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A disequilibrium growth cycle model with differential savings

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  • Serena Sordi

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Abstract

This paper extends Goodwin’s growth cycle model by assuming both differential savings propensities and disequilibrium in the goods market. It is shown that both modifications entail an increase in the dimensionality of the dynamical system of the model. By applying the existence part of the Hopf bifurcation theorem, the possibility of persistent and bounded cyclical paths for the resulting 4-dimensional dynamical system is then established. With the help of numerical simulation some evidence is finally given that the limit cycle emerging from the Hopf bifurcation is stable.

Suggested Citation

  • Serena Sordi, 2008. "A disequilibrium growth cycle model with differential savings," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 0508, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
  • Handle: RePEc:usi:depfid:0508
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    File URL: http://repec.deps.unisi.it/depfid/text508.pdf
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    References listed on IDEAS

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    1. Carmen M. Reinhart & Graciela L. Kaminsky, 1999. "The Twin Crises: The Causes of Banking and Balance-of-Payments Problems," American Economic Review, American Economic Association, pages 473-500.
    2. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Is the 2007 U.S. Sub-Prime Financial Crisis So Different? An International Historical Comparison," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 56(3), pages 291-299, September.
    3. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    4. Thomas I. Palley, 2007. "Financialization: What It Is and Why It Matters," Working Papers wp153, Political Economy Research Institute, University of Massachusetts at Amherst.
    5. Vercelli,Allessandro, 1991. "Methodological Foundations of Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521392945, December.
    6. Laidler,David, 1999. "Fabricating the Keynesian Revolution," Cambridge Books, Cambridge University Press, number 9780521641739, December.
    7. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
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    Cited by:

    1. Sordi, Serena & Vercelli, Alessandro, 2014. "Unemployment, income distribution and debt-financed investment in a growth cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 325-348.

    More about this item

    Keywords

    growth cycle; differential savings; limit cycle; disequilibrium models.;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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