Ratio-Dependent Contrarian Activation in Opinion Dynamics

Area of Science:

• Social Sciences
• Computational Social Science
• Physics

Background:

• Opinion dynamics models explore how collective opinions form in populations.
• Contrarians, individuals resisting prevailing views, can significantly influence opinion spread.
• The Galam Majority Model provides a framework for simulating these dynamics.

Purpose of the Study:

• To investigate the impact of mixed contrarian types on opinion dynamics.
• To analyze how contrarian activation, based on local group ratios, affects population-wide opinions.
• To develop analytical methods for understanding opinion evolution under these conditions.

Main Methods:

• Utilizing the Galam Majority Model with a population of conformists and two types of contrarians.
• Defining contrarian activation based on majority/minority ratios within discussion groups of size 3.
• Deriving explicit update equations and analytically determining fixed points and their stability.

Main Results:

• Introduced two contrarian types with proportions c3,0 and c2,1 for specific group ratios.
• Obtained a full two-dimensional landscape of opinion dynamics.
• Demonstrated that setting c3,0=c2,1 recovers previous results with uniform contrarians.

Conclusions:

• The model allows for novel disruptive strategies in opinion dynamics.
• Strategies can ensure either the initially larger opinion prevails or a random fifty/fifty outcome.
• Findings offer insights into controlling societal opinion formation and polarization.