IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-00589627.html
   My bibliography  Save this paper

Technical change in a neoclassical two-sector model of optimal growth

Author

Listed:
  • Mehdi Senouci

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - ENPC - École des Ponts ParisTech - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper investigates into the consequences of sector-speci c technological progress in a two-sector, optimal growth model. In accordance with existing theory, we find that consumption-specifi c Hicks-neutral technical shocks increase consumption but leave other parameters unchanged. Hicks-neutral, investment-specifi c technical shocks increase the wage-rental ratio, and increase steady-state consumption by a factor equal to the macroeconomic ratio of capital share to labor share. If the elasticity of substitution is equal to one in the long run, the growth regime with only investment-specifi c technical change is sustainable and asymptotically balanced.

Suggested Citation

  • Mehdi Senouci, 2012. "Technical change in a neoclassical two-sector model of optimal growth," Working Papers halshs-00589627, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00589627
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00589627v2
    as

    Download full text from publisher

    File URL: https://halshs.archives-ouvertes.fr/halshs-00589627v2/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. H. Uzawa, 1971. "On a Two-Sector Model of Economic Growth," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 3, pages 19-26, Palgrave Macmillan.
    2. Litina, Anastasia & Palivos, Theodore, 2008. "Do Inada conditions imply that production function must be asymptotically Cobb-Douglas? A comment," Economics Letters, Elsevier, vol. 99(3), pages 498-499, June.
    3. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    4. Cremers, Emily T., 2006. "Dynamic efficiency in the two-sector overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 1915-1936, November.
    5. Mehdi Senouci, 2011. "Optimal growth and the golden rule in a two-sector model of capital accumulation," Working Papers halshs-00572510, HAL.
    6. L. Ngai & Roberto Samaniego, 2009. "Mapping prices into productivity in multisector growth models," Journal of Economic Growth, Springer, vol. 14(3), pages 183-204, September.
    7. Whelan, Karl, 2003. "A Two-Sector Approach to Modeling U.S. NIPA Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(4), pages 627-656, August.
    8. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    9. Karl Whelan, 2004. "New evidence on balanced growth, stochastic trends, and economic fluctuations," Open Access publications 10197/218, School of Economics, University College Dublin.
    10. Jones, Charles I., 1994. "Economic growth and the relative price of capital," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 359-382, December.
    11. Hirofumi Uzawa, 1964. "Optimal Growth in a Two-Sector Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 31(1), pages 1-24.
    12. Barelli, Paulo & de Abreu Pessoa, Samuel, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," Economics Letters, Elsevier, vol. 81(3), pages 361-363, December.
    13. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 32(3), pages 233-240.
    14. Michael Gort & Jeremy Greenwood & Peter Rupert, 1999. "How much of economic growth is fueled by investment-specific technological progress?," Economic Commentary, Federal Reserve Bank of Cleveland, issue Mar.
    15. Fisher, Jonas D. M., 1997. "Relative prices, complementarities and comovement among components of aggregate expenditures," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 449-474, August.
    16. Joan Robinson, 1962. "A Neo-Classical Theorem," Review of Economic Studies, Oxford University Press, vol. 29(3), pages 219-226.
    17. Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers Archive 34856, Iowa State University, Department of Economics.
    18. Robert C. Allen, 2005. "Capital Accumulation, Technological Change, and the Distribution of Income during the British Industrial Revolution," Economics Series Working Papers 239, University of Oxford, Department of Economics.
    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. Mehdi Senouci, 2011. "Optimal growth and the golden rule in a two-sector model of capital accumulation," PSE Working Papers halshs-00572510, HAL.
    2. L. Ngai & Roberto Samaniego, 2009. "Mapping prices into productivity in multisector growth models," Journal of Economic Growth, Springer, vol. 14(3), pages 183-204, September.
    3. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    4. Igor Fedotenkov, 2014. "Optimal asymmetric taxation in a two-sector model with population ageing," Bank of Lithuania Working Paper Series 15, Bank of Lithuania.
    5. Peter Ireland & Scott Schuh, 2008. "Productivity and U.S. Macroeconomic Performance: Interpreting the Past and Predicting the Future with a Two-Sector Real Business Cycle Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 473-492, July.
    6. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    7. Drugeon, Jean-Pierre & Nourry, Carine & Venditti, Alain, 2010. "On efficiency and local uniqueness in two-sector OLG economies," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 120-144, January.
    8. Nourry, Carine & Venditti, Alain, 2011. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 164-169, March.
    9. Wei-Bin Zhang, 2018. "Business Cycles In A General Equilibrium Dynamic Model With Land Value And Rent," Economic Annals, Faculty of Economics, University of Belgrade, vol. 63(216), pages 7-34, January –.
    10. Ma, Xiaohan & Samaniego, Roberto, 2022. "Business cycle dynamics when neutral and investment-specific technology shocks are imperfectly observable," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    11. Per Krusell & Anthony A. Smith Jr., 2015. "Is Piketty's "Second Law of Capitalism" Fundamental?," Journal of Political Economy, University of Chicago Press, vol. 123(4), pages 725-748.
    12. Wei-Bin Zhang, 2017. "Spatial Agglomeration And Economic Development With The Inclusion Of Interregional Tourism," Economic Annals, Faculty of Economics, University of Belgrade, vol. 62(213), pages 93-128, April - J.
    13. Lecocq, Franck & Shalizi, Zmarak, 2007. "How might climate change affect economic growth in developing countries ? a review of the growth literature with a climate lens," Policy Research Working Paper Series 4315, The World Bank.
    14. Peter N. Ireland, 2009. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," American Economic Review, American Economic Association, vol. 99(3), pages 1040-1052, June.
    15. de la Fonteijne, Marcel R., 2018. "Why the concept of Hicks, Harrod, Solow neutral and even non-neutral augmented technical progress is flawed in principle in any economic model," MPRA Paper 107730, University Library of Munich, Germany.
    16. Wei-Bin ZHANG, 2015. "Tourism, Trade And Wealth Accumulation With Endogenous Income And Wealth Distribution Among Countries," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 4(1), pages 1-1, January.
    17. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.
    18. Igor Fedotenkov, 2019. "Optimal asymmetric sector-specific labour taxation in an overlapping generations model," Journal of Economics, Springer, vol. 127(1), pages 1-18, June.
    19. Fukao Kyoji & Hamada Koichi, 1994. "International Trade and Investment under Different Rates of Time Preference," Journal of the Japanese and International Economies, Elsevier, vol. 8(1), pages 22-52, March.
    20. Michael T. Kiley & Jean-Philippe Laforte & Rochelle M. Edge, 2008. "The Sources of Fluctuations in Residential Investment: A View from a Policy-Oriented DSGE Model of the U.S. Economic," 2008 Meeting Papers 990, Society for Economic Dynamics.
    21. Herrendorf, Berthold & Rogerson, Richard & Valentinyi, Ákos, 2014. "Growth and Structural Transformation," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 6, pages 855-941, Elsevier.

    More about this item

    Keywords

    Productivity; optimal growth; golden rule; two-sector models;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal:wpaper:halshs-00589627. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.