IDEAS home Printed from https://ideas.repec.org/a/spr/italej/vyid10.1007_s40797-020-00132-1.html
   My bibliography  Save this article

Welfare and Convergence Speed in the Ramsey Model Under Two Classes of Gorman Preferences

Author

Listed:
  • Wilson Cruz Vieira

    (Federal University of Viçosa)

  • Alberto Bucci

    (University of Milan)

  • Simone Marsiglio

    (University of Pisa)

Abstract

Using a one-sector, discrete-time Ramsey model, we analyze and compare the implications for welfare, capital accumulation, and speed of convergence to the steady state of two classes of utility functions that represent Gorman preferences, namely homothetic and Stone–Geary preferences. For identical economies, we show that the preference structure does not affect only the capital dynamics and social welfare but also the speed of convergence to the steady-state equilibrium.

Suggested Citation

  • Wilson Cruz Vieira & Alberto Bucci & Simone Marsiglio, 0. "Welfare and Convergence Speed in the Ramsey Model Under Two Classes of Gorman Preferences," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 0, pages 1-22.
    • Handle: RePEc:spr:italej:v::y::i::d:10.1007_s40797-020-00132-1
    DOI: 10.1007/s40797-020-00132-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40797-020-00132-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40797-020-00132-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Araujo, A, 1991. "The Once but Not Twice Differentiability of the Policy Function," Econometrica, Econometric Society, vol. 59(5), pages 1383-1393, September.
    2. 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.
    3. Thomas F. Crossley & Hamish W. Low, 2011. "Is The Elasticity Of Intertemporal Substitution Constant?," Journal of the European Economic Association, European Economic Association, vol. 9(1), pages 87-105, February.
    4. repec:hoo:wpaper:e-92-3 is not listed on IDEAS
    5. Steger, Thomas M., 2000. "Economic growth with subsistence consumption," Journal of Development Economics, Elsevier, vol. 62(2), pages 343-361, August.
    6. Matsuyama, Kiminori, 1992. "Agricultural productivity, comparative advantage, and economic growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 317-334, December.
    7. V. V. Chari & Patrick J. Kehoe, 2006. "Modern Macroeconomics in Practice: How Theory Is Shaping Policy," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 3-28, Fall.
    8. Ariel Rubinstein, 2012. "Lecture Notes in Microeconomic Theory: The Economic Agent Second Edition," Economics Books, Princeton University Press, edition 2, number 9742.
    9. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497701.
    10. de la Fuente, Angel, 1997. "The empirics of growth and convergence: A selective review," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 23-73, January.
    11. Ortigueira, Salvador & Santos, Manuel S, 1997. "On the Speed of Convergence in Endogenous Growth Models," American Economic Review, American Economic Association, vol. 87(3), pages 383-399, June.
    12. Mr. Sergio Rebelo & Ms. Piyabha Kongsamut & Danyang Xie, 2001. "Beyond Balanced Growth," IMF Working Papers 2001/085, International Monetary Fund.
    13. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497190.
    14. Xavier Irz & Terry Roe, 2005. "Seeds of growth? Agricultural productivity and the transitional dynamics of the Ramsey model," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 32(2), pages 143-165, June.
    15. Robert A. Pollak, 1971. "Additive Utility Functions and Linear Engel Curves," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(4), pages 401-414.
    16. Chatterjee, Satyajit & Ravikumar, B., 1999. "Minimum Consumption Requirements: Theoretical And Quantitative Implications For Growth And Distribution," Macroeconomic Dynamics, Cambridge University Press, vol. 3(4), pages 482-505, December.
    17. John S. Chipman, 2006. "Aggregation and Estimation in the Theory of Demand," History of Political Economy, Duke University Press, vol. 38(5), pages 106-129, Supplemen.
