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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/38548
Acceder
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network_name_str CONICET Digital (CONICET)
spelling 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 Técnicas2025-10-22T11:33:17Zoai: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:34982025-10-22 11:33:17.784CONICET 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
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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