Heterogenous mean-field analysis of a generalized voter-like model on networks

Abstract

We propose a generalized framework for the study of voter models in complex networks at the the heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing copy/invasion processes and (ii) allows for the introduction of further heterogeneity through degree-selectivity rules. In the context of the HMF approximation, our model is capable of providing straightforward estimates for central quantities such as the exit probability and the consensus/fixation time, based on the statistical properties of the complex network alone. The HMF approach has the advantage of being readily applicable also in those cases in which exact solutions are difficult to work out. Finally, the unified formalism allows one to understand previously proposed voter-like processes as simple limits of the generalized model.

References in corpus (11)

• Statistical physics of social dynamics
• Critical phenomena in complex networks
• Voter Models on Heterogeneous Networks
• High-accuracy approximation of binary-state dynamics on networks
• Stochastic Models of Evolution in Genetics, Ecology and Linguistics
• Analytical Solution of the Voter Model on Disordered Networks
• Fixation and consensus times on a network: a unified approach
• Effective surface-tension in the noise-reduced voter model
• Voter models on weighted networks
• Ordering in voter models on networks: Exact reduction to a single-coordinate diffusion
• Effects of mobility on ordering dynamics

Cited by in corpus (10)

• Localization and Spreading of Diseases in Complex Networks
• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Mean-field analysis of the q-voter model on networks
• Generalized Voter-like model on activity driven networks with attractiveness
• Mapping the $q$-voter model: From a single chain to complex networks
• Voter model on networks partitioned into two cliques of arbitrary sizes
• Fast fixation without fast networks
• Learning Interpretable Collective Variables for Spreading Processes on Networks
• When heterogeneity drives hysteresis: Anticonformity in the multistate $q$-voter model on networks
• Agent-based neutral competition in two-community networks