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On The Consensus Threshold For The Opinion Dynamics Of Krause–Hegselmann

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  • SANTO FORTUNATO

    (Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany)

Abstract

In the consensus model of Krause–Hegselmann, opinions are real numbers between 0 and 1, and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter ∊. A randomly chosen agent takes the average of the opinions of all neighboring agents which are compatible with it. We propose a conjecture, based on numerical evidence, on the value of the consensus threshold∊cof this model. We claim that∊ccan take only two possible values, depending on the behavior of the average degreedof the graph representing the social relationships, when the populationNapproaches infinity: ifddiverges whenN→∞,∊cequals the consensus threshold∊i~0.2on the complete graph; if insteaddstays finite whenN→∞,∊c=1/2as for the model of Deffuantet al.

Suggested Citation

  • Santo Fortunato, 2005. "On The Consensus Threshold For The Opinion Dynamics Of Krause–Hegselmann," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 259-270.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:02:n:s0129183105007078
    DOI: 10.1142/S0129183105007078
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    Cited by:

    1. Hou, Jian & Li, Wenshan & Jiang, Mingyue, 2021. "Opinion dynamics in modified expressed and private model with bounded confidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    2. Xi Chen & Xiao Zhang & Yong Xie & Wei Li, 2017. "Opinion Dynamics of Social-Similarity-Based Hegselmann–Krause Model," Complexity, Hindawi, vol. 2017, pages 1-12, December.
    3. Yan Wan & Baojun Ma & Yu Pan, 2018. "Opinion evolution of online consumer reviews in the e-commerce environment," Electronic Commerce Research, Springer, vol. 18(2), pages 291-311, June.
    4. Biondo, A.E. & Brosio, G. & Pluchino, A. & Zanola, R., 2022. "Authoritarianism vs. democracy: Simulating responses to disease outbreaks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

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    Keywords

    Sociophysics; Monte Carlo simulations;

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