Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias

Autores
Gimenez, Maria Cecilia; Reinaudi, Luis; Galam, Serge; Vazquez, Federico
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability (Formula presented.) (majority behavior) or the opposite opinion with probability (Formula presented.) (contrarian behavior). The probability of following the majority rule (Formula presented.) varies with the temperature T and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as T is varied. A transition temperature (Formula presented.) separates a bimodal oscillatory regime for (Formula presented.), where the population’s mean opinion m oscillates around a positive or a negative value from a unimodal oscillatory regime for (Formula presented.) in which m oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature (Formula presented.), where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that (Formula presented.) and (Formula presented.) are closely related.
Fil: Gimenez, Maria Cecilia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reinaudi, Luis. 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. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; Argentina
Fil: Galam, Serge. Centre National de la Recherche Scientifique; Francia
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
MAJORITY RULE MODEL
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
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:11336/221241
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/221241
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Contrarian Majority Rule Model with External Oscillating Propaganda and Individual InertiasGimenez, Maria CeciliaReinaudi, LuisGalam, SergeVazquez, FedericoMAJORITY RULE MODELNOISEOPINION DYNAMICSPERIODIC FIELDSTOCHASTIC RESONANCEhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability (Formula presented.) (majority behavior) or the opposite opinion with probability (Formula presented.) (contrarian behavior). The probability of following the majority rule (Formula presented.) varies with the temperature T and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as T is varied. A transition temperature (Formula presented.) separates a bimodal oscillatory regime for (Formula presented.), where the population’s mean opinion m oscillates around a positive or a negative value from a unimodal oscillatory regime for (Formula presented.) in which m oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature (Formula presented.), where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that (Formula presented.) and (Formula presented.) are closely related.Fil: Gimenez, Maria Cecilia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Reinaudi, Luis. 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. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; ArgentinaFil: Galam, Serge. Centre National de la Recherche Scientifique; FranciaFil: 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 International2023-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/221241Gimenez, Maria Cecilia; Reinaudi, Luis; Galam, Serge; Vazquez, Federico; Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias; Molecular Diversity Preservation International; Entropy; 25; 10; 9-2023; 1-131099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e25101402info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:25:40Zoai:ri.conicet.gov.ar:11336/221241instacron: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:34982025-10-22 11:25:40.55CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
title Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
spellingShingle Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
Gimenez, Maria Cecilia
MAJORITY RULE MODEL
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
title_short Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
title_full Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
title_fullStr Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
title_full_unstemmed Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
title_sort Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias
dc.creator.none.fl_str_mv Gimenez, Maria Cecilia
Reinaudi, Luis
Galam, Serge
Vazquez, Federico
author Gimenez, Maria Cecilia
author_facet Gimenez, Maria Cecilia
Reinaudi, Luis
Galam, Serge
Vazquez, Federico
author_role author
author2 Reinaudi, Luis
Galam, Serge
Vazquez, Federico
author2_role author
author
author
dc.subject.none.fl_str_mv MAJORITY RULE MODEL
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
topic MAJORITY RULE MODEL
NOISE
OPINION DYNAMICS
PERIODIC FIELD
STOCHASTIC RESONANCE
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 Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability (Formula presented.) (majority behavior) or the opposite opinion with probability (Formula presented.) (contrarian behavior). The probability of following the majority rule (Formula presented.) varies with the temperature T and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as T is varied. A transition temperature (Formula presented.) separates a bimodal oscillatory regime for (Formula presented.), where the population’s mean opinion m oscillates around a positive or a negative value from a unimodal oscillatory regime for (Formula presented.) in which m oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature (Formula presented.), where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that (Formula presented.) and (Formula presented.) are closely related.
Fil: Gimenez, Maria Cecilia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reinaudi, Luis. 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. Universidad Nacional de Córdoba. Facultad de Cs.químicas. Departamento de Química Teórica y Computacional; Argentina
Fil: Galam, Serge. Centre National de la Recherche Scientifique; Francia
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 Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability (Formula presented.) (majority behavior) or the opposite opinion with probability (Formula presented.) (contrarian behavior). The probability of following the majority rule (Formula presented.) varies with the temperature T and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as T is varied. A transition temperature (Formula presented.) separates a bimodal oscillatory regime for (Formula presented.), where the population’s mean opinion m oscillates around a positive or a negative value from a unimodal oscillatory regime for (Formula presented.) in which m oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature (Formula presented.), where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that (Formula presented.) and (Formula presented.) are closely related.
publishDate 2023
dc.date.none.fl_str_mv 2023-09
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/11336/221241
Gimenez, Maria Cecilia; Reinaudi, Luis; Galam, Serge; Vazquez, Federico; Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias; Molecular Diversity Preservation International; Entropy; 25; 10; 9-2023; 1-13
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/221241
identifier_str_mv Gimenez, Maria Cecilia; Reinaudi, Luis; Galam, Serge; Vazquez, Federico; Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias; Molecular Diversity Preservation International; Entropy; 25; 10; 9-2023; 1-13
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/doi/10.3390/e25101402
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
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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score 12.982451

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