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Non-universal scaling in a model of information transmission and herd behavior

Dafang Zheng·P. M. Hui·N. F. Johnson
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Abstract

We present a generalized dynamical model describing the sharing of information, and corresponding herd behavior, in a population based on the recent model proposed by Eguiluz and Zimmermann. By introducing a size-dependent probability for dissociation of a cluster, we show that the exponent characterizing the distribution of cluster sizes becomes model-dependent and non-universal. The resulting system, which provides a simplified model of a financial market, yields power law behavior with an easily tunable exponent.

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Dafang Zheng, P. M. Hui, N. F. Johnson. 2001-05-24. Non-universal scaling in a model of information transmission and herd behavior. https://arxiv.org/abs/cond-mat/0105474

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