IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v13y2020i2p21-d315388.html
   My bibliography  Save this article

How to Explain When the ES Is Lower Than One? A Bayesian Nonlinear Mixed-Effects Approach

Author

Listed:
  • Nguyen Ngoc Thach

    (Institute for Research Science and Banking Technology, Banking University HCMC, Ho Chi Minh City 70000, Vietnam)

Abstract

Most studies in Vietnam use the Cobb-Douglas production function and its modifications for economic analysis. Extremely rigid presumptions are a main weak point of this functional form, particularly if the elasticity of factor substitution (ES) is equal to one, which hides the role of the ES for economic growth. The CES (constant elasticity of substitution) production function with more flexible presumptions, concretely its ES, is not unitary, and has been used more and more widely in economic investigations. So, this study is conducted to estimate the average ES through the specification of an aggregate CES function for the Vietnamese nonfinancial enterprises. By performing Bayesian nonlinear mixed-effects regression via Random-walk Metropolis Hastings (MH) algorithm, based on the data set of the listed nonfinancial enterprises of Vietnam, the author found that the CES function estimated for the researched enterprises has an ES lower than one, i.e., capital and labor are complimentary. This finding shows that Vietnamese nonfinancial enterprises can confront a downward trend of output growth.

Suggested Citation

  • Nguyen Ngoc Thach, 2020. "How to Explain When the ES Is Lower Than One? A Bayesian Nonlinear Mixed-Effects Approach," JRFM, MDPI, vol. 13(2), pages 1-17, February.
  • Handle: RePEc:gam:jjrfmx:v:13:y:2020:i:2:p:21-:d:315388
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/13/2/21/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1911-8074/13/2/21/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Zarembka, Paul, 1970. "On the Empirical Relevance of the CES Production Function," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 47-53, February.
    3. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    4. 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.
    5. Eric Miller, 2008. "An Assessment of CES and Cobb-Douglas Production Functions: Working Paper 2008-05," Working Papers 19992, Congressional Budget Office.
    6. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    7. Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
    8. van der Werf, Edwin, 2007. "Production Functions for Climate Policy Modeling: An Empirical Analysis," Climate Change Modelling and Policy Working Papers 9549, Fondazione Eni Enrico Mattei (FEEM).
    9. Young, Andrew T., 2013. "U.S. Elasticities Of Substitution And Factor Augmentation At The Industry Level," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 861-897, June.
    10. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    11. Marc Nerlove, 1967. "Recent Empirical Studies of the CES and Related Production Functions," NBER Chapters, in: The Theory and Empirical Analysis of Production, pages 55-136, National Bureau of Economic Research, Inc.
    12. C. E. Ferguson, 1965. "The Elasticity of Substitution and the Savings Ratio in the Neoclassical Theory of Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 79(3), pages 465-471.
    13. McFadden, Daniel, 1978. "Estimation Techniques for the Elasticity of Substitution and Other Production Parameters," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 2, chapter 4, McMaster University Archive for the History of Economic Thought.
    14. Francis J. Cronin & Elisabeth Colleran & Mark Gold, 1997. "Telecommunications, Factor Substitution And Economic Growth," Contemporary Economic Policy, Western Economic Association International, vol. 15(3), pages 21-31, July.
    15. 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.
    16. Samuelson, Paul A, 1979. "Paul Douglas's Measurement of Production Functions and Marginal Productivities," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 923-939, October.
    17. George J. Stigler, 1952. "The Ricardian Theory of Value and Distribution," Journal of Political Economy, University of Chicago Press, vol. 60(3), pages 187-187.
    18. Lloyd, Peter J, 1969. "Elementary Geometric/Arithmetic Series and Early Production Theory," Journal of Political Economy, University of Chicago Press, vol. 77(1), pages 21-34, Jan./Feb..
    19. Asher, Ephraim, 1972. "Industrial Efficiency and Biased Technical Change in American and British Manufacturing: The Case of Textiles in the Nineteenth Century," The Journal of Economic History, Cambridge University Press, vol. 32(2), pages 431-442, June.
    20. Blair, Roger D & Kraft, John, 1974. "Estimation of Elasticity of Substitution in American Manufacturing Industry from Pooled Cross-Section and Time-Series Observations," The Review of Economics and Statistics, MIT Press, vol. 56(3), pages 343-347, August.
    21. Yuhn, Ky-hyang, 1991. "Economic Growth, Technical Change Biases, and the Elasticity of Substitution: A Test of the De La Grandville Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 340-346, May.
    22. Yu Hsing, 1996. "An empirical estimation of regional production functions for the U.S. manufacturing industry," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 30(4), pages 351-358.
    23. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    24. Mizon, Grayham E, 1977. "Inferential Procedures in Nonlinear Models: An Application in a UK Industrial Cross Section Study of Factor Substitution and Returns to Scale," Econometrica, Econometric Society, vol. 45(5), pages 1221-1242, July.
    25. Thomas M. Humphrey, 1997. "Algebraic production functions and their uses before Cobb-Douglas," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 51-83.
    26. Schmitz, Mark, 1981. "The elasticity of substitution in 19th-century manufacturing," Explorations in Economic History, Elsevier, vol. 18(3), pages 290-303, July.
    27. van der Werf, Edwin, 2007. "Production Functions for Climate Policy Modeling: An Empirical Analysis," Kiel Working Papers 1316, Kiel Institute for the World Economy (IfW Kiel).
    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. Mauro Bernardi & Stefano Grassi & Francesco Ravazzolo, 2020. "Bayesian Econometrics," JRFM, MDPI, vol. 13(11), pages 1-2, October.
    2. Nguyen Ngoc Thach, 2020. "The Variable Elasticity of Substitution Function and Endogenous Growth: An Empirical Evidence from Vietnam," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(1), pages 263-277.

