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- W2049818672 abstract "The Eguíluz and Zimmermann model of information transmission and herd formation in a financial market is studied analytically. Starting from a formal description on the rate of change of the system from one partition of agents in the system to another, a mean-field theory is systematically developed. The validity of the mean-field theory is carefully studied against fluctuations. When the number of agents N is sufficiently large and the probability of making a transaction a<<1/N ln N, finite-size effect is found to be significant. In this case, the system has a large probability of becoming a single cluster containing all the agents. For small clusters of agents, the cluster size distribution still obeys a power law but with a much reduced magnitude. The exponent is found to be modified to the value of -3 by the fluctuation effects from the value of -5/2 in the mean-field theory." @default.
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- W2049818672 date "2002-04-05" @default.
- W2049818672 modified "2023-10-16" @default.
- W2049818672 title "Finite-size effect in the Eguíluz and Zimmermann model of herd formation and information transmission" @default.
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- W2049818672 doi "https://doi.org/10.1103/physreve.65.046130" @default.
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