We investigate majority rule dynamics in a population with two classes of people, each with two opinion states ±1 , and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the majority opinion if all group members belong to the same class; if not, majority rule is applied with rate ε . Consensus is achieved in a time that scales logarithmically with population size if ε ≥εc=1/9 . For ε <εc , the population can get trapped in a polarized state, with one class preferring the +1 state and the other preferring −1 . The time to escape this polarized state and reach consensus scales exponentially with population size.
Physical Review E
- Pub Date:
- June 2021
- Condensed Matter - Statistical Mechanics;
- Physics - Physics and Society
- Main text: 5 pages, 6 figures. Supplementary material, 5 page2, 2 figures