Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias

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.