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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.14918 |
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| _version_ | 1866911161714212864 |
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| author | Reynolds, David N. Torres, Pedro J. |
| author_facet | Reynolds, David N. Torres, Pedro J. |
| contents | This paper investigates some aspects of a recently proposed nonlinear mathematical model of opinion dynamics. The main objective is to identify the network structures that maximize the average equilibrium opinion (HMO). We prove that consensus is not generally attainable for populations with heterogeneous convictions, and that the highest mean does not necessarily correspond to consensus. Our analysis includes a necessary and sufficient condition for achieving the HMO, description of an algorithm for constructing optimal connectivity matrices, and strategies for pruning agents when heterogeneity obstructs mean optimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consensus, polarization, and optimization of the mean value in a nonlinear model of opinion dynamics Reynolds, David N. Torres, Pedro J. Optimization and Control 91D30 This paper investigates some aspects of a recently proposed nonlinear mathematical model of opinion dynamics. The main objective is to identify the network structures that maximize the average equilibrium opinion (HMO). We prove that consensus is not generally attainable for populations with heterogeneous convictions, and that the highest mean does not necessarily correspond to consensus. Our analysis includes a necessary and sufficient condition for achieving the HMO, description of an algorithm for constructing optimal connectivity matrices, and strategies for pruning agents when heterogeneity obstructs mean optimization. |
| title | Consensus, polarization, and optimization of the mean value in a nonlinear model of opinion dynamics |
| topic | Optimization and Control 91D30 |
| url | https://arxiv.org/abs/2509.14918 |