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Multiscale voter model on real networks

Elisenda Ortiz and M. Ángeles Serrano

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: We introduce the Multiscale Voter Model (MVM) to investigate clan influence at multiple scales—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.

Keywords: Hyperbolic network geometry; Opinion dynamics; Multiscale processes on networks; Voter Model; Clan and group influence; Consensus; Opinion polarization; Geometric patterns on networks (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010268

DOI: 10.1016/j.chaos.2022.112847

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