Stochastic Dynamics of the Multi-State Voter Model over a Network based on Interacting Cliques and Zealot Candidates

Abstract

The stochastic dynamics of the multi-state voter model is investigated on a class of complex networks made of non-overlapping cliques, each hosting a political candidate and interacting with the others via Erdős-Rényi links. Numerical simulations of the model are interpreted in terms of an ad-hoc mean field theory, specifically tuned to resolve the inter/intra-clique interactions. Under a proper definition of the thermodynamic limit (with the average degree of the agents kept fixed while increasing the network size), the model is found to display the empirical scaling discovered by Fortunato and Castellano (Phys Rev Lett 99(13):138701, 2007), while the vote distribution resembles roughly that observed in Brazilian elections.

31 pages, 8 figures. Revised text, results unchanged. Version accepted for publication in Journal of Statistical Physics

References in corpus (8)

• Does a Single Zealot Affect an Infinite Group of Voters ?
• On the Role of Zealotry in the Voter Model
• Scaling and universality in proportional elections
• Evolution of opinions on social networks in the presence of competing committed groups
• Accelerating consensus on co-evolving networks: the effect of committed individuals
• Ordering dynamics of the multi-state voter model
• Fragmentation transitions in multi-state voter models
• Commitment versus persuasion in the three-party constrained voter model

Cited by in corpus (8)

• Nonlinear $q$-voter model with inflexible zealots
• A Heterogeneous Out-of-Equilibrium Nonlinear $q$-Voter Model with Zealotry
• Modeling interactions between political parties and electors
• Competing opinions and stubbornness: connecting models to data
• Universal Scaling Laws in Metro Area Election Results
• Opinion Dynamics on Networks under Correlated Disordered External Perturbations
• Topological aspects of the multi-language phases of the Naming Game on community-based networks
• Use of Dirichlet Distributions and Orthogonal Projection Techniques for the Fluctuation Analysis of Steady-State Multivariate Birth-Death Systems