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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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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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Keywords: Business cycles; nonlinear dynamics; distributive conflict; Goodwin; Marxian Economics;

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  1. Veneziani, Roberto & Mohun, Simon, 2006. "Structural stability and Goodwin's growth cycle," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 437-451, December.
  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.
  3. 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.
  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.
  5. 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.
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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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