Role of conviction in nonequilibrium models of opinion formation

Abstract

We analyze the critical behavior of a class of discrete opinion models in the presence of disorder. Within this class, each agent opinion takes a discrete value ($\pm 1$ or 0) and its time evolution is ruled by two terms, one representing agent-agent interactions and the other the degree of conviction or persuasion (a self-interaction). The mean-field limit, where each agent can interact evenly with any other, is considered. Disorder is introduced in the strength of both interactions, with either quenched or annealed random variables. With probability $p$ (1-$p$), a pairwise interaction reflects a negative (positive) coupling, while the degree of conviction also follows a binary probability distribution (two different discrete probability distributions are considered). Numerical simulations show that a non-equilibrium continuous phase transition, from a disordered state to a state with a prevailing opinion, occurs at a critical point $p_c$ that depends on the distribution of the convictions, the transition being spoiled in some cases. We also show how the critical line, for each model, is affected by the update scheme (either parallel or sequential) as well as by the kind of disorder (either quenched or annealed).

arXiv comment7 pages, 5 figures, to appear in PRE

References in corpus (20)

• Statistical physics of social dynamics
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Minority Opinion Spreading in Random Geometry
• Dynamics of Majority Rule
• Contrarian Deterministic Effect: the "Hung Elections Scenario"
• Consensus formation on adaptive networks
• Rational Group Decision Making. A random field Ising model at T=0
• Application of Statistical Physics to Politics
• Disorder induced phase transition in kinetic models of opinion dynamics
• Spontaneous emergence of contrarian-like behaviour in an opinion spreading model
• Opinion formation in the kinetic exchange models: Spontaneous symmetry breaking transition
• Effects of mass media on opinion spreading in the Sznajd sociophysics model
• Mean field solutions of kinetic exchange opinion models
• Phase transitions in a two parameter model of opinion dynamics with random kinetic exchanges
• The dynamics of opinion in hierarchical organizations
• Critical behavior and phase diagrams of a spin-1 Blume-Capel model with random crystal field interactions: An effective field theory analysis
• The Sznajd model with limited persuasion: competition between high-reputation and hesitant agents
• Phase transitions, memory and frustration in a Sznajd-like model with synchronous updating
• Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states
• Combined update scheme in the Sznajd model

Cited by in corpus (39)

• Opinion dynamics: models, extensions and external effects
• How does public opinion become extreme?
• Modeling Radicalization Phenomena in Heterogeneous Populations
• Impact of contrarians and intransigents in a kinetic model of opinion dynamics
• Kinetic models of opinion formation in the presence of personal conviction
• Disorder induced phase transition in an opinion dynamics model: results in 2 and 3 dimensions
• Threshold $q$-voter model
• The influence of persuasion in opinion formation and polarization
• Pair approximation for the noisy threshold $q$-voter model
• Three-state opinion dynamics in modular networks
• Phase transition in a coevolving network of conformist and contrarian voters
• Opinion diversity and community formation in adaptive networks
• Role of noise and agents' convictions on opinion spreading in a three-state voter-like model
• Symmetry breaking by heating in a continuous opinion model
• Critical noise can make the minority candidate win: The US Presidential Election cases
• Consequences of nonconformist behaviors in a continuous opinion model
• Long route to consensus: Two stage coarsening in a binary choice voting model
• Role of the plurality rule in multiple choices
• A three-state kinetic agent-based model to analyze tax evasion dynamics
• Opinion dynamics in two dimensions: domain coarsening leads to stable bi-polarization and anomalous scaling exponents
• Modeling the dynamics of dissent
• Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
• Damage spreading transition in an opinion dynamics model
• In search for the social hysteresis -- the symmetrical threshold model with independence on Watts-Strogatz graphs
• Imperfect bifurcations in opinion dynamics under external fields
• Double transition in kinetic exchange opinion models with activation dynamics
• Qualitative aspects of the phase diagram of J1-J2 model on the cubic lattice
• Kinetic exchange opinion model: solution in the single parameter map limit
• Noise and disorder: phase transitions and universality in a model of opinion formation
• Opinion dynamics: Public and private
• Directed propaganda in the majority-rule model
• Social Network Heterogeneity Promotes Depolarization of Multidimensional Correlated Opinions
• Noisy kinetic-exchange opinion model with aging
• Non-equilibrium dynamics in a three state opinion formation model with stochastic extreme switches
• Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions
• Complete synchronization equivalence in asynchronous and delayed coupled maps
• Voter Model with Arbitrary Degree Dependence: Clout, Confidence and Irreversibility
• Opinion formation models with extreme switches and disorder: critical behaviour and dynamics
• From synchronous to one-time delayed dynamics in coupled maps