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Notes on self-confidence in opinion dynamics

Author

Listed:
  • Zhaogang Ding

    (School of Public Management (Emergency Management), Northwest University, Xi’an 710069, P. R. China)

  • Xinlu Shi

    (School of Economics and Finance, Xi’an International Studies University, Xi’an 710128, P. R. China)

  • Yong Wu

    (School of Public Management (Emergency Management), Northwest University, Xi’an 710069, P. R. China)

Abstract

In some research involving opinion formation, there are some details that have not been studied deeply, just as the role of a person’s self-confidence in opinion dynamics. This small but important detail needs to be cleared up. Hence, in this paper, we want to discuss the self-confidence in opinion dynamics with regard to some common linear and nonlinear models: DeGroot, Friedkin–Johnsen, Deffuant–Weisbuch and Hegselmann–Krause (HK) model. We unfold that (1) A person’s self-confidence assumption has an important impact on the consensus condition in DeGroot model; (2) The relationship between the self-confidence on the initial opinion and the current opinion follows a Kuznets curve in Friedkin–Johnsen model; (3) A person’s self-confidence has a close relationship with the convergence parameter in Deffuant–Weisbuch model, which has little impact on the number of opinion clusters at the stable stage; and (4) A person’s self-confidence varies with time at first and then stays at a certain level finally in the HK model, while the person’s self-confidence does not change with time in above three models.

Suggested Citation

  • Zhaogang Ding & Xinlu Shi & Yong Wu, 2020. "Notes on self-confidence in opinion dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(11), pages 1-15, November.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:11:n:s0129183120501636
    DOI: 10.1142/S0129183120501636
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