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    Expressed and Private Opinion Dynamics on Influence Networks with Asynchronous Updating

    Access Status
    In process
    Authors
    Xia, W.
    Liang, H.
    Ye, Mengbin
    Date
    2020
    Type
    Conference Paper
    
    Metadata
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    Citation
    Xia, W. and Liang, H. and Ye, M. 2020. Expressed and Private Opinion Dynamics on Influence Networks with Asynchronous Updating.
    Source Title
    Proceedings of the IEEE Conference on Decision and Control
    DOI
    10.1109/CDC42340.2020.9303803
    ISBN
    9781728174471
    ISSN
    0743-1546
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/82625
    Collection
    • Curtin Research Publications
    Abstract

    © 2020 IEEE. In this paper, an asynchronous discrete-time opinion dynamics model on a social influence network is considered. At each time instant, a single individual activates and updates two state variables simultaneously. The individual's new private opinion is a weighted average of her current private opinion, the expressed opinions of her neighbors, and a constant prejudice. Meanwhile, the individual's new expressed opinion is equal to her current private opinion, altered due to a pressure to conform to the public opinion as perceived by the individual, being the average expressed opinion among her neighbors. We analyze the system for social networks which are rooted, and show that if no individual holds a prejudice, then a mild assumption on the activation sequence of the individuals guarantees convergence. In particular, the expressed and private opinions of all individuals converge to the same value exponentially fast, with two lower bounds on convergence speeds based on two different assumptions on the network topology. Simulations are provided to illustrate the result, and provide support to the conjecture that the system dynamics may converge even if individuals hold an existing prejudice.

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