Mean-Field Limits for Entropic Multi-Population Dynamical Systems

The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the...

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Autores principales: Almi, Stefano, D’Eramo, Claudio, Morandotti, Marco, Solombrino, Francesco
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10156827/
https://www.ncbi.nlm.nih.gov/pubmed/37152073
http://dx.doi.org/10.1007/s00032-022-00375-w
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author Almi, Stefano
D’Eramo, Claudio
Morandotti, Marco
Solombrino, Francesco
author_facet Almi, Stefano
D’Eramo, Claudio
Morandotti, Marco
Solombrino, Francesco
author_sort Almi, Stefano
collection PubMed
description The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents’ locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.
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spelling pubmed-101568272023-05-05 Mean-Field Limits for Entropic Multi-Population Dynamical Systems Almi, Stefano D’Eramo, Claudio Morandotti, Marco Solombrino, Francesco Milan J Math Article The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents’ locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels. Springer International Publishing 2023-04-24 2023 /pmc/articles/PMC10156827/ /pubmed/37152073 http://dx.doi.org/10.1007/s00032-022-00375-w Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Almi, Stefano
D’Eramo, Claudio
Morandotti, Marco
Solombrino, Francesco
Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title_full Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title_fullStr Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title_full_unstemmed Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title_short Mean-Field Limits for Entropic Multi-Population Dynamical Systems
title_sort mean-field limits for entropic multi-population dynamical systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10156827/
https://www.ncbi.nlm.nih.gov/pubmed/37152073
http://dx.doi.org/10.1007/s00032-022-00375-w
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