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The impact of competing zealots on opinion dynamics

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  • Verma, Gunjan
  • Swami, Ananthram
  • Chan, Kevin

Abstract

An individual’s opinion on an issue is greatly impacted by others in his or her social network. Most people are open-minded and ready to change their opinion when presented evidence; however, some are zealots or inflexibles, that is, individuals who refuse to change their opinion while staunchly advocating an opinion in hopes of convincing others. Zealotry is present in opinions of significant personal investment, such as political, religious or corporate affiliation; it tends to be less commonplace in opinions involving rumors or fashion trends. In this paper, we examine the effect that zealots have in a population whose opinion dynamics obey the naming game model. We present numerical and analytical results about the number and nature of steady state solutions, demonstrating the existence of a bifurcation in the space of zealot fractions. Our analysis indicates conditions under which a minority zealot opinion ultimately prevails, and conditions under which neither opinion attains a majority. We also present numerical and simulation analysis of finite populations and on networks with partial connectivity.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:310-331
    DOI: 10.1016/j.physa.2013.09.045
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    References listed on IDEAS

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    Cited by:

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    6. Baumann, Fabian & Sokolov, Igor M. & Tyloo, Melvyn, 2020. "A Laplacian approach to stubborn agents and their role in opinion formation on influence networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    7. Catherine A. Glass & David H. Glass, 2021. "Social Influence of Competing Groups and Leaders in Opinion Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 799-823, October.
    8. Lopolito, Antonio & Caferra, Rocco & Morone, Piergiuseppe, 2024. "Contagion, fast and low: Modeling social influence in socio-ecological systems," Ecological Modelling, Elsevier, vol. 491(C).
    9. Zhou, Jianfeng & Lou, Yang & Chen, Guanrong & Tang, Wallace K.S., 2018. "Multi-language naming game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 620-634.
    10. 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).
    11. Fudolig, Mikaela Irene D. & Esguerra, Jose Perico H., 2014. "Analytic treatment of consensus achievement in the single-type zealotry voter model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 626-634.

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