Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks
© 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,...
| Main Authors: | , |
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| Format: | Conference Paper |
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2019
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| Online Access: | http://purl.org/au-research/grants/arc/DP160104500 http://hdl.handle.net/20.500.11937/82648 |
| _version_ | 1848764528925343744 |
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| author | Ye, Mengbin Anderson, B.D.O. |
| author_facet | Ye, Mengbin Anderson, B.D.O. |
| author_sort | Ye, Mengbin |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 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. |
| first_indexed | 2025-11-14T11:20:48Z |
| format | Conference Paper |
| id | curtin-20.500.11937-82648 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:20:48Z |
| publishDate | 2019 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-826482022-10-27T06:06:04Z Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks Ye, Mengbin Anderson, B.D.O. © 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. 2019 Conference Paper http://hdl.handle.net/20.500.11937/82648 10.23919/ECC.2019.8795783 http://purl.org/au-research/grants/arc/DP160104500 fulltext |
| spellingShingle | Ye, Mengbin Anderson, B.D.O. Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title | Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title_full | Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title_fullStr | Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title_full_unstemmed | Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title_short | Modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| title_sort | modelling of individual behaviour in the degroot-friedkin self-appraisal dynamics on social networks |
| url | http://purl.org/au-research/grants/arc/DP160104500 http://hdl.handle.net/20.500.11937/82648 |