Phase Transition in the Galam’s Majority-Rule Model with Information-Mediated Independence

We study the Galam’s majority-rule model in the presence of an independent behavior that can be driven intrinsically or can be mediated by information regarding the collective opinion of the whole population. We first apply the mean-field approach where we obtained an explicit time-dependent solutio...

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Bibliographic Details
Published in:Physics (Online) 2023-09, Vol.5 (3), p.911-922
Main Authors: Oestereich, André L., Pires, Marcelo A., Duarte Queirós, Silvio M., Crokidakis, Nuno
Format: Article
Language:English
Subjects:
collective phenomena in social systems
Decision making
Election results
Galam model
Ising model
Majority rule
Monte Carlo simulation
nonequilibrium phase transitions
Order parameters
order-disorder Monte Carlo simulation
Phase transitions
Population
Presidential elections
social dynamics
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Summary:We study the Galam’s majority-rule model in the presence of an independent behavior that can be driven intrinsically or can be mediated by information regarding the collective opinion of the whole population. We first apply the mean-field approach where we obtained an explicit time-dependent solution for the order parameter of the model. We complement our results with Monte Carlo simulations where our findings indicate that independent opinion leads to order–disorder continuous nonequilibrium phase transitions. Finite-size scaling analysis show that the model belongs to the mean-field Ising model universality class. Moreover, results from an approach with the Kramers–Moyal coefficients provide insights about the social volatility.
ISSN:2624-8174
2624-8174
DOI:10.3390/physics5030059