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Social contagions with heterogeneous credibility

Author

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  • Wang, Wei
  • Chen, Xiao-Long
  • Zhong, Lin-Feng

Abstract

An individual’s credibility is strongly affected by their social status. Assuming that a person’s level of credibility correlates with their degree from a microscopic perspective, we propose a non-Markovian model to understand how the heterogeneity of credibility levels affects social contagions within a population. To describe the model, we develop a heterogeneous edge-based compartmental theory. Through extensive numerical simulations, we find that the growth pattern of the final adoption size versus the information transmission probability is discontinuous, and that in ER networks the final adoption size increases when hubs have high levels of credibility. When hubs in an ER network have low levels of credibility, the growth pattern is continuous. We also study social contagions on SF networks and find that the growth pattern versus information transmission probability is always continuous. On both ER and SF networks, the final adoption size versus the heterogeneity parameter exhibits a discontinuous pattern. The results of our theory agree well with those of numerical simulations.

Suggested Citation

  • Wang, Wei & Chen, Xiao-Long & Zhong, Lin-Feng, 2018. "Social contagions with heterogeneous credibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 604-610.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:604-610
    DOI: 10.1016/j.physa.2018.02.052
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    Citations

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    Cited by:

    1. Yuda Wang & Gang Li, 2018. "The Spreading of Information in Online Social Networks through Cellular Automata," Complexity, Hindawi, vol. 2018, pages 1-9, November.
    2. Shang, Jiaxing & Wu, Hongchun & Zhou, Shangbo & Zhong, Jiang & Feng, Yong & Qiang, Baohua, 2018. "IMPC: Influence maximization based on multi-neighbor potential in community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1085-1103.
    3. Zhang, Gui-Qing & Baró, Jordi & Cheng, Fang-Yin & Huang, He & Wang, Lin, 2019. "Avalanche dynamics of a generalized earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1463-1471.
    4. Leng, Hui & Zhao, Yi & Wang, Dong, 2022. "Message passing approach for social contagions based on the trust probability with multiple influence factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    5. Qian, Qian & Yang, Yang & Gu, Jing & Feng, Hairong, 2019. "Information authenticity, spreading willingness and credit risk contagion – A dual-layer network perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).

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