Multi-topic belief formation through bifurcations over signed social networks
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914856725118976 |
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| author | Bizyaeva, Anastasia Franci, Alessio Leonard, Naomi Ehrich |
| author_facet | Bizyaeva, Anastasia Franci, Alessio Leonard, Naomi Ehrich |
| contents | We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and various sources of cognitive dissonance posited by recent theories in social psychology. We prove that agents become opinionated as a consequence of a bifurcation. We analyze how the balance of social network effects in the model controls the nature of the bifurcation and, therefore, the belief-forming limit-set solutions. Our analysis provides constructive conditions on how multi-stable network belief equilibria and belief oscillations emerging at a belief-forming bifurcation depend on the communication network graph and belief system network graph. Our model and analysis provide new theoretical insights on the dynamics of social systems and a new principled framework for designing decentralized decision-making on engineered networks in the presence of structured relationships among alternatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02755 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multi-topic belief formation through bifurcations over signed social networks Bizyaeva, Anastasia Franci, Alessio Leonard, Naomi Ehrich Physics and Society Multiagent Systems Social and Information Networks Dynamical Systems Optimization and Control We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and various sources of cognitive dissonance posited by recent theories in social psychology. We prove that agents become opinionated as a consequence of a bifurcation. We analyze how the balance of social network effects in the model controls the nature of the bifurcation and, therefore, the belief-forming limit-set solutions. Our analysis provides constructive conditions on how multi-stable network belief equilibria and belief oscillations emerging at a belief-forming bifurcation depend on the communication network graph and belief system network graph. Our model and analysis provide new theoretical insights on the dynamics of social systems and a new principled framework for designing decentralized decision-making on engineered networks in the presence of structured relationships among alternatives. |
| title | Multi-topic belief formation through bifurcations over signed social networks |
| topic | Physics and Society Multiagent Systems Social and Information Networks Dynamical Systems Optimization and Control |
| url | https://arxiv.org/abs/2308.02755 |