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Balance and fragmentation in societies with homophily and social balance

Recent attempts to understand the origin of social fragmentation on the basis of spin models include terms accounting for two social phenomena: homophily—the tendency for people with similar opinions to establish positive relations—and social balance—the tendency for people to establish balanced tri...

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Autores principales: Pham, Tuan M., Alexander, Andrew C., Korbel, Jan, Hanel, Rudolf, Thurner, Stefan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8387482/
https://www.ncbi.nlm.nih.gov/pubmed/34433848
http://dx.doi.org/10.1038/s41598-021-96065-5
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author Pham, Tuan M.
Alexander, Andrew C.
Korbel, Jan
Hanel, Rudolf
Thurner, Stefan
author_facet Pham, Tuan M.
Alexander, Andrew C.
Korbel, Jan
Hanel, Rudolf
Thurner, Stefan
author_sort Pham, Tuan M.
collection PubMed
description Recent attempts to understand the origin of social fragmentation on the basis of spin models include terms accounting for two social phenomena: homophily—the tendency for people with similar opinions to establish positive relations—and social balance—the tendency for people to establish balanced triadic relations. Spins represent attribute vectors that encode G different opinions of individuals whose social interactions can be positive or negative. Here we present a co-evolutionary Hamiltonian model of societies where people minimise their individual social stresses. We show that societies always reach stationary, balanced, and fragmented states, if—in addition to homophily—individuals take into account a significant fraction, q, of their triadic relations. Above a critical value, [Formula: see text] , balanced and fragmented states exist for any number of opinions.
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spelling pubmed-83874822021-09-01 Balance and fragmentation in societies with homophily and social balance Pham, Tuan M. Alexander, Andrew C. Korbel, Jan Hanel, Rudolf Thurner, Stefan Sci Rep Article Recent attempts to understand the origin of social fragmentation on the basis of spin models include terms accounting for two social phenomena: homophily—the tendency for people with similar opinions to establish positive relations—and social balance—the tendency for people to establish balanced triadic relations. Spins represent attribute vectors that encode G different opinions of individuals whose social interactions can be positive or negative. Here we present a co-evolutionary Hamiltonian model of societies where people minimise their individual social stresses. We show that societies always reach stationary, balanced, and fragmented states, if—in addition to homophily—individuals take into account a significant fraction, q, of their triadic relations. Above a critical value, [Formula: see text] , balanced and fragmented states exist for any number of opinions. Nature Publishing Group UK 2021-08-25 /pmc/articles/PMC8387482/ /pubmed/34433848 http://dx.doi.org/10.1038/s41598-021-96065-5 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Pham, Tuan M.
Alexander, Andrew C.
Korbel, Jan
Hanel, Rudolf
Thurner, Stefan
Balance and fragmentation in societies with homophily and social balance
title Balance and fragmentation in societies with homophily and social balance
title_full Balance and fragmentation in societies with homophily and social balance
title_fullStr Balance and fragmentation in societies with homophily and social balance
title_full_unstemmed Balance and fragmentation in societies with homophily and social balance
title_short Balance and fragmentation in societies with homophily and social balance
title_sort balance and fragmentation in societies with homophily and social balance
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8387482/
https://www.ncbi.nlm.nih.gov/pubmed/34433848
http://dx.doi.org/10.1038/s41598-021-96065-5
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