Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.

In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties -friendships and enmities- evolve seeking for social balance, takin...

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Main Authors: Antonio Parravano, Ascensión Andina-Díaz, Miguel A Meléndez-Jiménez
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2016-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC5055330?pdf=render
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author Antonio Parravano
Ascensión Andina-Díaz
Miguel A Meléndez-Jiménez
author_facet Antonio Parravano
Ascensión Andina-Díaz
Miguel A Meléndez-Jiménez
author_sort Antonio Parravano
collection DOAJ
description In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties -friendships and enmities- evolve seeking for social balance, taking into account how similar agents' opinions are. We consider both the case where opinions have one and two dimensions. We find that our dynamics produces the segregation of agents into two cliques, with the opinions of agents in one clique differing from those in the other. Depending on the level of bounded confidence, the dynamics can produce either consensus of opinions within each clique or the coexistence of several opinion clusters in a clique. For the uni-dimensional case, the opinions in one clique are all below the opinions in the other clique, hence defining a "left clique" and a "right clique". In the two-dimensional case, our numerical results suggest that the two cliques are separated by a hyperplane in the opinion space. We also show that the phenomenon of unidimensional opinions identified by DeMarzo, Vayanos and Zwiebel (Q J Econ 2003) extends partially to our dynamics. Finally, in the context of politics, we comment about the possible relation of our results to the fragmentation of an ideology and the emergence of new political parties.
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spelling doaj.art-55f9e55497eb4b0a931e8fce9adf534b2022-12-21T23:19:07ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-011110e016432310.1371/journal.pone.0164323Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.Antonio ParravanoAscensión Andina-DíazMiguel A Meléndez-JiménezIn this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties -friendships and enmities- evolve seeking for social balance, taking into account how similar agents' opinions are. We consider both the case where opinions have one and two dimensions. We find that our dynamics produces the segregation of agents into two cliques, with the opinions of agents in one clique differing from those in the other. Depending on the level of bounded confidence, the dynamics can produce either consensus of opinions within each clique or the coexistence of several opinion clusters in a clique. For the uni-dimensional case, the opinions in one clique are all below the opinions in the other clique, hence defining a "left clique" and a "right clique". In the two-dimensional case, our numerical results suggest that the two cliques are separated by a hyperplane in the opinion space. We also show that the phenomenon of unidimensional opinions identified by DeMarzo, Vayanos and Zwiebel (Q J Econ 2003) extends partially to our dynamics. Finally, in the context of politics, we comment about the possible relation of our results to the fragmentation of an ideology and the emergence of new political parties.http://europepmc.org/articles/PMC5055330?pdf=render
spellingShingle Antonio Parravano
Ascensión Andina-Díaz
Miguel A Meléndez-Jiménez
Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
PLoS ONE
title Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
title_full Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
title_fullStr Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
title_full_unstemmed Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
title_short Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions.
title_sort bounded confidence under preferential flip a coupled dynamics of structural balance and opinions
url http://europepmc.org/articles/PMC5055330?pdf=render
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