Candidate Voter Dynamics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908665749962752 |
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| author | Borgers, Christoph Dragovic, Natasa Kirshtein, Arkadz |
| author_facet | Borgers, Christoph Dragovic, Natasa Kirshtein, Arkadz |
| contents | We model dynamically changing candidate positions in the face of a dynamic electorate. To formulate our equations, we use a space-time-continuous Hegselmann-Krause equation, which we solve using a particle method. We use the combined candidate-voter model to demonstrate the possibility of discontinuous jumps in candidate behavior as parameters of the model are varied. We also extend the analysis to a three candidate scenario. We observe that depending on the parameters, candidates do not always come or stay together at their dynamically evolving position. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Candidate Voter Dynamics Borgers, Christoph Dragovic, Natasa Kirshtein, Arkadz Physics and Society Dynamical Systems We model dynamically changing candidate positions in the face of a dynamic electorate. To formulate our equations, we use a space-time-continuous Hegselmann-Krause equation, which we solve using a particle method. We use the combined candidate-voter model to demonstrate the possibility of discontinuous jumps in candidate behavior as parameters of the model are varied. We also extend the analysis to a three candidate scenario. We observe that depending on the parameters, candidates do not always come or stay together at their dynamically evolving position. |
| title | Candidate Voter Dynamics |
| topic | Physics and Society Dynamical Systems |
| url | https://arxiv.org/abs/2505.03591 |