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Threshold q-voter model.

Allan R Vieira1, Celia Anteneodo1,2

  • 1Department of Physics, PUC-Rio, Rua Marquês de São Vicente, 225, 22451-900, Rio de Janeiro, Brazil.

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|June 17, 2018
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Summary
This summary is machine-generated.

We introduce a new threshold q-voter model for opinion dynamics. This model allows agents to change their minds based on a minimum number of neighbors holding opposing views, leading to new collective behaviors.

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Area of Science:

  • Social dynamics
  • Statistical physics
  • Computational social science

Background:

  • The standard q-voter model assumes unanimity for opinion change.
  • Existing models often lack realistic persuasion thresholds.
  • Understanding collective opinion formation is crucial in social systems.

Purpose of the Study:

  • To introduce and analyze a novel threshold q-voter model for opinion dynamics.
  • To explore emergent collective states and phase transitions beyond the standard q-voter model.
  • To investigate the impact of varying persuasion thresholds on opinion dynamics.

Main Methods:

  • Agent-based modeling of opinion dynamics.
  • Introduction of a threshold parameter (q0) for opinion change.
  • Inclusion of stochastic probability (ɛ) for agent mind-changing.
  • Analysis of phase transitions and collective states.

Main Results:

  • The threshold q-voter model exhibits richer phenomenology than the standard model.
  • Emergent collective states and phase transitions are observed, including nonconsensus majority and mixed phases.
  • The model reproduces behaviors seen in q-voter models with stochastic drivers like nonconformity and independence.

Conclusions:

  • The threshold q-voter model provides a more realistic framework for opinion dynamics.
  • Varying the persuasion threshold (q0) significantly influences collective behavior and phase transitions.
  • This model offers new insights into how social influence and individual thresholds shape group opinions.