A disequilibrium growth cycle model with differential savings
AbstractThis 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.
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Bibliographic InfoPaper provided by Department of Economic Policy, Finance and Development (DEPFID), University of Siena in its series Department of Economic Policy, Finance and Development (DEPFID) University of Siena with number 0508.
Date of creation: Jun 2008
Date of revision:
growth cycle; differential savings; limit cycle; disequilibrium models.;
Find related papers by 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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