Structural Balance of Opinions

The concept of Heider balance, usually applied to interpersonal relations, is generalized here to opinions gathered in surveys. At first, we compare four algorithms, which drive a matrix dataset to a balanced state. The criterion is that the final state obtained with an algorithm should be as close...

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Main Authors:	Malgorzata J. Krawczyk, Krzysztof Kułakowski
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	Heider balance nonlinear dynamics American states comfort hypothesis Science Q Astrophysics QB460-466 Physics QC1-999
Online Access:	https://doaj.org/article/45887e8f58524bf0bdd862178d4e0f11
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id	oai:doaj.org-article:45887e8f58524bf0bdd862178d4e0f11
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spelling	oai:doaj.org-article:45887e8f58524bf0bdd862178d4e0f112021-11-25T17:29:30ZStructural Balance of Opinions10.3390/e231114181099-4300https://doaj.org/article/45887e8f58524bf0bdd862178d4e0f112021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1418https://doaj.org/toc/1099-4300The concept of Heider balance, usually applied to interpersonal relations, is generalized here to opinions gathered in surveys. At first, we compare four algorithms, which drive a matrix dataset to a balanced state. The criterion is that the final state obtained with an algorithm should be as close as possible to the initial state. The result is that deterministic differential equations work better than their Monte Carlo counterparts. Next, we apply the winning algorithms to the matrix of correlations between opinions gathered in American states between 1974 and 1998. The results are interpreted in terms of the classic comfort hypothesis (E. Babbie, 2007).Malgorzata J. KrawczykKrzysztof KułakowskiMDPI AGarticleHeider balancenonlinear dynamicsAmerican statescomfort hypothesisScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1418, p 1418 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Heider balance nonlinear dynamics American states comfort hypothesis Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	Heider balance nonlinear dynamics American states comfort hypothesis Science Q Astrophysics QB460-466 Physics QC1-999 Malgorzata J. Krawczyk Krzysztof Kułakowski Structural Balance of Opinions
description	The concept of Heider balance, usually applied to interpersonal relations, is generalized here to opinions gathered in surveys. At first, we compare four algorithms, which drive a matrix dataset to a balanced state. The criterion is that the final state obtained with an algorithm should be as close as possible to the initial state. The result is that deterministic differential equations work better than their Monte Carlo counterparts. Next, we apply the winning algorithms to the matrix of correlations between opinions gathered in American states between 1974 and 1998. The results are interpreted in terms of the classic comfort hypothesis (E. Babbie, 2007).
format	article
author	Malgorzata J. Krawczyk Krzysztof Kułakowski
author_facet	Malgorzata J. Krawczyk Krzysztof Kułakowski
author_sort	Malgorzata J. Krawczyk
title	Structural Balance of Opinions
title_short	Structural Balance of Opinions
title_full	Structural Balance of Opinions
title_fullStr	Structural Balance of Opinions
title_full_unstemmed	Structural Balance of Opinions
title_sort	structural balance of opinions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/45887e8f58524bf0bdd862178d4e0f11
work_keys_str_mv	AT malgorzatajkrawczyk structuralbalanceofopinions AT krzysztofkułakowski structuralbalanceofopinions
_version_	1718412281603162112

Structural Balance of Opinions

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