    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. Knoblach, Michael & Rößler, Martin & Zwerschke, Patrick, 2016. "The Elasticity of Factor Substitution Between Capital and Labor in the U.S. Economy: A Meta-Regression Analysis," CEPIE Working Papers 03/16, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    2. 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.
    3. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, vol. 10(2), pages 1-23, February.
    4. Gechert, Sebastian & Havranek, Tomas & Irsova, Zuzana & Kolcunova, Dominika, 2019. "Death to the Cobb-Douglas Production Function? A Quantitative Survey of the Capital-Labor Substitution Elasticity," EconStor Preprints 203136, ZBW - Leibniz Information Centre for Economics.
    5. Sebastian Gechert & Tomas Havranek & Zuzana Irsova & Dominika Kolcunova, 2022. "Measuring Capital-Labor Substitution: The Importance of Method Choices and Publication Bias," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 55-82, July.
    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. Dawson, John W. & Sturgill, Brad, 2022. "Market Institutions and Factor Shares Across Countries," Structural Change and Economic Dynamics, Elsevier, vol. 60(C), pages 266-289.
    8. Nguyen Ngoc Thach, 2020. "Macroeconomic Growth in Vietnam Transitioned to Market: An Unrestricted VES Framework," Economies, MDPI, vol. 8(3), pages 1-15, July.
    9. Antonio Cutanda, 2022. "The elasticity of substitution and labor-saving innovations in the Spanish regions," Estudios de Economia, University of Chile, Department of Economics, vol. 49(2 Year 20), pages 123-144, December.
    10. Xue, Jianpo & Yip, Chong K., 2013. "Aggregate elasticity of substitution and economic growth: A synthesis," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 60-75.
    11. Mallick, Debdulal, 2012. "The role of the elasticity of substitution in economic growth: A cross-country investigation," Labour Economics, Elsevier, vol. 19(5), pages 682-694.
    12. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    13. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    14. Song, Eunbi, 2021. "What drives labor share change? Evidence from Korean industries," Economic Modelling, Elsevier, vol. 94(C), pages 370-385.
    15. Lawrence Robert Z., 2015. "Recent Declines in Labor's Share in U.S. Income: A Preliminary Neoclassical Account," Working Paper Series rwp15-034, Harvard University, John F. Kennedy School of Government.
    16. Samuele Ialenti & Guido Pialli, 2024. "The increase in the elasticity of substitution between capital and labour: a repeated cross-country investigation," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 33(3), pages 380-400, April.
    17. Chris Papageorgiou & Kaz Miyagiwa, 2003. "The Elasticity of Substitution, Hicks' Conjectures, and Economic Growth," Departmental Working Papers 2003-08, Department of Economics, Louisiana State University.
    18. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    19. Havranek, Tomas & Irsova, Zuzana & Gechert, Sebastian & Kolcunova, Dominika, 2019. "Death to the Cobb-Douglas Production Function? A Meta-Analysis of the Capital-Labor Substitution Elasticity," MetaArXiv 6um5g, Center for Open Science.
    20. Jakub Growiec, 2008. "A new class of production functions and an argument against purely labor‐augmenting technical change," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 483-502, December.

    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:gam:jjrfmx:v:13:y:2020:i:2:p:21-:d:315388. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.