Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance

Autores
Gimenez, Maria Cecilia; Reinaudi, Luis; Vazquez, Federico
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue—against or in favor—and interacts with its neighbors following either an imitation dynamics (voter behavior) or an anti-alignment dynamics (contrarian behavior): each agent adopts the opinion of a random neighbor with a time-dependent probability (Formula presented.), or takes the opposite opinion with probability (Formula presented.). The imitation probability (Formula presented.) is controlled by the social temperature T, and varies in time according to a periodic field that mimics the influence of an external propaganda, so that a voter is more prone to adopt an opinion aligned with the field. We simulate the model in complete graph and in lattices, and find that the system exhibits a rich variety of behaviors as T is varied: opinion consensus for (Formula presented.), a bimodal behavior for (Formula presented.), an oscillatory behavior where the mean opinion oscillates in time with the field for (Formula presented.), and full disorder for (Formula presented.). The transition temperature (Formula presented.) vanishes with the population size N as (Formula presented.) in complete graph. In addition, the distribution of residence times (Formula presented.) in the bimodal phase decays approximately as (Formula presented.). Within the oscillatory regime, we find a stochastic resonance-like phenomenon at a given temperature (Formula presented.). Furthermore, mean-field analytical results show that the opinion oscillations reach a maximum amplitude at an intermediate temperature, and that exhibit a lag with respect to the field that decreases with T.
Fil: Gimenez, Maria Cecilia. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Reinaudi, Luis. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Investigaciones en Físico-química de Córdoba. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas. Instituto de Investigaciones en Físico-química de Córdoba; Argentina
Fil: Vazquez, Federico. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
Materia
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
VOTER MODEL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/203480
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic ResonanceGimenez, Maria CeciliaReinaudi, LuisVazquez, FedericoNOISEOPINION DYNAMICSPERIODIC FIELDSTOCHASTIC RESONANCEVOTER MODELhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue—against or in favor—and interacts with its neighbors following either an imitation dynamics (voter behavior) or an anti-alignment dynamics (contrarian behavior): each agent adopts the opinion of a random neighbor with a time-dependent probability (Formula presented.), or takes the opposite opinion with probability (Formula presented.). The imitation probability (Formula presented.) is controlled by the social temperature T, and varies in time according to a periodic field that mimics the influence of an external propaganda, so that a voter is more prone to adopt an opinion aligned with the field. We simulate the model in complete graph and in lattices, and find that the system exhibits a rich variety of behaviors as T is varied: opinion consensus for (Formula presented.), a bimodal behavior for (Formula presented.), an oscillatory behavior where the mean opinion oscillates in time with the field for (Formula presented.), and full disorder for (Formula presented.). The transition temperature (Formula presented.) vanishes with the population size N as (Formula presented.) in complete graph. In addition, the distribution of residence times (Formula presented.) in the bimodal phase decays approximately as (Formula presented.). Within the oscillatory regime, we find a stochastic resonance-like phenomenon at a given temperature (Formula presented.). Furthermore, mean-field analytical results show that the opinion oscillations reach a maximum amplitude at an intermediate temperature, and that exhibit a lag with respect to the field that decreases with T.Fil: Gimenez, Maria Cecilia. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Reinaudi, Luis. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Investigaciones en Físico-química de Córdoba. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas. Instituto de Investigaciones en Físico-química de Córdoba; ArgentinaFil: Vazquez, Federico. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; ArgentinaMolecular Diversity Preservation International2022-08-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/203480Gimenez, Maria Cecilia; Reinaudi, Luis; Vazquez, Federico; Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance; Molecular Diversity Preservation International; Entropy; 24; 8; 17-8-2022; 1-171099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/24/8/1140info:eu-repo/semantics/altIdentifier/doi/10.3390/e24081140info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:57Zoai:ri.conicet.gov.ar:11336/203480instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:46:58.108CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
title Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
spellingShingle Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
Gimenez, Maria Cecilia
