Transmission of Information and Herd Behavior: an Application to Financial Markets

Abstract

We propose a model for stochastic formation of opinion clusters, modelled by an evolving network, and herd behaviour to account for the observed fat-tail distribution in returns of financial-price data. The only parameter of the model is h, the rate of information dispersion per trade, which is a measure of herding behavior. For h below a critical h* the system displays a power-law distribution of the returns with exponential cut-off. However for h>h* an increase in the probability of large returns is found, and may be associated to the occurrence of large crashes.

4 pages, 4 figures. Revised version. Accepted for publication in Phys. Rev. Lett. For related material visit http://www.nbi.dk/~martinez

References in corpus (5)

• Scaling of the distribution of fluctuations of financial market indices
• Herd behavior and aggregate fluctuations in financial markets
• Scaling of the distribution of price fluctuations of individual companies
• Market force, ecology and evolution
• Self-Organized Percolation Model for Stock Market Fluctuations

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