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Balance and fragmentation in societies with homophily and social balance.


ABSTRACT: 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.

SUBMITTER: Pham TM 

PROVIDER: S-EPMC8387482 | biostudies-literature | 2021 Aug

REPOSITORIES: biostudies-literature

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Balance and fragmentation in societies with homophily and social balance.

Pham Tuan M TM   Alexander Andrew C AC   Korbel Jan J   Hanel Rudolf R   Thurner Stefan S  

Scientific reports 20210825 1


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 m  ...[more]

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