The Dynamics of the Linear Random Farmer Model
On the framework of the Linear Farmer's Model, we approach the indeterminacy of agents' behaviour by associating with each agent an unconditional probability for her to be active at each time step. We show that Pareto tailed returns can appear even if value investors are the only strategies on the market and give a procedure for the determination of the tail exponent. Numerical results indicate that the returns' distribution is heavy tailed and volatility is clustered if trading occurs at the zero Lyapunov (critical) point.
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.:
- Gaunersdorfer, A. & Hommes, C.H., 2000.
"A Nonlinear Structural Model for Volatility Clustering,"
CeNDEF Working Papers
00-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Gaunersdorfer, A. & Hommes, C.H., 2005. "A nonlinear structural model for volatility clustering," CeNDEF Working Papers 05-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Sethi, Rajiv, 1996. "Endogenous regime switching in speculative markets," Structural Change and Economic Dynamics, Elsevier, vol. 7(1), pages 99-118, March.
- William A. Brock & Patrick de Fontnouvelle, 1996.
"Expectational Diversity in Monetary Economies,"
96-11-084, Santa Fe Institute.
- Antonio Cabrales & Takeo Hoshi, 1993.
"Heterogeneous beliefs, wealth accumulation and asset price dynamics,"
Economics Working Papers
55, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 1993.
- Cabrales, Antonio & Hoshi, Takeo, 1996. "Heterogeneous beliefs, wealth accumulation, and asset price dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1073-1100.
- Iori, Giulia, 2002.
"A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 49(2), pages 269-285, October.
- Giulia Iori, 1999. "A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions," Finance 9905005, EconWPA.
- Giulia Iori, 2000. "A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions," Finance 0004007, EconWPA.
- 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.
- Brock, W.A. & Hommes, C.H., 1996. "Hetergeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model," Working papers 9621, Wisconsin Madison - Social Systems.
- Day, R. & Huang, W., 1988.
"Bulls, Bears And Market Sheep,"
m8822, Southern California - Department of Economics.
- Jean-Philippe Bouchaud & Rama Cont, 1998. "A Langevin approach to stock market fluctuations and crashes," Science & Finance (CFM) working paper archive 500027, Science & Finance, Capital Fund Management.
- Sarno, Lucio & Taylor, Mark P., 1999. "Moral hazard, asset price bubbles, capital flows, and the East Asian crisis:: the first tests," Journal of International Money and Finance, Elsevier, vol. 18(4), pages 637-657, August.
- J. Doyne Farmer, 1998.
"Market Force, Ecology, and Evolution,"
Research in Economics
98-12-117e, Santa Fe Institute.
- 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.
- Farmer, J. Doyne & Joshi, Shareen, 2002.
"The price dynamics of common trading strategies,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 49(2), pages 149-171, October.
- Beja, Avraham & Goldman, M Barry, 1980. " On the Dynamic Behavior of Prices in Disequilibrium," Journal of Finance, American Finance Association, vol. 35(2), pages 235-48, May.
- P. Gopikrishnan & M. Meyer & L.A.N. Amaral & H.E. Stanley, 1998. "Inverse cubic law for the distribution of stock price variations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 3(2), pages 139-140, July.
- Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 143-165, January.
- Arifovic, Jasmina & Gencay, Ramazan, 2000. "Statistical properties of genetic learning in a model of exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 981-1005, June.
- Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July.
- Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:cond-mat/0107150. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.