Emergence of polarization in a voter model with personalized information

The flourishing of fake news is supported by recommendation algorithms of online social networks, which, based on previous user activity, provide content adapted to their preferences and so create filter bubbles. We introduce an analytically tractable voter model with personalized information, in wh...

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Main Authors: Giordano De Marzo, Andrea Zaccaria, Claudio Castellano
Format: Article
Language:English
Published: American Physical Society 2020-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043117
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author Giordano De Marzo
Andrea Zaccaria
Claudio Castellano
author_facet Giordano De Marzo
Andrea Zaccaria
Claudio Castellano
author_sort Giordano De Marzo
collection DOAJ
description The flourishing of fake news is supported by recommendation algorithms of online social networks, which, based on previous user activity, provide content adapted to their preferences and so create filter bubbles. We introduce an analytically tractable voter model with personalized information, in which an external field tends to align the agent's opinion with the one she held more frequently in the past. Our model shows a surprisingly rich dynamics despite its simplicity. An analytical mean-field approach, confirmed by numerical simulations, allows us to build a phase diagram and to predict if and how consensus is reached. Remarkably, polarization can be avoided only for weak interaction with personalized information and if the number of agents is below a threshold. We compute analytically this critical size, which depends on the interaction probability in a strongly nonlinear way.
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spelling doaj.art-c508473f633f41099856f6ec2851d7c72024-04-12T17:02:49ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404311710.1103/PhysRevResearch.2.043117Emergence of polarization in a voter model with personalized informationGiordano De MarzoAndrea ZaccariaClaudio CastellanoThe flourishing of fake news is supported by recommendation algorithms of online social networks, which, based on previous user activity, provide content adapted to their preferences and so create filter bubbles. We introduce an analytically tractable voter model with personalized information, in which an external field tends to align the agent's opinion with the one she held more frequently in the past. Our model shows a surprisingly rich dynamics despite its simplicity. An analytical mean-field approach, confirmed by numerical simulations, allows us to build a phase diagram and to predict if and how consensus is reached. Remarkably, polarization can be avoided only for weak interaction with personalized information and if the number of agents is below a threshold. We compute analytically this critical size, which depends on the interaction probability in a strongly nonlinear way.http://doi.org/10.1103/PhysRevResearch.2.043117
spellingShingle Giordano De Marzo
Andrea Zaccaria
Claudio Castellano
Emergence of polarization in a voter model with personalized information
Physical Review Research
title Emergence of polarization in a voter model with personalized information
title_full Emergence of polarization in a voter model with personalized information
title_fullStr Emergence of polarization in a voter model with personalized information
title_full_unstemmed Emergence of polarization in a voter model with personalized information
title_short Emergence of polarization in a voter model with personalized information
title_sort emergence of polarization in a voter model with personalized information
url http://doi.org/10.1103/PhysRevResearch.2.043117
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AT andreazaccaria emergenceofpolarizationinavotermodelwithpersonalizedinformation
AT claudiocastellano emergenceofpolarizationinavotermodelwithpersonalizedinformation