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Social influence and the Matthew mechanism: The case of an artificial cultural market

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  • Bask, Miia
  • Bask, Mikael

Abstract

We show that the Matthew effect, or Matthew mechanism, was present in the artificial cultural market Music Lab in one-fourth of the “worlds” when social influence between individuals was allowed, whereas this effect was not present in the “world” that disallowed social influence between individuals. We also sketch on a class of social network models, derived from social influence theory, that may generate the Matthew effect. Thus, we propose a theoretical framework that may explain why the most popular songs could be much more popular, and the least popular songs could be much less popular, than when disallowing social influence between individuals.

Suggested Citation

  • Bask, Miia & Bask, Mikael, 2014. "Social influence and the Matthew mechanism: The case of an artificial cultural market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 113-119.
    • Handle: RePEc:eee:phsmap:v:412:y:2014:i:c:p:113-119
    DOI: 10.1016/j.physa.2014.06.039
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    1. Shintani, Mototsugu & Linton, Oliver, 2004. "Nonparametric neural network estimation of Lyapunov exponents and a direct test for chaos," Journal of Econometrics, Elsevier, vol. 120(1), pages 1-33, May.
    2. Coco Krumme & Manuel Cebrian & Galen Pickard & Sandy Pentland, 2012. "Quantifying Social Influence in an Online Cultural Market," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-6, May.
    3. Christian Borghesi & Jean-Philippe Bouchaud, 2007. "Of songs and men: a model for multiple choice with herding," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(4), pages 557-568, August.
    4. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    5. Dechert, W D & Gencay, R, 1992. "Lyapunov Exponents as a Nonparametric Diagnostic for Stability Analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 41-60, Suppl. De.
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    Cited by:

    1. Miia Bask & Mikael Bask, 2015. "Cumulative (Dis)Advantage and the Matthew Effect in Life-Course Analysis," PLOS ONE, Public Library of Science, vol. 10(11), pages 1-14, November.
    2. Feichtinger, Gustav & Grass, Dieter & Kort, Peter M. & Seidl, Andrea, 2021. "On the Matthew effect in research careers," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
    3. Hua, Mingzhuang & Chen, Xuewu & Chen, Jingxu & Huang, Di & Cheng, Long, 2022. "Large-scale dockless bike sharing repositioning considering future usage and workload balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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    More about this item

    Keywords

    Matthew effect; Music Lab; Social influence; Social network;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • Z19 - Other Special Topics - - Cultural Economics - - - Other

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