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
VOTER MODEL
title_short Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
title_full Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
title_fullStr Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
title_full_unstemmed Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
title_sort Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance
dc.creator.none.fl_str_mv Gimenez, Maria Cecilia
Reinaudi, Luis
Vazquez, Federico
author Gimenez, Maria Cecilia
author_facet Gimenez, Maria Cecilia
Reinaudi, Luis
Vazquez, Federico
author_role author
author2 Reinaudi, Luis
Vazquez, Federico
author2_role author
author
dc.subject.none.fl_str_mv NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
VOTER MODEL
topic NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
VOTER MODEL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue—against or in favor—and interacts with its neighbors following either an imitation dynamics (voter behavior) or an anti-alignment dynamics (contrarian behavior): each agent adopts the opinion of a random neighbor with a time-dependent probability (Formula presented.), or takes the opposite opinion with probability (Formula presented.). The imitation probability (Formula presented.) is controlled by the social temperature T, and varies in time according to a periodic field that mimics the influence of an external propaganda, so that a voter is more prone to adopt an opinion aligned with the field. We simulate the model in complete graph and in lattices, and find that the system exhibits a rich variety of behaviors as T is varied: opinion consensus for (Formula presented.), a bimodal behavior for (Formula presented.), an oscillatory behavior where the mean opinion oscillates in time with the field for (Formula presented.), and full disorder for (Formula presented.). The transition temperature (Formula presented.) vanishes with the population size N as (Formula presented.) in complete graph. In addition, the distribution of residence times (Formula presented.) in the bimodal phase decays approximately as (Formula presented.). Within the oscillatory regime, we find a stochastic resonance-like phenomenon at a given temperature (Formula presented.). Furthermore, mean-field analytical results show that the opinion oscillations reach a maximum amplitude at an intermediate temperature, and that exhibit a lag with respect to the field that decreases with T.
Fil: Gimenez, Maria Cecilia. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Reinaudi, Luis. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Investigaciones en Físico-química de Córdoba. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas. Instituto de Investigaciones en Físico-química de Córdoba; Argentina
Fil: Vazquez, Federico. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
description We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue—against or in favor—and interacts with its neighbors following either an imitation dynamics (voter behavior) or an anti-alignment dynamics (contrarian behavior): each agent adopts the opinion of a random neighbor with a time-dependent probability (Formula presented.), or takes the opposite opinion with probability (Formula presented.). The imitation probability (Formula presented.) is controlled by the social temperature T, and varies in time according to a periodic field that mimics the influence of an external propaganda, so that a voter is more prone to adopt an opinion aligned with the field. We simulate the model in complete graph and in lattices, and find that the system exhibits a rich variety of behaviors as T is varied: opinion consensus for (Formula presented.), a bimodal behavior for (Formula presented.), an oscillatory behavior where the mean opinion oscillates in time with the field for (Formula presented.), and full disorder for (Formula presented.). The transition temperature (Formula presented.) vanishes with the population size N as (Formula presented.) in complete graph. In addition, the distribution of residence times (Formula presented.) in the bimodal phase decays approximately as (Formula presented.). Within the oscillatory regime, we find a stochastic resonance-like phenomenon at a given temperature (Formula presented.). Furthermore, mean-field analytical results show that the opinion oscillations reach a maximum amplitude at an intermediate temperature, and that exhibit a lag with respect to the field that decreases with T.
publishDate 2022
dc.date.none.fl_str_mv 2022-08-17
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/203480
Gimenez, Maria Cecilia; Reinaudi, Luis; Vazquez, Federico; Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance; Molecular Diversity Preservation International; Entropy; 24; 8; 17-8-2022; 1-17
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/203480
identifier_str_mv Gimenez, Maria Cecilia; Reinaudi, Luis; Vazquez, Federico; Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance; Molecular Diversity Preservation International; Entropy; 24; 8; 17-8-2022; 1-17
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/24/8/1140
info:eu-repo/semantics/altIdentifier/doi/10.3390/e24081140
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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