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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/221241
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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 Técnicas2025-09-29T09:56:29Zoai: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:34982025-09-29 09:56:29.342CONICET 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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1844613696200900608 |
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13.070432 |