Consensus time and conformity in the adaptive voter model

Abstract

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for consensus to emerge. Our results shed light on the rich phenomenology of both the original and extended adaptive voter models, including a dynamical phase transition in the scaling behavior of the mean time to consensus.

17 pages, 5 figures

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• Opinion Formation under Antagonistic Influences
• Exploring the adaptive voter model dynamics with a mathematical triple jump
• Opinion percolation in structured population
• Polarization and Consensus by Opposing External Sources
• Bias, Belief and Consensus: Collective opinion formation on fluctuating networks
• Stationary solutions for metapopulation Moran models with mutation and selection
• Asymmetric coevolutionary voter dynamics
• Solution of the Voter Model by Spectral Analysis
• The statistics of fixation times for systems with recruitment
• Local Symmetry and Global Structure in Adaptive Voter Models
• Macroscopic approximation methods for the analysis of adaptive networked agent-based models: The example of a two-sector investment model
• Reputation-Driven Voting Dynamics
• A Nonlinear Transform for the Diagonalization of the Bernoulli-Laplace Diffusion Model and Orthogonal Polynomials