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Herd behavior in weight-driven information spreading models for financial market

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  • Yook, Soon-Hyung
  • Kim, Yup

Abstract

We study two weight-driven information spreading models for financial market. In these models, we find that the activity threshold below which the ‘financial crash’ occurs can be increased by uneven distribution of information weight, compared with Eguíluz and Zimmermann model [V.M. Eguíluz, M.G. Zimmermann, Phys. Rev. Lett. 85 (2000) 5659]. We also find that below the threshold the normalized return distribution, P(Z;Δt) satisfies P(Z=0;Δt)∼exp(−Δt/b) whereas P(Z=0;Δt)∼Δt−τ above the threshold. Here Δt is the time interval where the normalized return is defined, Z(t,Δt)=Z(t+Δt)−Z(t). By approximating the relative increase of P(Z;Δt=1) for large Z as Gaussian distribution with non-zero mean, we show that the non-zero mean of the Gaussian distribution can cause such exponentially decaying behavior of P(Z=0;Δt).

Suggested Citation

  • Yook, Soon-Hyung & Kim, Yup, 2008. "Herd behavior in weight-driven information spreading models for financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6605-6612.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6605-6612
    DOI: 10.1016/j.physa.2008.08.009
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    Cited by:

    1. Haghani, Milad & Sarvi, Majid, 2017. "Social dynamics in emergency evacuations: Disentangling crowd’s attraction and repulsion effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 24-34.
    2. Zhao, Laijun & Wang, Jiajia & Huang, Rongbing & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli, 2014. "Sentiment contagion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 17-23.
    3. M. Fern'andez-Mart'inez & M. A S'anchez-Granero & Mar'ia Jos'e Mu~noz Torrecillas & Bill McKelvey, 2016. "A comparison among some Hurst exponent approaches to predict nascent bubbles in $500$ company stocks," Papers 1601.04188, arXiv.org.

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    Keywords

    Econophysics;

    Statistics

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