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

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Luís Francisco Aguiar-Conraria () (Universidade do Minho - NIPE)

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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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Paper provided by NIPE - Universidade do Minho in its series NIPE Working Papers with number 5/2007.

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Date of creation: 2007
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Handle: RePEc:nip:nipewp:5/2007

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Postal: Núcleo de Investigação em Políticas Económicas, Escola de Economia e Gestão, Universidade do Minho, P-4710-057 Braga, Portugal
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Related research
Keywords: Business cycles; nonlinear dynamics; distributive conflict; Goodwin; Marxian Economics;

Find related papers by JEL classification:
E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
E20 - Macroeconomics and Monetary Economics - - Macroeconomics: 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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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Shapiro, Carl & Stiglitz, Joseph E, 1984. "Equilibrium Unemployment as a Worker Discipline Device," American Economic Review, American Economic Association, vol. 74(3), pages 433-44, June. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Harvie, David, 2000. "Testing Goodwin: Growth Cycles in Ten OECD Countries," Cambridge Journal of Economics, Oxford University Press, vol. 24(3), pages 349-76, May.
  4. 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. [Downloadable!] (restricted)
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