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
Date of revision:
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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)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Branch, William A., 2002. "Local convergence properties of a cobweb model with rationally heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 63-85, November.
- Xue-Zhong (Tony) He & Carl Chiarella, 2001.
"Asset Price and Wealth Dynamics under Heterogeneous Expectations,"
CeNDEF Workshop Papers, January 2001
5A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- C. Chiarella & X-Z. He, 2001. "Asset price and wealth dynamics under heterogeneous expectations," Quantitative Finance, Taylor & Francis Journals, vol. 1(5), pages 509-526.
- Carl Chiarella & Xue-Zhong He, 2001. "Asset Price and Wealth Dynamics Under Heterogeneous Expectations," Research Paper Series 56, Quantitative Finance Research Centre, University of Technology, Sydney.
- Hommes, C.H., 1999. "Cobweb Dynamics under Bounded Rationality," CeNDEF Working Papers 99-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- William A. Brock & Cars H. Hommes, 1995.
"Rational Routes to Randomness,"
95-03-029, Santa Fe Institute.
- Woodford, Michael, 2000. "An Interview With William A. Brock," Macroeconomic Dynamics, Cambridge University Press, vol. 4(01), pages 108-138, March.
- repec:cup:macdyn:v:4:y:2000:i:1:p:108-38 is not listed on IDEAS
- Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
- Goeree, Jacob K. & Hommes, Cars H., 2000. "Heterogeneous beliefs and the non-linear cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 761-798, June.
- Reiner Franke & Tim Nesemann, 1999. "Two destabilizing strategies may be jointly stabilizing," Journal of Economics, Springer, vol. 69(1), pages 1-18, February.
- Hommes, Cars H., 2006.
"Heterogeneous Agent Models in Economics and Finance,"
Handbook of Computational Economics,
in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186
- Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
- Berardi, Michele, 2011.
"Fundamentalists vs. chartists: Learning and predictor choice dynamics,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 35(5), pages 776-792, May.
- Michele Berardi, 2008. "Fundamentalists vs. chartists: learning and predictor choice dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 104, Economics, The Univeristy of Manchester.
- Dieci, Roberto & Westerhoff, Frank, 2010. "Interacting cobweb markets," Journal of Economic Behavior & Organization, Elsevier, vol. 75(3), pages 461-481, September.
- Colucci, Domenico & Valori, Vincenzo, 2011. "Adaptive expectations and cobweb phenomena: Does heterogeneity matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1307-1321, August.
- Athanasiou, George & Karafyllis, Iasson & Kotsios, Stelios, 2008. "Price stabilization using buffer stocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1212-1235, April.
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