Stability and Cycles in a Cobweb Model with Heterogeneous Expectations
AbstractWe investigate the dynamics of a cobweb model with heterogeneous beliefs, generalising the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either perfect foresight, or a form of adaptive expectations with limited memory defined from the last two prices. We specify conditions that generate cycles. These conditions depend on a set of factors that includes the proportion of rational agents, the intensity of switching between beliefs, and the adaption parameter. We show that both Flip bifurcation and Neimark-Sacker bifurcation can occur as primary bifurcation when the steady state is unstable.
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Bibliographic InfoPaper provided by European University Institute in its series Economics Working Papers with number ECO2004/03.
Date of creation: 2004
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bounded rationality; cobweb model; flip bifurcation; neimark-sacker bifurcation; rational expectations;
Other versions of this item:
- Lasselle, Laurence & Svizzero, Serge & Tisdell, Clem, 2005. "Stability And Cycles In A Cobweb Model With Heterogeneous Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 630-650, November.
- Laurence Lasselle & Serge Svizzero & Clem Tisdell, 2007. "Stability and Cycles in a Cobweb Model with Heterogeneous Expectations," CDMA Working Paper Series 200706, Centre for Dynamic Macroeconomic Analysis.
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
- E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-02-08 (All new papers)
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