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    On the Analysis of the DeGroot-Friedkin Model with Dynamic Relative Interaction Matrices

    Access Status
    Fulltext not available
    Authors
    Ye, Mengbin
    Liu, J.
    Anderson, B.D.O.
    Yu, C.
    Başar, T.
    Date
    2017
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Ye, M. and Liu, J. and Anderson, B.D.O. and Yu, C. and Başar, T. 2017. On the Analysis of the DeGroot-Friedkin Model with Dynamic Relative Interaction Matrices. In: 20th World Congress of the International-Federation-of-Automatic-Control (IFAC), 9th Jul 2017, Toulouse, FRANCE.
    Source Title
    IFAC PAPERSONLINE
    Source Conference
    20th World Congress of the International-Federation-of-Automatic-Control (IFAC)
    DOI
    10.1016/j.ifacol.2017.08.1426
    ISSN
    2405-8963
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/84362
    Collection
    • Curtin Research Publications
    Abstract

    This paper analyses the DeGroot-Friedkin model for evolution of the individuals’ social powers in a social network when the network topology varies dynamically (described by dynamic relative interaction matrices). The DeGroot-Friedkin model describes how individual social power (self-appraisal, self-weight) evolves as a network of individuals discuss opinions on a sequence of issues. We seek to study dynamically changing relative interactions because interactions may change depending on the issue being discussed. Specifically, we study relative interaction matrices which vary periodically with respect to the issues. This may reflect a group of individuals, e.g. a government cabinet, that meet regularly to discuss a set of issues sequentially. It is shown that individuals’ social powers admit a periodic solution. Initially, we study a social network which varies periodically between two relative interaction matrices, and then generalise to an arbitrary number of relative interaction matrices.

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