Multiscale Voter Model on Real Networks
arXiv:2107.06656 · doi:10.1016/j.chaos.2022.112847
Abstract
We introduce the Multiscale Voter Model (MVM) to investigate clan influence at multiple scale -- family, neighborhood, political party... -- in opinion formation on real complex networks. Clans, consisting of similar nodes, are constructed using a coarse-graining procedure on network embeddings that allows us to control for the length scale of interactions. We ran numerical simulations to monitor the evolution of MVM dynamics in real and synthetic networks, and identified a transition between a final stage of full consensus and one with mixed binary opinions. The transition depends on the scale of the clans and on the strength of their influence. We found that enhancing group diversity promotes consensus while strong kinship yields to metastable clusters of same opinion. The segregated domains, which signal opinion polarization, are discernible as spatial patterns in the hyperbolic embeddings of the networks. Our multiscale framework can be easily applied to other dynamical processes affected by scale and group influence.
arXiv comment3 Figures. Requires Supplemental
References in corpus (13)
- Statistical physics of social dynamics
- Modeling echo chambers and polarization dynamics in social networks
- Voter Models on Heterogeneous Networks
- Self-similarity of complex networks and hidden metric spaces
- Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution
- The non-linear q-voter model
- Incomplete ordering of the voter model on small-world networks
- Reality Inspired Voter Models: A Mini-Review
- Multiscale unfolding of real networks by geometric renormalization
- Solution of voter model dynamics on annealed small-world networks
- Aggression heuristics underlie animal dominance hierarchies and provide evidence of group-level social information
- Irreducibility of multilayer network dynamics: the case of the voter model
- Look Who's Talking: Bipartite Networks as Representations of a Topic Model of New Zealand Parliamentary Speeches