Stability and Cycles in a Cobweb Model with Heterogeneous Expectations
AbstractWe investigate the dynamics of a cobweb model with heterogeneous beliefs, generalizing the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either rational expectations, or a type 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 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 Centre for Dynamic Macroeconomic Analysis in its series CDMA Working Paper Series with number 200706.
Date of creation: 15 Jan 2007
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Bounded rationality; Cobweb model; Flip bifurcation; Neimark-Sacker bifurcation.;
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, 2004. "Stability and Cycles in a Cobweb Model with Heterogeneous Expectations," Economics Working Papers ECO2004/03, European University Institute.
- 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-2007-02-03 (All new papers)
- NEP-CBA-2007-02-03 (Central Banking)
- NEP-KNM-2007-02-03 (Knowledge Management & Knowledge Economy)
- NEP-MAC-2007-02-03 (Macroeconomics)
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