7. Joao Paulo A. de Souza, 2014. "Real wages and labor-saving technical change: evidence from a panel of manufacturing industries in mature and labor-surplus economies," UMASS Amherst Economics Working Papers 2014-03, University of Massachusetts Amherst, Department of Economics.
    8. 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.
    9. 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.
    10. Ottaviano, Gianmarco & Peri, Giovanni, 2008. "Immigration and National Wages: Clarifying the Theory and the Empirics," CEPR Discussion Papers 6916, C.E.P.R. Discussion Papers.
    11. Gilberto Tadeu Lima, 2000. "Market concentration and technological innovation in a dynamic model of growth and distribution," BNL Quarterly Review, Banca Nazionale del Lavoro, vol. 53(215), pages 447-475.
    12. van de Klundert, T.C.M.J. & Smulders, J.A., 1991. "Reconstructing growth theory : A survey," Other publications TiSEM 19355c51-17eb-4d5d-aa66-b, Tilburg University, School of Economics and Management.
    13. Gianmarco I. P. Ottaviano & Giovanni Peri, 2021. "Rethinking The Effect Of Immigration On Wages," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 9, pages 245-290, World Scientific Publishing Co. Pte. Ltd..
    14. Nancy Birdsall, 2008. "Income Distribution: Effects on Growth and Development," Chapters, in: Amitava Krishna Dutt & Jaime Ros (ed.), International Handbook of Development Economics, Volumes 1 & 2, volume 0, chapter 48, Edward Elgar Publishing.
    15. Ageliki Anagnostou & Ioannis Panteladis & Maria Tsiapa, 2015. "Disentangling different patterns of business cycle synchronicity in the EU regions," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 42(3), pages 615-641, August.
    16. 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.
    17. Gianmarco I.P. Ottaviano & Giovanni Peri, 2005. "Rethinking the Gains from Immigration: Theory and Evidence from the U.S," NBER Working Papers 11672, National Bureau of Economic Research, Inc.
    18. Kahn, James A. & Rich, Robert W., 2007. "Tracking the new economy: Using growth theory to detect changes in trend productivity," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1670-1701, September.
    19. 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.
    20. Kapetanios, George & Millard, Stephen & Price, Simon & Petrova, Katerina, 2018. "Time varying cointegration and the UK Great Ratios," Essex Finance Centre Working Papers 23320, University of Essex, Essex Business School.

    More about this item

    Keywords

    Fisher/Cobb-Douglas Paradox; cointegration; VAR; VECM; ADF test ; unit root;
    All these keywords.

    JEL classification:

    • B22 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Macroeconomics
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    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:pra:mprapa:33576. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.