Phase transition in a coevolving network of conformist and contrarian voters

Abstract

In the coevolving voter model, each voter has one of two diametrically opposite opinions, and a voter encountering a neighbor with the opposite opinion may either adopt it or rewire the connection to another randomly chosen voter sharing the same opinion. As we smoothly change the relative frequency of rewiring compared to that of adoption, there occurs a phase transition between an active phase and a frozen phase. By performing extensive Monte Carlo calculations, we show that the phase transition is characterized by critical exponents β=0.54(1) and ν =1.5(1), which differ from the existing mean-field-type prediction. We furthermore extend the model by introducing a contrarian type that tries to have neighbors with the opposite opinion, and show that the critical behavior still belongs to the same universality class irrespective of such contrarians' fraction.

arXiv comment11 pages, 5 figures

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• Inhibition induced explosive synchronization in multiplex networks
• The noisy voter model under the influence of contrarians
• Voter models with contrarian agents
• Bifurcations in models of a society of reasonable contrarians and conformists
• Dynamical phase transitions in the nonreciprocal Ising model
• Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions
• Hysteresis and disorder-induced order in continuous kinetic-like opinion dynamics in complex networks
• Threshold cascade dynamics on coevolving networks
• Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
• Contrarian Voter Model under the influence of an Oscillating Propaganda: Consensus, Bimodal behavior and Stochastic Resonance
• Dynamics of Influence on Hierarchical Structures
• Collective decision making with a mix of majority and minority seekers
• Stochastic Bifurcations in the Nonlinear Parallel Ising Model
• Local Symmetry and Global Structure in Adaptive Voter Models
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Voter Model with Arbitrary Degree Dependence: Clout, Confidence and Irreversibility
• Aging in coevolving voter models