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Endo- vs. exogenous shocks and relaxation rates in book and music “sales”

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  • Lambiotte, R.
  • Ausloos, M.

Abstract

In this paper, we analyse the response of music and book sales to an external field and a buyer herding. We distinguish endogenous and exogenous shocks. We focus on some case studies, whose data have been collected from ranking on amazon.com. We show that an ensemble of equivalent systems quantitatively respond in a same way to a similar “external shock”, indicating roads to universality features. In contrast to Sornette et al. [Phys. Rev. Lett. 93 (2004) 228701] who seemed to find power-law behaviours, in particular at long times, a law interpreted in terms of an epidemic activity, we observe that the relaxation process can be as well seen as an exponential one that saturates toward an asymptotic state, itself different from the pre-shock state. By studying an ensemble of 111 shocks, on books or records, we show that exogenous and endogenous shocks are discriminated by their short-time behaviour: the relaxation time seems to be twice shorter in endogenous shocks than in exogenous ones. We interpret the finding through a simple thermodynamic model with a dissipative force.

Suggested Citation

  • Lambiotte, R. & Ausloos, M., 2006. "Endo- vs. exogenous shocks and relaxation rates in book and music “sales”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 485-494.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:2:p:485-494
    DOI: 10.1016/j.physa.2005.08.047
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    Citations

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    Cited by:

    1. Krawczyk, M.J. & Dydejczyk, A. & Kułakowski, K., 2014. "The Simmel effect and babies’ names," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 384-391.
    2. Seungkyu Shin & Juyong Park, 2018. "On-Chart Success Dynamics Of Popular Songs," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(03n04), pages 1-18, May.
    3. Buda, Andrzej & Kwapień, Jarosław, 2022. "Agent-based modelling of the global phonographic market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    4. Marcel Ausloos, 2014. "A biased view of a few possible components when reflecting on the present decade financial and economic crisis," Papers 1412.0127, arXiv.org.
    5. Aki-Hiro Sato, 2012. "Econoinformatics meets Data-Centric Social Sciences," Papers 1210.4643, arXiv.org, revised Apr 2013.
    6. Marcel Ausloos, 2013. "Econophysics: Comments on a Few Applications, Successes, Methods and Models," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 101-115, July.
    7. Lambiotte, R. & Ausloos, M. & Thelwall, M., 2007. "Word statistics in Blogs and RSS feeds: Towards empirical universal evidence," Journal of Informetrics, Elsevier, vol. 1(4), pages 277-286.
    8. Klimek, Peter & Bayer, Werner & Thurner, Stefan, 2011. "The blogosphere as an excitable social medium: Richter’s and Omori’s Law in media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3870-3875.
    9. Ausloos, Marcel & Nedic, Olgica & Dekanski, Aleksandar, 2016. "Day of the week effect in paper submission/acceptance/rejection to/in/by peer review journals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 197-203.

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