Resource concentration and clustering in replicator dynamics with stochastic reset events
- Autores
- Gómez Garay, Ignacio T.; Zanette, Damian Horacio
- Año de publicación
- 2023
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes. Random reset events abruptly lead individual resources to a small value from which dynamics must start anew. Numerical results show that resource distribution over the population of competing agents develops highly nonuniform profiles, exhibiting clustering and fluctuations with anomalous dependence on the population size. This non-standard statistical behavior jeopardizes an analytical treatment based on mean-field assumptions. We propose alternative simplified analytical approaches which provide a stylized description of entropy evolution for the clustered distribution of resources and explain the unusually slow decrease of fluctuations.
Fil: Gómez Garay, Ignacio T.. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina - Materia
-
REPLICATOR POPULATION
STOCHASTIC RESETTING
CLUSTERING
ANOMALOUS FLUCTUATIONS - 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:11336/219025
Ver los metadatos del registro completo
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spelling |
Resource concentration and clustering in replicator dynamics with stochastic reset eventsGómez Garay, Ignacio T.Zanette, Damian HoracioREPLICATOR POPULATIONSTOCHASTIC RESETTINGCLUSTERINGANOMALOUS FLUCTUATIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes. Random reset events abruptly lead individual resources to a small value from which dynamics must start anew. Numerical results show that resource distribution over the population of competing agents develops highly nonuniform profiles, exhibiting clustering and fluctuations with anomalous dependence on the population size. This non-standard statistical behavior jeopardizes an analytical treatment based on mean-field assumptions. We propose alternative simplified analytical approaches which provide a stylized description of entropy evolution for the clustered distribution of resources and explain the unusually slow decrease of fluctuations.Fil: Gómez Garay, Ignacio T.. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaMolecular Diversity Preservation International2023-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/219025Gómez Garay, Ignacio T.; Zanette, Damian Horacio; Resource concentration and clustering in replicator dynamics with stochastic reset events; Molecular Diversity Preservation International; Entropy; 25; 1; 1-2023; 1-131099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/25/1/99info:eu-repo/semantics/altIdentifier/doi/10.3390/e25010099info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:22:57Zoai:ri.conicet.gov.ar:11336/219025instacron: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 10:22:58.222CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
title |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
spellingShingle |
Resource concentration and clustering in replicator dynamics with stochastic reset events Gómez Garay, Ignacio T. REPLICATOR POPULATION STOCHASTIC RESETTING CLUSTERING ANOMALOUS FLUCTUATIONS |
title_short |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
title_full |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
title_fullStr |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
title_full_unstemmed |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
title_sort |
Resource concentration and clustering in replicator dynamics with stochastic reset events |
dc.creator.none.fl_str_mv |
Gómez Garay, Ignacio T. Zanette, Damian Horacio |
author |
Gómez Garay, Ignacio T. |
author_facet |
Gómez Garay, Ignacio T. Zanette, Damian Horacio |
author_role |
author |
author2 |
Zanette, Damian Horacio |
author2_role |
author |
dc.subject.none.fl_str_mv |
REPLICATOR POPULATION STOCHASTIC RESETTING CLUSTERING ANOMALOUS FLUCTUATIONS |
topic |
REPLICATOR POPULATION STOCHASTIC RESETTING CLUSTERING ANOMALOUS FLUCTUATIONS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes. Random reset events abruptly lead individual resources to a small value from which dynamics must start anew. Numerical results show that resource distribution over the population of competing agents develops highly nonuniform profiles, exhibiting clustering and fluctuations with anomalous dependence on the population size. This non-standard statistical behavior jeopardizes an analytical treatment based on mean-field assumptions. We propose alternative simplified analytical approaches which provide a stylized description of entropy evolution for the clustered distribution of resources and explain the unusually slow decrease of fluctuations. Fil: Gómez Garay, Ignacio T.. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina |
description |
As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes. Random reset events abruptly lead individual resources to a small value from which dynamics must start anew. Numerical results show that resource distribution over the population of competing agents develops highly nonuniform profiles, exhibiting clustering and fluctuations with anomalous dependence on the population size. This non-standard statistical behavior jeopardizes an analytical treatment based on mean-field assumptions. We propose alternative simplified analytical approaches which provide a stylized description of entropy evolution for the clustered distribution of resources and explain the unusually slow decrease of fluctuations. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-01 |
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/11336/219025 Gómez Garay, Ignacio T.; Zanette, Damian Horacio; Resource concentration and clustering in replicator dynamics with stochastic reset events; Molecular Diversity Preservation International; Entropy; 25; 1; 1-2023; 1-13 1099-4300 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/219025 |
identifier_str_mv |
Gómez Garay, Ignacio T.; Zanette, Damian Horacio; Resource concentration and clustering in replicator dynamics with stochastic reset events; Molecular Diversity Preservation International; Entropy; 25; 1; 1-2023; 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/url/https://www.mdpi.com/1099-4300/25/1/99 info:eu-repo/semantics/altIdentifier/doi/10.3390/e25010099 |
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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1844614222821982208 |
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13.070432 |