IDEAS home Printed from https://ideas.repec.org/p/spa/wpaper/2013wpecon18.html
   My bibliography  Save this paper

A Path Through the Wilderness: Time Discounting in Growth Models

Author

Listed:
  • Pedro Garcia Duarte

Abstract

Although economists have recognized long ago that “time enters into all economic questions”, the ways they treated and modeled time has varied substantially in the last century. While in the 1930s there was a distinctive Cambridge tradition against discounting utilities of future generations, to which Frank Ramsey subscribed, postwar neoclassical growth economists (of the “Ramsey-Cass-Koopmans model”) applied the discount factor either to individual’s or to social planner’s decision-making as a technical requirement of dynamic general equilibrium models. My goal in this article is to shed some historical light on how a practice that was condemned as ethically indefensible when applied to intergenerational comparisons became a technical requirement in dynamic models of either a consumer or a planner deciding the intertemporal allocation of resources.

Suggested Citation

  • Pedro Garcia Duarte, 2013. "A Path Through the Wilderness: Time Discounting in Growth Models," Working Papers, Department of Economics 2013_18, University of São Paulo (FEA-USP).
  • Handle: RePEc:spa:wpaper:2013wpecon18
    as

    Download full text from publisher

    File URL: http://hope.dukejournals.org/content/48/2/265.abstract?sid=dafea58f-c100-48cf-bab0-9d73be553ec5
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Paul A. Samuelson & Robert M. Solow, 1956. "A Complete Capital Model Involving Heterogeneous Capital Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(4), pages 537-562.
    2. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, December.
    3. David Gale, 1967. "On Optimal Development in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 1-18.
    4. Robert J. Barro & Xavier Sala-i-Martin, 2003. "Economic Growth, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262025531, December.
    5. Brock, William A, 1973. "Some Results on the Uniqueness of Steady States in Multisector Models of Optimum Growth when Future Utilities are Discounted," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 535-559, October.
    6. Gordon Tullock, 1964. "The Social Rate of Discount and the Optimal Rate of Investment: Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 78(2), pages 331-336.
    7. Albert Gailord Hart, 1937. "Anticipations, Business Planning, and the Cycle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 51(2), pages 273-297.
    8. Michel De Vroey, 2004. "The History of Macroeconomics Viewed against the Background of the Marshall-Walras Divide," History of Political Economy, Duke University Press, vol. 36(5), pages 57-91, Supplemen.
    9. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    10. Stephen A. Marglin, 1963. "The Social Rate of Discount and The Optimal Rate of Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 77(1), pages 95-111.
    11. Collard, David, 1996. "Pigou and Future Generations: A Cambridge Tradition," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 20(5), pages 585-597, September.
    12. Marcel Boyer, 1975. "An Optimal Growth Model with Stationary Non-Additive Utilities," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 216-237, May.
    13. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    14. Hiroshi Atsumi, 1965. "Neoclassical Growth and the Efficient Program of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 127-136.
    15. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    16. K. E. Boulding, 1935. "The Theory of a Single Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 49(3), pages 475-494.
    17. Mario Pomini & Gianfranco Tusset, 2009. "Habits and Expectations: Dynamic General Equilibrium in the Italian Paretian School," History of Political Economy, Duke University Press, vol. 41(2), pages 311-342, Summer.
    18. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    19. Pedro Garcia Duarte, 2009. "Frank P. Ramsey: A Cambridge Economist," History of Political Economy, Duke University Press, vol. 41(3), pages 445-470, Fall.
    20. Brock, William A & Mirman, Leonard J, 1973. "Optimal Economic Growth and Uncertainty: The No Discounting Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 560-573, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. To discount or not to discount?
      by Economic Logician in Economic Logic on 2013-12-13 00:09:00

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Franco, Marco P.V. & Gaspard, Marion & Mueller, Thomas, 2019. "Time discounting in Harold Hotelling's approach to natural resource economics: The unsolved ethical question," Ecological Economics, Elsevier, vol. 163(C), pages 52-60.
    2. Matheus Assaf & Pedro Garcia Duarte, 2018. "Utility Matters: Edmond Malinvaud and growth theory in the 1950s and 1960s," Working Papers, Department of Economics 2018_03, University of São Paulo (FEA-USP).

    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. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    2. Karbowski, Adam, 2016. "Discussion on the Social Rate of Discount: from Sen to Behavioural Economics," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 9(2), pages 46-60.
    3. Gourinchas, Pierre-Olivier & Rey, Hélène, 2014. "External Adjustment, Global Imbalances, Valuation Effects," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 585-645, Elsevier.
    4. Philippe Darreau & Francois Pigalle, 2017. "International financial integration: Ramsey vs Solow," Economics Bulletin, AccessEcon, vol. 37(2), pages 1381-1392.
    5. Michel, Philippe, 1992. "Croissance et équilibre intertemporel : une présentation simple d’un modèle de base," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 99-126, mars et j.
    6. Etro, Federico, 2017. "Research in economics and macroeconomics," Research in Economics, Elsevier, vol. 71(3), pages 373-383.
    7. Truman Bewley, 2010. "An Integration of Equilibrium Theory and Turnpike Theory," Levine's Working Paper Archive 1381, David K. Levine.
    8. Alogoskoufis, George, 2021. "Asymmetries of financial openness in an optimal growth model," The Journal of Economic Asymmetries, Elsevier, vol. 23(C).
    9. Fujio, Minako, 2008. "Undiscounted optimal growth in a Leontief two-sector model with circulating capital: The case of a capital-intensive consumption good," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 420-436, May.
    10. Robert M. Solow, 2000. "The neoclassical theory of growth and distribution," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 53(215), pages 349-381.
    11. Fagan, Gabriel & Gaspar, Ví­tor, 2008. "Macroeconomic adjustment to monetary union," Working Paper Series 946, European Central Bank.
    12. Robinson, James A. & Srinivasan, T.N., 1993. "Long-term consequences of population growth: Technological change, natural resources, and the environment," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 21, pages 1175-1298, Elsevier.
    13. Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
    14. Fidelina B. Natividad-Carlos, 2013. "An Exercise on Discrete-Time Intertemporal Optimization," UP School of Economics Discussion Papers 201306, University of the Philippines School of Economics.
    15. Liuchun Deng & Minako Fujio & M. Ali Khan, 2023. "On optimal extinction in the matchbox two-sector model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 445-494, August.
    16. Piersanti, Giovanni, 2012. "The Macroeconomic Theory of Exchange Rate Crises," OUP Catalogue, Oxford University Press, number 9780199653126.
    17. Khalifa, Sherif, 2011. "Undiscounted optimal growth with consumable capital and labor-intensive consumption goods," Economic Modelling, Elsevier, vol. 28(4), pages 1673-1682, July.
    18. Khalifa, Sherif, 2013. "Undiscounted optimal growth with consumable capital and capital-intensive consumption goods," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 118-135.
    19. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    20. Khan, M. Ali & Zaslavski, Alexander J., 2009. "On existence of optimal programs: The RSS model without concavity assumptions on felicities," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 624-633, September.

    More about this item

    Keywords

    time discount; growth models; Ramsey-Cass-Koopmans model; economic dynamics;
    All these keywords.

    JEL classification:

    • B22 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Macroeconomics
    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    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:spa:wpaper:2013wpecon18. 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: Pedro Garcia Duarte (email available below). General contact details of provider: https://edirc.repec.org/data/deuspbr.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.