Asymmetric coevolutionary voter dynamics

Abstract

We consider a modification of the adaptive contact process which, interpreted in the context of opinion dynamics, breaks the symmetry of the coevolutionary voter model by assigning to each node type a different strategy to promote consensus: orthodox opinion holders spread their opinion via social pressure and rewire their connections following a segregationist strategy; heterodox opinion holders adopt a proselytic strategy, converting their neighbors through personal interactions, and relax to the orthodox opinion according to its representation in the population. We give a full description of the phase diagram of this asymmetric model, using the standard pair approximation equations and assessing their performance by comparison with stochastic simulations. We find that although global consensus is favored with regard to the symmetric case, the asymmetric model also features an active phase. We study the stochastic properties of the corresponding metastable state in finite-size networks, discussing the applicability of the analytic approximations developed for the coevolutionary voter model. We find that, in contrast to the symmetric case, the final consensus state is predetermined by the system's parameters and independent of initial conditions for sufficiently large system sizes. We also find that rewiring always favors consensus, both by significantly reducing convergence times and by changing their scaling with system size.

Rewritten; 12 pages, 12 figures. For PRE version, labeling of Fig. 1(b), caption of Fig. 3(a) and several typos corrected

References in corpus (12)

• Adaptive Coevolutionary Networks: A Review
• Sociophysics: A review of Galam models
• Generic Absorbing Transition in Coevolution Dynamics
• Conservation laws for the voter model in complex networks
• Modeling complex systems with adaptive networks
• Analytical Solution of the Voter Model on Disordered Networks
• Who's talking first? Consensus or lack thereof in coevolving opinion formation models
• Normal form transforms separate slow and fast modes in stochastic dynamical systems
• Consensus time and conformity in the adaptive voter model
• Stochastic dynamics on slow manifolds
• Detecting and Describing Dynamic Equilibria in Adaptive Networks
• Moment-Closure Approximations for Discrete Adaptive Networks

Cited by in corpus (6)

• Multiple Tipping Points and Optimal Repairing in Interacting Networks
• Consensus and Polarisation in Competing Complex Contagion Processes
• Coupling of link- and node-ordering in the coevolving voter model
• Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
• Analytic description of adaptive network topologies in steady state
• Consensus from group interactions: An adaptive voter model on hypergraphs