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A Note on the Stability Properties of Goodwin's Predator-Prey Model

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Abstract

Goodwin's Predator-Prey model is structurally unstable. In its pure form, the model has an equilibrium that is neither stable nor unstable. Ploeg showed that relaxing the hypothesis of fixed proportion technology would stabilize the equilibrium. On the other hand, Goodwin showed that the equilibrium becomes unstable when endogenous productivity growth is considered. This paper studies the consequences of considering both effects, and concludes that the stabilizing effect of a flexible technology is much stronger than the destabilizing effect of endogenizing labor productivity.

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  • Luís Francisco Aguiar-Conraria, 2007. "A Note on the Stability Properties of Goodwin's Predator-Prey Model," NIPE Working Papers 5/2007, NIPE - Universidade do Minho.
    • Handle: RePEc:nip:nipewp:5/2007
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    File URL: http://www3.eeg.uminho.pt/economia/nipe/docs/2007/NIPE_WP_5_2007.PDF
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    1. S. Sordi, 1999. "Economic models and the relevance of “chaotic regions”:An application to Goodwin's growth cycle model," Annals of Operations Research, Springer, vol. 89(0), pages 3-19, January.
    2. Harvie, David, 2000. "Testing Goodwin: Growth Cycles in Ten OECD Countries," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 24(3), pages 349-376, May.
    3. Desai, Meghnad & Henry, Brian & Mosley, Alexander & Pemberton, Malcolm, 2006. "A clarification of the Goodwin model of the growth cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2661-2670, December.
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    5. Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
    6. Kalt, Joseph P, 1978. "Technological Change and Factor Substitution in the United States: 1929-1967," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 761-775, October.
    7. Shapiro, Carl & Stiglitz, Joseph E, 1984. "Equilibrium Unemployment as a Worker Discipline Device," American Economic Review, American Economic Association, vol. 74(3), pages 433-444, June.
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    Cited by:

    1. Moura, N.J. & Ribeiro, Marcelo B., 2013. "Testing the Goodwin growth-cycle macroeconomic dynamics in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2088-2103.

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    More about this item

    Keywords

    Business cycles; nonlinear dynamics; distributive conflict; Goodwin; Marxian Economics;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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