Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/deg/conpap/c017_011.html
   My bibliography  Save this paper

Aggregate Elasticity of Substitution and Economic Growth: A Synthesis

Author

Listed:
  • Jianpo Xue
  • Chong K. Yip
Abstract
This paper examines the relation between aggregate elasticity of substitution (AES) and capital accumulation (the AES-K relation) in a general multi-sector Solow growth model with all CES production technologies. There are two intermediate goods produced by capital and labor, while the final good is produced by combining the two intermediate goods. When capital is sector-specific, then it is found that a positive AES-K relation emerges ony if the elasticity of substitution (ES) between capital and labor is of the same sign as the ES between the inter-mediate goods, but with the latter having a larger magnitude as required by the restriction of capital-skill complementarity. We also introduce the concepts of "global" versus "local" AES-capital relation and highlight that the AES findings of the existing literature are local ones. The general conclusion of our analysis is that capital mobility is an important factor for the likelihood of a positive AES-K relation.

Suggested Citation

  • Jianpo Xue & Chong K. Yip, 2012. "Aggregate Elasticity of Substitution and Economic Growth: A Synthesis," DEGIT Conference Papers c017_011, DEGIT, Dynamics, Economic Growth, and International Trade.
    • Handle: RePEc:deg:conpap:c017_011
    as

    Download full text from publisher

    File URL: http://degit.sam.sdu.dk/papers/degit_17/C017_011.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    2. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2008. "Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 645-666, June.
    3. Claude Diebolt & Catherine Kyrtsou, 2005. "New Trends in Macroeconomics," Post-Print hal-00279607, HAL.
    4. Xue, Jianpo & Yip, Chong K., 2012. "Factor Substitution And Economic Growth: A Unified Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(4), pages 625-656, September.
    5. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    6. 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.
    7. Matthew J. Lindquist, 2004. "Capital-Skill Complementarity and Inequality Over the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 519-540, July.
    8. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    9. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    10. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    11. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    12. Palivos, Theodore & Karagiannis, Giannis, 2010. "The Elasticity Of Substitution As An Engine Of Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 14(5), pages 617-628, November.
    13. 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.
    14. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    15. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
    16. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    17. Ronald W. Jones, 2018. "The Structure of Simple General Equilibrium Models," World Scientific Book Chapters, in: International Trade Theory and Competitive Models Features, Values, and Criticisms, chapter 4, pages 61-84, World Scientific Publishing Co. Pte. Ltd..
    18. Claude Diebolt & Catherine Kyrtsou (ed.), 2005. "New Trends in Macroeconomics," Springer Books, Springer, number 978-3-540-28556-4, February.
    19. Mr. Sergio Rebelo & Ms. Piyabha Kongsamut & Danyang Xie, 2001. "Beyond Balanced Growth," IMF Working Papers 2001/085, International Monetary Fund.
    20. J. R. Hicks, 1963. "The Theory of Wages," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-00189-7, December.
    21. Giannis Karagiannis & Theodore Palivos & Chris Papageorgiou, 2005. "Variable Elasticity of Substitution and Economic Growth: Theory and Evidence," Springer Books, in: Claude Diebolt & Catherine Kyrtsou (ed.), New Trends in Macroeconomics, pages 21-37, Springer.
    22. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    23. Claudia Goldin & Lawrence F. Katz, 1998. "The Origins of Technology-Skill Complementarity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 693-732.
    24. 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.
    25. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    26. Chris Papageorgiou & Marianne Saam, 2008. "Two‐level CES Production Technology in the Solow and Diamond Growth Models," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(1), pages 119-143, March.
    27. Matthew J. Lindquist, 2005. "Capital–Skill Complementarity and Inequality in Sweden," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(4), pages 711-735, December.
    28. 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.
    29. Daniel J. Henderson, 2009. "A Non‐parametric Examination of Capital–Skill Complementarity," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(4), pages 519-538, August.
    30. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
    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. Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    2. Growiec, Jakub, 2022. "Automation, Partial And Full," Macroeconomic Dynamics, Cambridge University Press, vol. 26(7), pages 1731-1755, October.
    3. Wymer, Clifford R. & Saltari, Enrico & Federici, Daniela, 2019. "Endogenizing The Ict Sector: A Multisector Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 23(S1), pages 25-58, September.
    4. 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.
    5. Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    6. Florentine Schwark & Andreas Tryphonides, 2024. "The Effects of Digitalization on Production," University of Cyprus Working Papers in Economics 02-2024, University of Cyprus Department of Economics.
    7. Zha, Donglan & Kavuri, Anil Savio & Si, Songjian, 2018. "Energy-biased technical change in the Chinese industrial sector with CES production functions," Energy, Elsevier, vol. 148(C), pages 896-903.

    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. 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.
    2. Manuel A. Gómez, 2020. "Factor substitution, long‐run growth, and speed of convergence in the one‐sector convex endogenous‐growth model," Metroeconomica, Wiley Blackwell, vol. 71(1), pages 2-21, February.
    3. Litina, Anastasia & Palivos, Theodore, 2010. "The Behavior Of The Saving Rate In The Neoclassical Optimal Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 14(4), pages 482-500, September.
    4. Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    5. Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    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. 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.
    8. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    9. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    10. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    11. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    12. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    13. Chris Papageorgiou & Marianne Saam, 2008. "Two‐level CES Production Technology in the Solow and Diamond Growth Models," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(1), pages 119-143, March.
    14. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    15. Debdulal Mallick, 2012. "The role of capital‐labour substitution in economic growth," Indian Growth and Development Review, Emerald Group Publishing Limited, vol. 5(1), pages 89-101, April.
    16. Alvarez-Cuadrado, Francisco & Long, Ngo & Poschke, Markus, 2017. "Capital-labor substitution, structural change and growth," Theoretical Economics, Econometric Society, vol. 12(3), September.
    17. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    18. 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).
    19. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    20. 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.

    More about this item

    Keywords

    Aggregate elasticity of substitution (AES); Normalized CES production function; Global and local AES-capital relations.;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

    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:deg:conpap:c017_011. 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: Jan Pedersen (email available below). General contact details of provider: https://edirc.repec.org/data/iehhsdk.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.