Self-organized percolation model for stock market fluctuations

Dietrich Stauffer and Didier Sornette

Physica A: Statistical Mechanics and its Applications, 1999, vol. 271, issue 3, 496-506

Abstract: In the Cont–Bouchaud model [cond-mat/9712318] of stock markets, percolation clusters act as buying or selling investors and their statistics controls that of the price variations. Rather than fixing the concentration controlling each cluster connectivity artificially at or close to the critical value, we propose that clusters shatter and aggregate continuously as the concentration evolves randomly, reflecting the incessant time evolution of groups of opinions and market moods. By the mechanism of “sweeping of an instability” [Sornette, J. Phys. I 4, 209(1994)], this market model spontaneously exhibits reasonable power-law statistics for the distribution of price changes and accounts for the other important stylized facts of stock market price fluctuations.

Keywords: Clusters; Activity; Monte Carlo; Self-organized criticality; Power laws; Percolation (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (69)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:271:y:1999:i:3:p:496-506

DOI: 10.1016/S0378-4371(99)00290-3

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