The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a given issue. This field, which has been a longstanding conc...

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Main Authors: Pablo Balenzuela, Juan Pablo Pinasco, Viktoriya Semeshenko
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4593537?pdf=render
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author Pablo Balenzuela
Juan Pablo Pinasco
Viktoriya Semeshenko
author_facet Pablo Balenzuela
Juan Pablo Pinasco
Viktoriya Semeshenko
author_sort Pablo Balenzuela
collection DOAJ
description The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a given issue. This field, which has been a longstanding concern of sociologists and psychologists, has been extended into an area of experimental social psychology, and even has attracted the attention of physicists and mathematicians. In this article, we present a novel model of opinion formation in which agents may either have a strict preference for a choice, or be undecided. The opinion shift emerges, in a threshold process, as a consequence of a cumulative persuasion for either one of the two opinions in repeated interactions. There are two main ingredients which play key roles in determining the steady states: the initial fraction of undecided agents and the change in agents' persuasion after each interaction. As a function of these two parameters, the model presents a wide range of solutions, among which there are consensus of each opinion and bi-polarization. We found that a minimum fraction of undecided agents is not crucial for reaching consensus only, but also to determine a dominant opinion in a polarized situation. In order to gain a deeper comprehension of the dynamics, we also present the theoretical framework of the model. The master equations are of special interest for their nontrivial properties and difficulties in being solved analytically.
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spelling doaj.art-7f130fb3e3dd4615bb9eb5db6ee75f762022-12-22T02:26:22ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-011010e013957210.1371/journal.pone.0139572The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.Pablo BalenzuelaJuan Pablo PinascoViktoriya SemeshenkoThe effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a given issue. This field, which has been a longstanding concern of sociologists and psychologists, has been extended into an area of experimental social psychology, and even has attracted the attention of physicists and mathematicians. In this article, we present a novel model of opinion formation in which agents may either have a strict preference for a choice, or be undecided. The opinion shift emerges, in a threshold process, as a consequence of a cumulative persuasion for either one of the two opinions in repeated interactions. There are two main ingredients which play key roles in determining the steady states: the initial fraction of undecided agents and the change in agents' persuasion after each interaction. As a function of these two parameters, the model presents a wide range of solutions, among which there are consensus of each opinion and bi-polarization. We found that a minimum fraction of undecided agents is not crucial for reaching consensus only, but also to determine a dominant opinion in a polarized situation. In order to gain a deeper comprehension of the dynamics, we also present the theoretical framework of the model. The master equations are of special interest for their nontrivial properties and difficulties in being solved analytically.http://europepmc.org/articles/PMC4593537?pdf=render
spellingShingle Pablo Balenzuela
Juan Pablo Pinasco
Viktoriya Semeshenko
The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
PLoS ONE
title The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
title_full The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
title_fullStr The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
title_full_unstemmed The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
title_short The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model.
title_sort undecided have the key interaction driven opinion dynamics in a three state model
url http://europepmc.org/articles/PMC4593537?pdf=render
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