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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todo:paper_19326203_v10_n10_p_Balenzuela2023-10-03T16:34:31Z The undecided have the key: Interaction-driven opinion dynamics in a three state model Balenzuela, P. Pinasco, J.P. Semeshenko, V. comprehension conceptual framework consensus consensus development human human experiment model persuasive communication polarization steady state decision making group process human relation peer pressure psychological model Decision Making Group Processes Humans Interpersonal Relations Models, Psychological Peer Influence Persuasive Communication 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. © 2015 Balenzuela et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Fil:Balenzuela, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_19326203_v10_n10_p_Balenzuela |
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Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
comprehension conceptual framework consensus consensus development human human experiment model persuasive communication polarization steady state decision making group process human relation peer pressure psychological model Decision Making Group Processes Humans Interpersonal Relations Models, Psychological Peer Influence Persuasive Communication |
| spellingShingle |
comprehension conceptual framework consensus consensus development human human experiment model persuasive communication polarization steady state decision making group process human relation peer pressure psychological model Decision Making Group Processes Humans Interpersonal Relations Models, Psychological Peer Influence Persuasive Communication Balenzuela, P. Pinasco, J.P. Semeshenko, V. The undecided have the key: Interaction-driven opinion dynamics in a three state model |
| topic_facet |
comprehension conceptual framework consensus consensus development human human experiment model persuasive communication polarization steady state decision making group process human relation peer pressure psychological model Decision Making Group Processes Humans Interpersonal Relations Models, Psychological Peer Influence Persuasive Communication |
| 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. © 2015 Balenzuela et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
| format |
JOUR |
| author |
Balenzuela, P. Pinasco, J.P. Semeshenko, V. |
| author_facet |
Balenzuela, P. Pinasco, J.P. Semeshenko, V. |
| author_sort |
Balenzuela, P. |
| title |
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_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_sort |
undecided have the key: interaction-driven opinion dynamics in a three state model |
| url |
http://hdl.handle.net/20.500.12110/paper_19326203_v10_n10_p_Balenzuela |
| work_keys_str_mv |
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