Goodwin’s Lotka-Volterra Model in Disaggregative Form: A Note

Rodousakis, Nikolaos (2010): Goodwin’s Lotka-Volterra Model in Disaggregative Form: A Note.

Abstract

This paper investigates Goodwin’s Lotka-Volterra model in disaggregative form. It is found that the dynamic behavior of the model depends on the material input coefficients matrix.

• Item Type: MPRA Paper
• Language: English
• Keywords: Goodwin’s Lotka-Volterra model; principal coordinates; disaggregated models; multiple degree of freedom system
• Subjects: E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods

References

Aruka, Y., 1991. Generalized Goodwin’s theorems on general coordinates. Structural Change and Economic Dynamics. 2, 69-91.

Barbosa-Filho, N. H., Taylor, L., 2006. Distribution and demand cycles in the US economy-A structuralist Goodwin model. Metroeconomica. 57, 389-411.

Bhaduri, A., Marglin, S., 1990. Unemployment and the real wage rate: the economic basis for contesting political ideologies. Cambridge Journal of Economics. 14, 375-393.

Boggio, L., 1991. On Goodwin’s method of principal coordinates. Structural Change and Economic Dynamics. 2, 93-98.

Desai, M., Henry, B., Mosley, A., Pemberton, M., 2006. A clarification of the Goodwin model of the growth cycle. Journal of Economic Dynamics and Control. 30, 2661-2670.

Goodwin, R. M., 1967. A growth cycle, in: Feinstein, C. H. (Ed.), Socialism, Capitalism and Economic Growth: Essays Presented to Maurice Dobb. Cambridge University Press, London, pp. 54-58.

Goodwin, R. M., 1976. Use of normalized general coordinates in linear value and distribution theory, in: Polenske, K. R., Skolka, J. V. (Eds), Advances in input-output analysis. Proceedings of the Sixth International Conference on Input-Output Techniques. Vienna. Ballinger, Cambridge, pp. 581-602.

Goodwin, R. M., 1983. Essays in Linear Economic Structures, Macmillan, London.

Goodwin, R. M., 1984. Disaggregated models of fluctuating growth, in: Goodwin, R., Krüger, M., Vercelli, A. (Eds.), Nonlinear Models of Fluctuating Growth. Springer, Berlin, pp. 67-72.

Goodwin, R. M., 1986. Swinging along the turnpike with von Neumann and Sraffa. Cambridge Journal of Economics. 10, 211-224.

Goodwin, R. M., 1989. Swinging along the autostrada: cyclical fluctuations along the von Neumann Ray, in: Dore, M., Chakravarty, S., Goodwin, R. (Eds), John von Neumann and Moderns Economics. Clarendon Press, Oxford, pp. 125-140.

Goodwin, R. M., Punzo, L. F., 1987. The Dynamics of a Capitalist Economy. A Multi-Sectoral Appoach, Polity Press, Cambridge.

Kurz, H. D., Salvadori, N., 1995. Theory of Production. A Long - Period Analysis, Cambridge University Press, Cambridge.

Maia, N. M. M., Silva, J. M. M., 1997. Theoretical and Experimental Modal Analysis, Research Studies Press Ltd, Hertfordshire.

Mainwaring, L., 1991. Review of the paper ‘Bhaduri, A., Marglin, S., 1990. Unemployment and the Real Wage Rate: The Economic Basis for Contesting Political Ideologies. Cambridge Journal of Economics’. European Journal of Political Economy. 7, 632-634.

Mariolis, T., 2006. Introduction in the Theory of Endogenous Economic Fluctuations: Linear and Nonlinear Economic Oscillators (in Greek), Τυπωθήτω, Athens.

Shabana, A. A., 1996. Theory of Vibration: An Introduction, Springer, Berlin.

Steenge, A. E., 1995. Sraffa and Goodwin: A unifying framework for standards of value in the income distribution problem. Journal of Economics. 62, 55-75.

Weber, L., 2005. A contribution to Goodwin’s growth cycle model from a system dynamics perspective 2005, available from the (http://www.systemdynamics.org/conferences/2005/proceed/papers/WEBER196.pdf).