Mathematical Models of Self-Appraisal in Social Networks
In social networks where individuals discuss opinions on a sequence of topics, the self-confidence an individual exercises in relation to one topic, as measured by the weighting given to their own opinion as against the opinion of all others, can vary in the light of the self-appraisal by the indivi...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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SPRINGER HEIDELBERG
2021
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/89030 |
| _version_ | 1848765142941040640 |
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| author | Anderson, B.D.O. Ye, Mengbin |
| author_facet | Anderson, B.D.O. Ye, Mengbin |
| author_sort | Anderson, B.D.O. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In social networks where individuals discuss opinions on a sequence of topics, the self-confidence an individual exercises in relation to one topic, as measured by the weighting given to their own opinion as against the opinion of all others, can vary in the light of the self-appraisal by the individual of their contribution to the previous topic. This observation gives rise to a type of model termed a DeGroot-Friedkin model. This paper reviews a number of results concerning this model. These include the asymptotic behavior of the self-confidence (as the number of topics goes to infinity), the possible emergence of an autocrat or small cohort of leaders, the effect of changes in the weighting given to opinions of others (in the light for example of their perceived expertise in relation to a particular topic under discussion), and the inclusion in the model of individual behavioral characteristics such as humility, arrogance, etc. Such behavioral characteristics create new opportunities for autocrats to emerge. |
| first_indexed | 2025-11-14T11:30:33Z |
| format | Journal Article |
| id | curtin-20.500.11937-89030 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:30:33Z |
| publishDate | 2021 |
| publisher | SPRINGER HEIDELBERG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-890302024-06-06T02:01:43Z Mathematical Models of Self-Appraisal in Social Networks Anderson, B.D.O. Ye, Mengbin Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Mathematics DeGroot Degroot-Friedkin opinion dynamics self-appraisal social influence network DEGROOT-FRIEDKIN MODEL OPINION DYNAMICS FORMAL THEORY EVOLUTION POWER CONFIDENCE TUTORIAL SYSTEMS In social networks where individuals discuss opinions on a sequence of topics, the self-confidence an individual exercises in relation to one topic, as measured by the weighting given to their own opinion as against the opinion of all others, can vary in the light of the self-appraisal by the individual of their contribution to the previous topic. This observation gives rise to a type of model termed a DeGroot-Friedkin model. This paper reviews a number of results concerning this model. These include the asymptotic behavior of the self-confidence (as the number of topics goes to infinity), the possible emergence of an autocrat or small cohort of leaders, the effect of changes in the weighting given to opinions of others (in the light for example of their perceived expertise in relation to a particular topic under discussion), and the inclusion in the model of individual behavioral characteristics such as humility, arrogance, etc. Such behavioral characteristics create new opportunities for autocrats to emerge. 2021 Journal Article http://hdl.handle.net/20.500.11937/89030 10.1007/s11424-021-1193-y English SPRINGER HEIDELBERG fulltext |
| spellingShingle | Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Mathematics DeGroot Degroot-Friedkin opinion dynamics self-appraisal social influence network DEGROOT-FRIEDKIN MODEL OPINION DYNAMICS FORMAL THEORY EVOLUTION POWER CONFIDENCE TUTORIAL SYSTEMS Anderson, B.D.O. Ye, Mengbin Mathematical Models of Self-Appraisal in Social Networks |
| title | Mathematical Models of Self-Appraisal in Social Networks |
| title_full | Mathematical Models of Self-Appraisal in Social Networks |
| title_fullStr | Mathematical Models of Self-Appraisal in Social Networks |
| title_full_unstemmed | Mathematical Models of Self-Appraisal in Social Networks |
| title_short | Mathematical Models of Self-Appraisal in Social Networks |
| title_sort | mathematical models of self-appraisal in social networks |
| topic | Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Mathematics DeGroot Degroot-Friedkin opinion dynamics self-appraisal social influence network DEGROOT-FRIEDKIN MODEL OPINION DYNAMICS FORMAL THEORY EVOLUTION POWER CONFIDENCE TUTORIAL SYSTEMS |
| url | http://hdl.handle.net/20.500.11937/89030 |