Optimal recruitment strategies for groups of interacting walkers with leaders
- Autores
- Martínez García, Ricardo; López, Cristóbal; Vazquez, Federico
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We introduce a model of interacting random walkers on a finite one-dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target and diffusing uninformed particles that are biased towards close informed individuals. This model mimics the dynamics of hierarchical groups of animals, where an informed individual tries to persuade and lead the movement of its conspecifics. We characterize the success of this persuasion by the first-passage probability of the uninformed particle to the target, and we interpret the speed of the informed particle as a strategic parameter that the particle can tune to maximize its success. We find that the success probability is nonmonotonic, reaching its maximum at an intermediate speed whose value increases with the diffusing rate of the uninformed particle. When two different groups of informed leaders traveling in opposite directions compete, usually the largest group is the most successful. However, the minority can reverse this situation and become the most probable winner by following two different strategies: increasing its attraction strength or adjusting its speed to an optimal value relative to the majority's speed.
Fil: Martínez García, Ricardo. Instituto de Física Interdisciplinar y Sistemas Complejos; España
Fil: López, Cristóbal. Instituto de Física Interdisciplinar y Sistemas Complejos; España. University of Princeton; Estados Unidos
Fil: Vazquez, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina - Materia
-
Interacting Random Walkers
One-Dimensional Chain
First-Passage Probability
Optimal Recruitment Strategy - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/38548
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Optimal recruitment strategies for groups of interacting walkers with leadersMartínez García, RicardoLópez, CristóbalVazquez, FedericoInteracting Random WalkersOne-Dimensional ChainFirst-Passage ProbabilityOptimal Recruitment Strategyhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We introduce a model of interacting random walkers on a finite one-dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target and diffusing uninformed particles that are biased towards close informed individuals. This model mimics the dynamics of hierarchical groups of animals, where an informed individual tries to persuade and lead the movement of its conspecifics. We characterize the success of this persuasion by the first-passage probability of the uninformed particle to the target, and we interpret the speed of the informed particle as a strategic parameter that the particle can tune to maximize its success. We find that the success probability is nonmonotonic, reaching its maximum at an intermediate speed whose value increases with the diffusing rate of the uninformed particle. When two different groups of informed leaders traveling in opposite directions compete, usually the largest group is the most successful. However, the minority can reverse this situation and become the most probable winner by following two different strategies: increasing its attraction strength or adjusting its speed to an optimal value relative to the majority's speed.Fil: Martínez García, Ricardo. Instituto de Física Interdisciplinar y Sistemas Complejos; EspañaFil: López, Cristóbal. Instituto de Física Interdisciplinar y Sistemas Complejos; España. University of Princeton; Estados UnidosFil: Vazquez, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaAmerican Physical Society2015-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38548Martínez García, Ricardo; López, Cristóbal; Vazquez, Federico; Optimal recruitment strategies for groups of interacting walkers with leaders; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 91; 2; 2-2015; 1-13; 0221171539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.91.022117info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.022117info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:03:30Zoai:ri.conicet.gov.ar:11336/38548instacron: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 10:03:30.334CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Optimal recruitment strategies for groups of interacting walkers with leaders |
title |
Optimal recruitment strategies for groups of interacting walkers with leaders |
spellingShingle |
Optimal recruitment strategies for groups of interacting walkers with leaders Martínez García, Ricardo Interacting Random Walkers One-Dimensional Chain First-Passage Probability Optimal Recruitment Strategy |
title_short |
Optimal recruitment strategies for groups of interacting walkers with leaders |
title_full |
Optimal recruitment strategies for groups of interacting walkers with leaders |
title_fullStr |
Optimal recruitment strategies for groups of interacting walkers with leaders |
title_full_unstemmed |
Optimal recruitment strategies for groups of interacting walkers with leaders |
title_sort |
Optimal recruitment strategies for groups of interacting walkers with leaders |
dc.creator.none.fl_str_mv |
Martínez García, Ricardo López, Cristóbal Vazquez, Federico |
author |
Martínez García, Ricardo |
author_facet |
Martínez García, Ricardo López, Cristóbal Vazquez, Federico |
author_role |
author |
author2 |
López, Cristóbal Vazquez, Federico |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Interacting Random Walkers One-Dimensional Chain First-Passage Probability Optimal Recruitment Strategy |
topic |
Interacting Random Walkers One-Dimensional Chain First-Passage Probability Optimal Recruitment Strategy |
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 introduce a model of interacting random walkers on a finite one-dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target and diffusing uninformed particles that are biased towards close informed individuals. This model mimics the dynamics of hierarchical groups of animals, where an informed individual tries to persuade and lead the movement of its conspecifics. We characterize the success of this persuasion by the first-passage probability of the uninformed particle to the target, and we interpret the speed of the informed particle as a strategic parameter that the particle can tune to maximize its success. We find that the success probability is nonmonotonic, reaching its maximum at an intermediate speed whose value increases with the diffusing rate of the uninformed particle. When two different groups of informed leaders traveling in opposite directions compete, usually the largest group is the most successful. However, the minority can reverse this situation and become the most probable winner by following two different strategies: increasing its attraction strength or adjusting its speed to an optimal value relative to the majority's speed. Fil: Martínez García, Ricardo. Instituto de Física Interdisciplinar y Sistemas Complejos; España Fil: López, Cristóbal. Instituto de Física Interdisciplinar y Sistemas Complejos; España. University of Princeton; Estados Unidos Fil: Vazquez, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina |
description |
We introduce a model of interacting random walkers on a finite one-dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target and diffusing uninformed particles that are biased towards close informed individuals. This model mimics the dynamics of hierarchical groups of animals, where an informed individual tries to persuade and lead the movement of its conspecifics. We characterize the success of this persuasion by the first-passage probability of the uninformed particle to the target, and we interpret the speed of the informed particle as a strategic parameter that the particle can tune to maximize its success. We find that the success probability is nonmonotonic, reaching its maximum at an intermediate speed whose value increases with the diffusing rate of the uninformed particle. When two different groups of informed leaders traveling in opposite directions compete, usually the largest group is the most successful. However, the minority can reverse this situation and become the most probable winner by following two different strategies: increasing its attraction strength or adjusting its speed to an optimal value relative to the majority's speed. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-02 |
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/11336/38548 Martínez García, Ricardo; López, Cristóbal; Vazquez, Federico; Optimal recruitment strategies for groups of interacting walkers with leaders; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 91; 2; 2-2015; 1-13; 022117 1539-3755 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/38548 |
identifier_str_mv |
Martínez García, Ricardo; López, Cristóbal; Vazquez, Federico; Optimal recruitment strategies for groups of interacting walkers with leaders; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 91; 2; 2-2015; 1-13; 022117 1539-3755 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.91.022117 info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.022117 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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