Opinion dynamics of two populations with time-delayed coupling
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913308595978240 |
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| author | Cicolani, Chiara Pignotti, Cristina |
| author_facet | Cicolani, Chiara Pignotti, Cristina |
| contents | We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using careful estimates of the system's trajectories, we are able to prove an asymptotic convergence to consensus result. Some numerical tests illustrate the theoretical result and point out some possible applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Opinion dynamics of two populations with time-delayed coupling Cicolani, Chiara Pignotti, Cristina Optimization and Control We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using careful estimates of the system's trajectories, we are able to prove an asymptotic convergence to consensus result. Some numerical tests illustrate the theoretical result and point out some possible applications. |
| title | Opinion dynamics of two populations with time-delayed coupling |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.07007 |