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Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias.

Maria Cecilia Gimenez1, Luis Reinaudi2, Serge Galam3

  • 1Instituto de Física Enrique Gaviola (IFEG-Conicet), Facultad de Matemática, Astronomía, Fśica y Computación (FaMAF, Universidad Nacional de Córdoba), Córdoba X5000HUA, Argentina.

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Summary
This summary is machine-generated.

This study explores opinion dynamics with majority rule, contrarian behavior, and propaganda. Findings reveal distinct oscillatory regimes based on temperature, influencing collective opinion behavior.

Keywords:
majority rule modelnoiseopinion dynamicsperiodic fieldstochastic resonance

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Area of Science:

  • Social dynamics
  • Statistical physics
  • Agent-based modeling

Background:

  • Understanding collective opinion formation is crucial in social and political science.
  • Agent-based models are powerful tools for simulating complex social behaviors.
  • External influences like propaganda can significantly alter group decision-making.

Purpose of the Study:

  • To investigate the Galam majority rule model incorporating contrarian behavior and oscillating propaganda.
  • To analyze the influence of temperature and an external field on opinion dynamics.
  • To identify and characterize different dynamical regimes within the model.

Main Methods:

  • Simulations of agent interactions on a complete graph.
  • Modeling of majority rule and contrarian behavior with a probability p(t).
  • Incorporation of a time-dependent oscillating field mimicking propaganda.
  • Analysis of mean opinion and residence time distributions.
  • Application of a mean-field approach for theoretical insights.

Main Results:

  • Discovery of distinct oscillatory regimes: bimodal for TTc.
  • Identification of a resonance temperature T* where system response is maximized.
  • Demonstration that the external field influences agents' adherence to majority rule.
  • The mean-field approach provides theoretical validation for observed phenomena.

Conclusions:

  • The model exhibits complex opinion dynamics influenced by temperature, contrarianism, and propaganda.
  • Phase transitions (Tc) and resonance phenomena (T*) are key characteristics of the system's behavior.
  • The interplay between internal agent behavior and external influences shapes collective outcomes.