Fast Consensus and Metastability in a Highly Polarized Social Network

Fuente: arXiv
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Auteurs principaux: Galves, Antonio, Laxa, Kádmo
Format: Preprint
Publié: 2022
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author Galves, Antonio
Laxa, Kádmo
author_facet Galves, Antonio
Laxa, Kádmo
contents A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion. After expressing an opinion, the social pressure on the actor is reset to 0, waiting for the group's reaction. The orientation and the rate at which an actor expresses an opinion is influenced by the social pressure exerted on it, modulated by a polarization coefficient. We prove that the network reaches an instantaneous but metastable consensus, when the polarization coefficient diverges.
format Preprint
id arxiv_https___arxiv_org_abs_2202_12871
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Fast Consensus and Metastability in a Highly Polarized Social Network
Galves, Antonio
Laxa, Kádmo
Probability
A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion. After expressing an opinion, the social pressure on the actor is reset to 0, waiting for the group's reaction. The orientation and the rate at which an actor expresses an opinion is influenced by the social pressure exerted on it, modulated by a polarization coefficient. We prove that the network reaches an instantaneous but metastable consensus, when the polarization coefficient diverges.
title Fast Consensus and Metastability in a Highly Polarized Social Network
topic Probability
url https://arxiv.org/abs/2202.12871