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Candidate voter dynamics

Author

Listed:
  • Börgers, Christoph
  • Dragovic, Natasa
  • Kirshtein, Arkadz

Abstract

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.

Suggested Citation

  • Börgers, Christoph & Dragovic, Natasa & Kirshtein, Arkadz, 2026. "Candidate voter dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    • Handle: RePEc:eee:phsmap:v:682:y:2026:i:c:s0378437125008283
    DOI: 10.1016/j.physa.2025.131176
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    References listed on IDEAS

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