Interacting social processes on interconnected networks
- Autores
- Alvarez Zuzek, Lucila G.; La Rocca, Cristian E.; Vazquez, Federico; Braunstein, Lidia A.
- Año de publicación
- 2016
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = -2,-1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = -1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r∗(β), while a negative consensus happens for r < r∗(β). In the r - β phase space, the system displays a transition at a critical threshold βc, from a coexistence of both orientations for β < βc to a dominance of one orientation for β > βc. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r∗, β∗).
Facultad de Ciencias Exactas
Instituto de Física de Líquidos y Sistemas Biológicos - Materia
-
Ciencias Exactas
interconnected networks - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/85807
Ver los metadatos del registro completo
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Interacting social processes on interconnected networksAlvarez Zuzek, Lucila G.La Rocca, Cristian E.Vazquez, FedericoBraunstein, Lidia A.Ciencias Exactasinterconnected networksWe propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = -2,-1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = -1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r<SUP>∗</SUP>(β), while a negative consensus happens for r < r<SUP>∗</SUP>(β). In the r - β phase space, the system displays a transition at a critical threshold β<SUB>c</SUB>, from a coexistence of both orientations for β < β<SUB>c</SUB> to a dominance of one orientation for β > β<SUB>c</SUB>. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r<SUP>∗</SUP>, β<SUP>∗</SUP>).Facultad de Ciencias ExactasInstituto de Física de Líquidos y Sistemas Biológicos2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/85807enginfo:eu-repo/semantics/altIdentifier/issn/1932-6203info:eu-repo/semantics/altIdentifier/doi/10.1371/journal.pone.0163593info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2026-06-23T10:39:15Zoai:sedici.unlp.edu.ar:10915/85807Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292026-06-23 10:39:16.182SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Interacting social processes on interconnected networks |
| title |
Interacting social processes on interconnected networks |
| spellingShingle |
Interacting social processes on interconnected networks Alvarez Zuzek, Lucila G. Ciencias Exactas interconnected networks |
| title_short |
Interacting social processes on interconnected networks |
| title_full |
Interacting social processes on interconnected networks |
| title_fullStr |
Interacting social processes on interconnected networks |
| title_full_unstemmed |
Interacting social processes on interconnected networks |
| title_sort |
Interacting social processes on interconnected networks |
| dc.creator.none.fl_str_mv |
Alvarez Zuzek, Lucila G. La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. |
| author |
Alvarez Zuzek, Lucila G. |
| author_facet |
Alvarez Zuzek, Lucila G. La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. |
| author_role |
author |
| author2 |
La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas interconnected networks |
| topic |
Ciencias Exactas interconnected networks |
| dc.description.none.fl_txt_mv |
We propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = -2,-1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = -1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r<SUP>∗</SUP>(β), while a negative consensus happens for r < r<SUP>∗</SUP>(β). In the r - β phase space, the system displays a transition at a critical threshold β<SUB>c</SUB>, from a coexistence of both orientations for β < β<SUB>c</SUB> to a dominance of one orientation for β > β<SUB>c</SUB>. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r<SUP>∗</SUP>, β<SUP>∗</SUP>). Facultad de Ciencias Exactas Instituto de Física de Líquidos y Sistemas Biológicos |
| description |
We propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = -2,-1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = -1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r<SUP>∗</SUP>(β), while a negative consensus happens for r < r<SUP>∗</SUP>(β). In the r - β phase space, the system displays a transition at a critical threshold β<SUB>c</SUB>, from a coexistence of both orientations for β < β<SUB>c</SUB> to a dominance of one orientation for β > β<SUB>c</SUB>. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r<SUP>∗</SUP>, β<SUP>∗</SUP>). |
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2016 |
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2016 |
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