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    Modification of social dominance in social networks by selective adjustment of interpersonal weights

    84163.pdf (303.1Kb)
    Access Status
    Open access
    Authors
    Ye, Mengbin
    Liu, J.
    Anderson, B.D.O.
    Yu, C.
    Basar, 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 Basar, T. 2018. Modification of social dominance in social networks by selective adjustment of interpersonal weights. In IEEE 56th Annual Conference on Decision and Control (CDC), 12-15 Dec 2017, Melbourne, VIC, Australia.
    Source Title
    2017 IEEE 56th Annual Conference on Decision and Control (CDC)
    DOI
    10.1109/CDC.2017.8264081
    ISBN
    9781509028733
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160104500
    URI
    http://hdl.handle.net/20.500.11937/84244
    Collection
    • Curtin Research Publications
    Abstract

    According to the DeGroot-Friedkin model of a social network, an individual's social power evolves as the network discusses individual opinions over a sequence of issues. Under mild assumptions on the connectivity of the network, the social power of every individual converges to a constant nonnegative value as the number of issues discussed increases. If the network has a special topology, namely the 'star topology', then all social power accumulates with the individual at the centre of the star. This paper studies the strategic introduction of new individuals and/or interpersonal relationships into a social network with the star topology so as to reduce the social power of the centre individual. In fact, several strategies are proposed. For each strategy, we derive necessary and sufficient conditions on the strength of the new interpersonal relationships, based on local information, which ensures that the centre individual no longer has the greatest social power within the social network. Interpretations of these conditions reveal that the strategies are remarkably intuitive and that certain strategies are favourable compared to others, all of which is sociologically expected.

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