Limiting behavior for a general class of voter models with confidence threshold
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Publication:2964178
zbMath1358.60103arXiv1412.4142MaRDI QIDQ2964178
Stylianos Scarlatos, Nicolas. Lanchier
Publication date: 23 February 2017
Full work available at URL: https://arxiv.org/abs/1412.4142
distance-regular graphsinteracting particle systemsfluctuationvoter modelsopinion dynamicsfixationannihilating random walksconfidence threshold
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (5)
Consensus in the Hegselmann-Krause model ⋮ Probability of consensus in spatial opinion models with confidence threshold ⋮ Stochastic spatial model for the division of labor in social insects ⋮ Clustering in the three and four color cyclic particle systems in one dimension ⋮ Probability of consensus in the multivariate Deffuant model on finite connected graphs
Cites Work
- Fixation in the one-dimensional Axelrod model
- The Axelrod model for the dissemination of culture revisited
- Consensus in the two-state Axelrod model
- Fixation results for the two-feature Axelrod model with a variable number of opinions
- Site recurrence for annihilating random walks on \(Z^ n\).
- Flux and fixation in cyclic particle systems
- Ergodic theorems for weakly interacting infinite systems and the voter model
- Nearest-neighbor Markov interaction processes on multidimensional lattices
- Clustering and coexistence in the one-dimensional vectorial Deffuant model
- Explicit sufficient invariants for an interacting particle system
- Constrained opinion dynamics: freezing and slow evolution
- A model for spatial conflict
- Probability Inequalities for Sums of Bounded Random Variables
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