Heterogeneous Fundamentalists and Imitative Processes
AbstractDeveloping a model with a switching mechanism, we show how complex dynamics can be generated even though heterogeneity arises among agents with the same trading rules (fundamentalists). We assume that there are two experts which are imitated by other operators. We show that (i) market instability and periodic, or even, chaotic price fluctuations can be generated; (ii) conditions exist under which an expert can drive another expert out of the market; (iii) two experts can survive when the dynamic system either generates a period doubling bifurcation around an attractor or when an homoclinic bifurcation leads to the merging of the two attractors (i.e. Dieci et al., 2001); (iv) a central role is played by the reaction to misalignment of both market makers and agents.
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Bibliographic InfoPaper provided by University of Milano-Bicocca, Department of Economics in its series Working Papers with number 104.
Length: 16 pages
Date of creation: Nov 2006
Date of revision: Nov 2006
mathematical economics; chaos; heterogeneous interacting agents; financial markets.;
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
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
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- Lux, T. & M. Marchesi, . "Volatility Clustering in Financial Markets: A Micro-Simulation of Interacting Agents," Discussion Paper Serie B 437, University of Bonn, Germany, revised Jul 1998.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
- Carl Chiarella & Roberto Dieci & Laura Gardini, 2001. "Speculative Behaviour and Complex Asset Price Dynamics," Research Paper Series 49, Quantitative Finance Research Centre, University of Technology, Sydney.
- Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- Day, Richard H. & Huang, Weihong, 1990.
"Bulls, bears and market sheep,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 14(3), pages 299-329, December.
- Taisei Kaizoji, 2003. "Speculative bubbles and fat tail phenomena in a heterogeneous agent model," Papers nlin/0312040, arXiv.org.
- Brock, William A. & Hommes, Cars H., 1998.
"Heterogeneous beliefs and routes to chaos in a simple asset pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 22(8-9), pages 1235-1274, August.
- Antoci, Angelo & Naimzada, Ahmad & Sodini, Mauro, 2009. "Strategic interactions and heterogeneity in a overlapping generations model with negative environmental externalities," MPRA Paper 18221, University Library of Munich, Germany.
- Ahmad K Naimzada & Giorgio Ricchiuti, 2013. "Complexity with Heterogeneous Fundamentalists and a Multiplicative Price Mechanism," Working Papers - Economics wp2013_03.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
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