Ghent University Academic Bibliography

Advanced

Statistical physics of balance theory

Andres M Belaza Vallejo UGent, Kevin Hoefman UGent, Jan Ryckebusch UGent, Aaron Bramson, Milan van den Heuvel UGent and Koen Schoors UGent (2017) PLOS ONE. 12(8).
abstract
Triadic relationships are accepted to play a key role in the dynamics of social and political networks. Building on insights gleaned from balance theory in social network studies and from Boltzmann-Gibbs statistical physics, we propose a model to quantitatively capture the dynamics of the four types of triadic relationships in a network. Central to our model are the triads’ incidence rates and the idea that those can be modeled by assigning a specific triadic energy to each type of triadic relation. We emphasize the role of the degeneracy of the different triads and how it impacts the degree of frustration in the political network. In order to account for a persistent form of disorder in the formation of the triadic relationships, we introduce the systemic variable temperature. In order to learn about the dynamics and motives, we propose a generic Hamiltonian with three terms to model the triadic energies. One term is connected with a three-body interaction that captures balance theory. The other terms take into account the impact of heterogeneity and of negative edges in the triads. The validity of our model is tested on four datasets including the time series of triadic relationships for the standings between two classes of alliances in a massively multiplayer online game (MMOG). We also analyze real-world data for the relationships between the “agents” involved in the Syrian civil war, and in the relations between countries during the Cold War era. We find emerging properties in the triadic relationships in a political network, for example reflecting itself in a persistent hierarchy between the four triadic energies, and in the consistency of the extracted parameters from comparing the model Hamiltonian to the data.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
International relations, Entropy, Political Networks, Statistical mechanics, Social Balance, Cold War, Civil War
journal title
PLOS ONE
PLoS One
volume
12
issue
8
article number
e0183696
pages
19 pages
Web of Science type
Article
Web of Science id
000408438600045
ISSN
1932-6203
DOI
10.1371/journal.pone.0183696
language
English
UGent publication?
yes
classification
A1
copyright statement
I have retained and own the full copyright for this publication
id
8530113
handle
http://hdl.handle.net/1854/LU-8530113
date created
2017-09-04 07:57:50
date last changed
2017-09-20 06:51:24
@article{8530113,
  abstract     = {Triadic relationships are accepted to play a key role in the dynamics of social and political networks. Building on insights gleaned from balance theory in social network studies and from Boltzmann-Gibbs statistical physics, we propose a model to quantitatively capture the dynamics of the four types of triadic relationships in a network. Central to our model are the triads{\textquoteright} incidence rates and the idea that those can be modeled by assigning a specific triadic energy to each type of triadic relation. We emphasize the role of the degeneracy of the different triads and how it impacts the degree of frustration in the political network. In order to account for a persistent form of disorder in the formation of the triadic relationships, we introduce the systemic variable temperature. In order to learn about the dynamics and motives, we propose a generic Hamiltonian with three terms to model the triadic energies. One term is connected with a three-body interaction that captures balance theory. The other terms take into account the impact of heterogeneity and of negative edges in the triads. The validity of our model is tested on four datasets including the time series of triadic relationships for the standings between two classes of alliances in a massively multiplayer online game (MMOG). We also analyze real-world data for the relationships between the {\textquotedblleft}agents{\textquotedblright} involved in the Syrian civil war, and in the relations between countries during the Cold War era. We find emerging properties in the triadic relationships in a political network, for example reflecting itself in a persistent hierarchy between the four triadic energies, and in the consistency of the extracted parameters from comparing the model Hamiltonian to the data.},
  articleno    = {e0183696},
  author       = {Belaza Vallejo, Andres M and Hoefman, Kevin and Ryckebusch, Jan and Bramson, Aaron and van den Heuvel, Milan and Schoors, Koen},
  issn         = {1932-6203 },
  journal      = {PLOS ONE},
  keyword      = {International relations,Entropy,Political Networks,Statistical mechanics,Social Balance,Cold War,Civil War},
  language     = {eng},
  number       = {8},
  pages        = {19},
  title        = {Statistical physics of balance theory},
  url          = {http://dx.doi.org/10.1371/journal.pone.0183696},
  volume       = {12},
  year         = {2017},
}

Chicago
Belaza Vallejo, Andres M, Kevin Hoefman, Jan Ryckebusch, Aaron Bramson, Milan van den Heuvel, and Koen Schoors. 2017. “Statistical Physics of Balance Theory.” Plos One 12 (8).
APA
Belaza Vallejo, Andres M, Hoefman, K., Ryckebusch, J., Bramson, A., van den Heuvel, M., & Schoors, K. (2017). Statistical physics of balance theory. PLOS ONE, 12(8).
Vancouver
1.
Belaza Vallejo AM, Hoefman K, Ryckebusch J, Bramson A, van den Heuvel M, Schoors K. Statistical physics of balance theory. PLOS ONE. 2017;12(8).
MLA
Belaza Vallejo, Andres M, Kevin Hoefman, Jan Ryckebusch, et al. “Statistical Physics of Balance Theory.” PLOS ONE 12.8 (2017): n. pag. Print.