The impact of social noise on the majority rule model across various network topologies

Abstract

We explore the impact of social noise, characterized by nonconformist behavior, on the phase transition within the framework of the majority rule model. The order-disorder transition can reflect the consensus-polarization state in a social context. This study covers various network topologies, including complete graphs, two-dimensional (2-D) square lattices, three-dimensional (3-D) square lattices, and heterogeneous or complex networks such as Watts-Strogatz (W-S), Barabási-Albert (B-A), and Erdős-Rényi (E-R) networks, as well as their combinations (multilayer network). Social behavior is represented by the parameter \( p \), which indicates the probability of agents exhibiting nonconformist behavior. Our results show that the model exhibits a continuous phase transition across all networks. Through finite-size scaling analysis and evaluation of critical exponents, our results suggest that the model falls into the same universality class as the Ising model.

arXiv comment14 pages, 17 figures

References in corpus (26)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• The structure of scientific collaboration networks
• Statistical physics of social dynamics
• Epidemic processes in complex networks
• Sociophysics: A review of Galam models
• Dynamics of Majority Rule
• Sociophysics: a personal testimony
• Finite-size scaling in complex networks
• Majority-vote model on random graphs
• Majority versus minority dynamics: Phase transition in an interacting two-state spin system
• Majority Rule Dynamics in Finite Dimensions
• Disorder induced phase transition in kinetic models of opinion dynamics
• Social Influences in Opinion Dynamics: the Role of Conformity
• Phase transition in the Sznajd model with independence
• A new model of binary opinion dynamics: coarsening and effect of disorder
• Phase transitions in the q-voter model with noise on a duplex clique
• Critical noise of majority-vote model on complex networks
• Inflexibility and independence: Phase transitions in the majority-rule model
• Phase transition in kinetic exchange opinion models with independence
• Phase transitions and universality in the Sznajd model with anticonformity
• Mass media and its impact on opinion dynamics of the nonlinear $q$-voter model
• Phase transition in the majority rule model with the nonconformist agents
• Phase transition in the Galam's majority-rule model with information-mediated independence
• Phase transition and universality of the majority-rule model on complex networks
• Independence role in the generalized Sznajd model

Cited by in corpus (2)

• Nonlinear $q$-voter model involving nonconformity on networks
• Non-exchangeable evolutionary and mean field games and their applications