Empirical social triad statistics can be explained with dyadic homophylic interactions.

Publisher: National Academy of Sciences Country of Publication: United States NLM ID: 7505876 Publication Model: Print Cited Medium: Internet ISSN: 1091-6490 (Electronic) Linking ISSN: 00278424 NLM ISO Abbreviation: Proc Natl Acad Sci U S A Subsets: MEDLINE

Original Publication: Washington, DC : National Academy of Sciences

Computer Simulation* ; Interpersonal Relations* ; Models, Theoretical* ; Social Networking*; Female ; Humans ; Male

The remarkable robustness of many social systems has been associated with a peculiar triangular structure in the underlying social networks. Triples of people that have three positive relations (e.g., friendship) between each other are strongly overrepresented. Triples with two negative relations (e.g., enmity) and one positive relation are also overrepresented, and triples with one or three negative relations are drastically suppressed. For almost a century, the mechanism behind these very specific ("balanced") triad statistics remained elusive. Here, we propose a simple realistic adaptive network model, where agents tend to minimize social tension that arises from dyadic interactions. Both opinions of agents and their signed links (positive or negative relations) are updated in the dynamics. The key aspect of the model resides in the fact that agents only need information about their local neighbors in the network and do not require (often unrealistic) higher-order network information for their relation and opinion updates. We demonstrate the quality of the model on detailed temporal relation data of a society of thousands of players of a massive multiplayer online game where we can observe triangle formation directly. It not only successfully predicts the distribution of triangle types but also explains empirical group size distributions, which are essential for social cohesion. We discuss the details of the phase diagrams behind the model and their parameter dependence, and we comment on to what extent the results might apply universally in societies.
Competing Interests: The authors declare no competing interest.
(Copyright © 2022 the Author(s). Published by PNAS.)

Phys Rev E. 2016 Apr;93:042306. (PMID: 27176311)
J Psychol. 1946 Jan;21:107-12. (PMID: 21010780)
Phys Rev E. 2019 Aug;100(2-1):022303. (PMID: 31574713)
Proc Natl Acad Sci U S A. 2011 Feb 1;108(5):1771-6. (PMID: 21199953)
Phys Rev E. 2019 Jun;99(6-1):062302. (PMID: 31330639)
Proc Natl Acad Sci U S A. 2021 Dec 14;118(50):. (PMID: 34876506)
Science. 2016 Oct 21;354(6310):321-326. (PMID: 27846564)
Psychol Rev. 2002 Jan;109(1):3-25. (PMID: 11863040)
Sci Rep. 2021 Mar 4;11(1):5134. (PMID: 33664333)
Sci Rep. 2019 Jul 5;9(1):9726. (PMID: 31278294)
Proc Natl Acad Sci U S A. 2011 Dec 27;108(52):20953-8. (PMID: 22167802)
Sci Rep. 2021 Aug 25;11(1):17188. (PMID: 34433848)
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 2):025102. (PMID: 11497639)
J R Soc Interface. 2020 Nov;17(172):20200752. (PMID: 33202174)
PLoS One. 2017 Aug 28;12(8):e0183696. (PMID: 28846726)
Nature. 1998 Jun 4;393(6684):440-2. (PMID: 9623998)
Nat Commun. 2021 Mar 29;12(1):1941. (PMID: 33782408)
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):036121. (PMID: 16241529)
Phys Rev Lett. 2020 Aug 14;125(7):078302. (PMID: 32857532)
PLoS One. 2017 Aug 30;12(8):e0183473. (PMID: 28854202)
Science. 2006 Jan 6;311(5757):88-90. (PMID: 16400149)
Nat Commun. 2019 Jun 14;10(1):2648. (PMID: 31201322)
Phys Rev Lett. 2016 May 20;116(20):208302. (PMID: 27258887)
PLoS One. 2016 Nov 3;11(11):e0165910. (PMID: 27812210)
Phys Rev E. 2019 Jan;99(1-1):012320. (PMID: 30780212)
Proc Natl Acad Sci U S A. 2010 Aug 3;107(31):13636-41. (PMID: 20643965)
Phys Rev E. 2021 Sep;104(3-1):034303. (PMID: 34654096)
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042802. (PMID: 25375544)
PLoS One. 2016 Oct 7;11(10):e0164323. (PMID: 27716815)
Netw Sci (Camb Univ Press). 2014 Aug;2(2):189-212. (PMID: 25525503)
Psychol Rev. 1956 Sep;63(5):277-93. (PMID: 13359597)
Phys Rev E. 2017 Feb;95(2-1):022314. (PMID: 28297881)
PLoS One. 2013 Apr 25;8(4):e60063. (PMID: 23634204)
Phys Rev Lett. 2009 Nov 6;103(19):198701. (PMID: 20365960)
Neuroimage. 2011 Jun 15;56(4):2068-79. (PMID: 21459148)
Phys Rev E. 2021 May;103(5-1):052302. (PMID: 34134332)
Phys Rev E. 2021 Aug;104(2-1):024307. (PMID: 34525606)

Keywords: signed networks; social balance; social stability

Date Created: 20220202 Date Completed: 20220307 Latest Revision: 20220307

20221213

PMC8833205

10.1073/pnas.2121103119

35105814