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Consensus time and conformity in the adaptive voter model.

Tim Rogers1, Thilo Gross

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Summary

We extended the adaptive voter model to study opinion formation, finding that seeking more opinions resolves conflicts and leads to consensus. This research reveals a dynamical phase transition in the time it takes for agreement to emerge.

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Area of Science:

  • Sociophysics
  • Computational Social Science
  • Opinion Dynamics

Background:

  • The adaptive voter model is a key framework for understanding how opinions spread and stabilize in social networks.
  • Existing models often simplify conflict resolution, limiting their applicability to complex real-world scenarios.

Purpose of the Study:

  • To introduce and analyze an extended adaptive voter model incorporating a novel conflict resolution mechanism.
  • To analytically determine the time required for consensus formation in both the original and extended models.
  • To investigate the emergent phenomena and phase transitions within these opinion dynamics models.

Main Methods:

  • Analytical study of the extended adaptive voter model.
  • Mathematical analysis of consensus emergence time.
  • Investigation of scaling behavior and dynamical phase transitions.

Main Results:

  • The extended model, where conflicts are resolved by seeking additional opinions, facilitates faster consensus.
  • A dynamical phase transition was identified in the scaling behavior of the mean time to consensus.
  • The study elucidates the complex phenomenology of adaptive voter models.

Conclusions:

  • The proposed extension offers a more realistic representation of opinion formation processes.
  • Understanding consensus dynamics and phase transitions is crucial for predicting social behavior.
  • The findings contribute to the theoretical framework of opinion dynamics and social influence.