IDEAS home Printed from https://ideas.repec.org/p/trn/utwpas/1215.html
   My bibliography  Save this paper

A Non-mathematical Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic

Author

Listed:
  • V. Ragupathy
  • K.Vela Velupillai
  • Stefano Zambelli

Abstract

Hugh Hudson’s classic article on A Model of the Trade Cycle has never, to the best of our knowledge, received the serious attention it deserved (and deserves, even now, 55 years after its original publication). It was written in what we would like to call the classic Hicks-Kaldor mode, i.e., relying on ingenious diagrammatic techniques for expository purposes, and, indeed, developing an innovative model of the trade cycle where interaction of monetary and real forces were modeled in terms of elements common to the classic nonlinear endogenous models of these two pioneers. In this paper we reconsider the analytical contents of Hudson’s classic, and its expository technique, in the light of later, mathematical, approaches to the same topic. Our conclusion is that there is still much to be gained in the expository style adopted by Hudson; but, more importantly, there are innovative suggestion and still relevant suggestions on theorizing and understanding actual performances of advanced industrial economies. Above all Hudson’s classic is permeated with the policy underpinnings of a rich model of the trade cycle.

Suggested Citation

  • V. Ragupathy & K.Vela Velupillai & Stefano Zambelli, 2012. "A Non-mathematical Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," ASSRU Discussion Papers 1215, ASSRU - Algorithmic Social Science Research Unit.
  • Handle: RePEc:trn:utwpas:1215
    as

    Download full text from publisher

    File URL: http://www.assru.economia.unitn.it/files/DP_4_2012_II.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    2. W. W. Chang & D. J. Smyth, 1971. "The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 37-44.
    3. Michal Kalecki, 1937. "A Theory of the Business Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 77-97.
    4. K. Vela Velupillai, 2008. "JAPANESE CONTRIBUTIONS TO NONLINEAR CYCLE THEORY IN THE 1950s," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 54-74, March.
    5. Rose, Hugh, 1969. "Real and Monetary Factors in the Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(2), pages 138-152, May.
    6. Vasilev, Aleksandar & Maksumov, Rashid, 2010. "Critical analysis of Chapter 23 of Keynes’s Notes on Mercantilism in The General Theory of Employment, Interest and Money (1936)," EconStor Research Reports 155318, ZBW - Leibniz Information Centre for Economics.
    7. Venkatachalam Ragupathy & Kumaraswamy Vela Velupillai, 2012. "Origins and Early Development of the Nonlinear Endogenous Mathematical Theory of the Business Cycle," Economia politica, Società editrice il Mulino, issue 1, pages 45-80.
    8. Laidler,David, 1999. "Fabricating the Keynesian Revolution," Cambridge Books, Cambridge University Press, number 9780521641739.
    9. H. Rose, 1967. "On the Non-Linear Theory of the Employment Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 153-173.
    10. V. Ragupathy & K. Vela Velupillai, 2012. "Existence Proofs in Nonlinear Endogenous Theories of the Business Cycle on the Plane -- The Origins," ASSRU Discussion Papers 1210, ASSRU - Algorithmic Social Science Research Unit.
    11. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    12. Garry J. Schinasi, 1981. "A Nonlinear Dynamic Model of Short Run Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 649-656.
    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. V. Ragupathy & Stefano Zambelli & K. Vela Velupillai, 2013. "A Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," Australian Economic Papers, Wiley Blackwell, vol. 52(2), pages 115-125, June.
    2. Murakami, Hiroki, 2018. "Existence and uniqueness of growth cycles in post Keynesian systems," Economic Modelling, Elsevier, vol. 75(C), pages 293-304.
    3. Hiroki Murakami, 2019. "A note on the “unique” business cycle in the Keynesian theory," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 384-404, July.
    4. K. Vela Velupillai, 2008. "JAPANESE CONTRIBUTIONS TO NONLINEAR CYCLE THEORY IN THE 1950s," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 54-74, March.
    5. Murakami, Hiroki, 2020. "Monetary policy in the unique growth cycle of post Keynesian systems," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 39-49.
    6. Grandmont, Jean-michel, 1989. "Keynesian issues and economic theory," CEPREMAP Working Papers (Couverture Orange) 8907, CEPREMAP.
    7. Murakami, Hiroki & Zimka, Rudolf, 2020. "On dynamics in a two-sector Keynesian model of business cycles," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    8. Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.
    9. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    10. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    11. Hallegatte, Stéphane & Ghil, Michael, 2008. "Natural disasters impacting a macroeconomic model with endogenous dynamics," Ecological Economics, Elsevier, vol. 68(1-2), pages 582-592, December.
    12. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, June.
    13. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
    14. David Laidler, 2013. "Professor Fisher and the quantity theory -- a significant encounter," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 20(2), pages 174-205, April.
    15. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
    16. Hallegatte, Stéphane & Ghil, Michael & Dumas, Patrice & Hourcade, Jean-Charles, 2008. "Business cycles, bifurcations and chaos in a neo-classical model with investment dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 57-77, July.
    17. Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
    18. Steve Keen, 2013. "Predicting the ‘Global Financial Crisis’: Post-Keynesian Macroeconomics," The Economic Record, The Economic Society of Australia, vol. 89(285), pages 228-254, June.
    19. Carl Chiarella & Peter Flaschel, 1999. "Towards Applied Disequilibrium Growth Theory: III Basic Partial Feedback Structures and Stability Issues," Working Paper Series 95, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    20. Molnar, Gyorgy & Simonovits, Andras, 1998. "Expectations, (in)stability and (in)viability in realistic overlapping cohorts models," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 303-332, September.

    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:trn:utwpas:1215. 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: assru.tm@gmail.com (email available below). General contact details of provider: https://edirc.repec.org/data/detreit.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.