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    Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks

    BY017_ECC_DFBehaviour_Accepted.pdf (179.3Kb)
    Access Status
    Open access
    Authors
    Ye, Mengbin
    Anderson, B.D.O.
    Date
    2019
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Ye, M. and Anderson, B.D.O. 2019. Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks. In Proceedings of 18th European Control Conference (ECC), 25-28 June 2019, pp. 2011-2017. Naples, Italy.
    Source Title
    2019 18th European Control Conference, ECC 2019
    DOI
    10.23919/ECC.2019.8795783
    ISBN
    9783907144008
    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
    Remarks

    © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

    URI
    http://hdl.handle.net/20.500.11937/82648
    Collection
    • Curtin Research Publications
    Abstract

    © 2019 EUCA. The DeGroot-Friedkin model describes how an individual's self-confidence in his or her own opinion evolves as that individual participates in a group discussing a sequence of topics; as the individual has more impact or less impact (termed social power) on a given topic discussion, his or her self-confidence increases or decreases due to the process of reflected self-appraisal. This paper proposes a broad generalisation of the DeGroot-Friedkin model by allowing each individual's self-appraisal process to be distorted by behavioural characteristics such as humility. We establish the generalised dynamical model for the evolution of individuals' social power (a measure of an individual's contribution to each topic discussion). For some types of individuals, whom we term 'humble' and 'unreactive', results are provided on the existence of equilibria, whether such equilibria are unique, and convergence to said equilibria. Simulations are used to illustrate that networks of 'emotional' individuals, who at times act like humble individuals and at other times like arrogant individuals, can have at least two attractive equilibria.

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