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Hicksian Visions and Vignettes on (Non-Linear) Trade Cycle Theories


  • K. Vela Velupillai

    (Department of Economics, National University of Ireland, Galway)


Hicks theorized about the trade cycle, from many perspectives, over the whole span of his long, fertile and distinguished profes- sional life. Beginning with thoughts on an equilibrium approach to the problem of the trade cycle in the early 30s, traversing1 those disequilibrium workhorses of macrodynamics, IS-LM and Multiplier- Accelerator models, he returned, in hunted hare fashion, to a Robert- sonian starting point. In this paper I attempt to construct a math- ematical tapestry of some of these Hicksian visions and vignettes, concentrating on (non-linear) trade cycle theories. I suggest that there are still pearls of analytical wisdom, on the non-linear dynam- ics of trade cycle theory, to be extracted from A Contribution to the Theory of the Trade Cycle (CTTC). The unlikely link between the way an economic conundrum, inherent in CTTC, was resolved and the resolution of (Part B of) Hilbert?s 16th Problem for Liénard?s equation is brie?y mentioned.

Suggested Citation

  • K. Vela Velupillai, 2004. "Hicksian Visions and Vignettes on (Non-Linear) Trade Cycle Theories," Working Papers 0082, National University of Ireland Galway, Department of Economics, revised 2004.
  • Handle: RePEc:nig:wpaper:0082

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    References listed on IDEAS

    1. Tobin, James, 1975. "Keynesian Models of Recession and Depression," American Economic Review, American Economic Association, vol. 65(2), pages 195-202, May.
    2. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184, March.
    3. T. Asada & P. Chen, 2004. "Keynesian Dynamics and the wage price spiral. A baseline disequilibrium approach," Computing in Economics and Finance 2004 262, Society for Computational Economics.
    4. Phelps, Edmund S., 1980. "Studies in Macroeconomic Theory," Elsevier Monographs, Elsevier, edition 1, number 9780125540025 edited by Shell, Karl.
    5. Emile Grunberg & Franco Modigliani, 1954. "The Predictability of Social Events," Journal of Political Economy, University of Chicago Press, vol. 62, pages 465-465.
    6. Solow, Robert M., 1979. "Another possible source of wage stickiness," Journal of Macroeconomics, Elsevier, vol. 1(1), pages 79-82.
    7. Franke, Reiner & Asada, Toichiro, 1994. "A Keynes-Goodwin model of the business cycle," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 273-295, August.
    8. Uzawa, H, 1969. "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 628-652, Part II, .
    9. Toichiro Asada & Carl Chiarella & Peter Flaschel, 2003. "Keynes-Metzler-Goodwin Model Building: The Closed Economy," Working Paper Series 124, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    10. Robert M. Solow, 1979. "Alternative Approaches to Macroeconomic Theory: A Partial View," Canadian Journal of Economics, Canadian Economics Association, vol. 12(3), pages 339-354, August.
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    More about this item


    Non-Linear Trade Cycle Theories; Mathematical Business Cycle Theories; Hicksian Models of the Trade Cycle;

    JEL classification:

    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles


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