    18. Giuseppe Bertola & Reto Foellmi & Josef Zweimüller, 2005. "Income Distribution in Macroeconomic Models," Economics Books, Princeton University Press, edition 1, number 8058.
    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. Fabio Monteforte & Mathan Satchi & Jonathan R. W. Temple, 2021. "Development priorities: the relative benefits of agricultural growth," Oxford Economic Papers, Oxford University Press, vol. 73(3), pages 1122-1152.
    2. Cao, Kang Hua & Birchenall, Javier A., 2013. "Agricultural productivity, structural change, and economic growth in post-reform China," Journal of Development Economics, Elsevier, vol. 104(C), pages 165-180.
    3. Diego Comin & Danial Lashkari & Martí Mestieri, 2021. "Structural Change With Long‐Run Income and Price Effects," Econometrica, Econometric Society, vol. 89(1), pages 311-374, January.
    4. Volker Grossmann, 2013. "Structural Change, Urban Congestion, and the End of Growth," Review of Development Economics, Wiley Blackwell, vol. 17(2), pages 165-181, May.
    5. Matthias Kalkuhl & Ottmar Edenhofer, 2017. "Ramsey meets Thünen: the impact of land taxes on economic development and land conservation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(2), pages 350-380, April.
    6. Jaime Alonso-Carrera & Giulia Felice & Xavier Raurich, 2018. "Inequality and Structural Change under Non-Linear Engels' Curve," UB School of Economics Working Papers 2018/374, University of Barcelona School of Economics.
    7. Monteforte, Fabio, 2020. "Structural change, the push-pull hypothesis and the Spanish labour market," Economic Modelling, Elsevier, vol. 86(C), pages 148-169.
    8. Dietrich Vollrath, 2009. "The dual economy in long-run development," Journal of Economic Growth, Springer, vol. 14(4), pages 287-312, December.
    9. Yi Li, 2020. "Internet Development and Structural Transformation: Evidence from China," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 10(1), pages 1-8.
    10. 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.
    11. Dalila Nicet-Chenaf & Eric Rougier, 2009. "Human capital and structural change: how do they interact with each others in growth," Post-Print hal-00798441, HAL.
    12. Alonso-Carrera, Jaime & Raurich, Xavier, 2015. "Demand-based structural change and balanced economic growth," Journal of Macroeconomics, Elsevier, vol. 46(C), pages 359-374.
    13. Üngör, Murat, 2014. "Some thought experiments on the changes in labor supply in Turkey," Economic Modelling, Elsevier, vol. 39(C), pages 265-272.
    14. Kamei, Keita, 2013. "Does Agricultural Productivity Growth Promote a Dynamic Comparative Advantage in the Manufacturing Sector?," MPRA Paper 48603, University Library of Munich, Germany.
    15. Alvarez-Cuadrado, Francisco & Long, Ngo & Poschke, Markus, 2017. "Capital-labor substitution, structural change and growth," Theoretical Economics, Econometric Society, vol. 12(3), September.
    16. Loupias, Claire & Wigniolle, Bertrand, 2019. "Technological changes and population growth: The role of land in England," Economic Modelling, Elsevier, vol. 79(C), pages 198-210.
    17. Been-Lon Chen & Shian-Yu Liao, 2015. "The Role of Agricultural Productivity on Structural Change," Review of Development Economics, Wiley Blackwell, vol. 19(4), pages 971-987, November.
    18. Tasso Adamopoulos & Fernando Leibovici, 2024. "Trade Risk and Food Security," Working Papers 2024-004, Federal Reserve Bank of St. Louis, revised Feb 2024.
    19. Igor Pospelov & Stanislav Radionov, 2013. "Multisector monopolistic competition model," HSE Working papers WP BRP 34/EC/2013, National Research University Higher School of Economics.
    20. Gangopadhyay, Kausik & Mondal, Debasis, 2021. "Productivity, relative sectoral prices, and total factor productivity: Theory and evidence," Economic Modelling, Elsevier, vol. 100(C).

    More about this item

    Keywords

    Ramsey model; Preferences; Convergence speed; Social welfare;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

    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:spr:italej:v::y::i::d:10.1007_s40797-020-00132-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.