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Effect of the media on the opinion dynamics in online social networks

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  • Li, Tingyu
  • Zhu, Hengmin

Abstract

The media plays an important role in the process of opinion evolution. It can promote the spread of opinions and make netizens reach consensus towards the specific topic. To study the critical role of the media in the evolution of opinions, we constructed a mathematical model of opinion dynamics under the influence of the media. Through mathematical analysis, we can get analytical solutions which are individuals’ opinion values in the equilibrium and interval of the convergence time. We also employed an online network topology from a real social platform for numerical simulation to verify the theoretical solutions. It found that the participation of the media greatly accelerated the dissemination of opinions. The supporting proportion for the media’s opinion is ramped up quickly when intervention time of the media reaches a certain value which we thought this time as best intervention time. When network size is larger, agents will be more negative in equilibrium. Even intervention time is longer, agents still cannot support the media. With extreme initial opinions and self-confidence of all agents, we found that the media can better influence fully stubborn agents than flexible agents. At the same time, the media can better change flexible agents positions than stubborn agents.

Suggested Citation

  • Li, Tingyu & Zhu, Hengmin, 2020. "Effect of the media on the opinion dynamics in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
  • Handle: RePEc:eee:phsmap:v:551:y:2020:i:c:s0378437119322733
    DOI: 10.1016/j.physa.2019.124117
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    References listed on IDEAS

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    1. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
    2. Guillaume Deffuant & David Neau & Frederic Amblard & Gérard Weisbuch, 2000. "Mixing beliefs among interacting agents," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 87-98.
    3. Boudin, Laurent & Salvarani, Francesco, 2016. "Opinion dynamics: Kinetic modelling with mass media, application to the Scottish independence referendum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 448-457.
    4. Christian Schulze, 2004. "Advertising, Consensus, And Aging In Multilayer Sznajd Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 569-573.
    5. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    6. Pineda, M. & Buendía, G.M., 2015. "Mass media and heterogeneous bounds of confidence in continuous opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 73-84.
    7. Liu, Zhihong & Ma, Jianfeng & Zeng, Yong & Yang, Li & Huang, Qiping & Wu, Hongliang, 2014. "On the control of opinion dynamics in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 183-198.
    8. Hsu, Jiann-wien & Huang, Ding-wei, 2014. "Mean-field theory of modified voter model for opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 371-377.
    9. Dario Bauso & Raffaele Pesenti & Marco Tolotti, 2016. "Opinion Dynamics and Stubbornness Via Multi-Population Mean-Field Games," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 266-293, July.
    10. Javarone, Marco Alberto, 2014. "Social influences in opinion dynamics: The role of conformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 19-30.
    11. Crokidakis, Nuno, 2012. "Effects of mass media on opinion spreading in the Sznajd sociophysics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1729-1734.
    12. Verma, Gunjan & Swami, Ananthram & Chan, Kevin, 2014. "The impact of competing zealots on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 310-331.
    13. Grabowski, A. & Kosiński, R.A., 2006. "Ising-based model of opinion formation in a complex network of interpersonal interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 651-664.
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    Cited by:

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    2. Muslim, Roni & NQZ, Rinto Anugraha & Khalif, Muhammad Ardhi, 2024. "Mass media and its impact on opinion dynamics of the nonlinear q-voter model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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