Uniform propagation of chaos for a dollar exchange econophysics model

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dc.contributor.authorCao, Fei
dc.contributor.authorCortez, Roberto
dc.date.accessioned2025-01-24T11:48:58Z
dc.date.available2025-01-24T11:48:58Z
dc.date.issued2024
dc.descriptionIndexación: Scopus
dc.description.abstractWe study the poor-biased model for money exchange introduced in Cao & Motsch ((2023) Kinet. Relat. Models 16(5), 764–794.): agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gives a dollar to another agent picked uniformly at random. Simulations of a stochastic system of finitely many agents as well as a rigorous analysis carried out in Cao & Motsch ((2023) Kinet. Relat. Models 16(5), 764–794.), Lanchier ((2017) J. Stat. Phys. 167(1), 160–172.) suggest that, when both the number of agents and time become large enough, the distribution of money among the agents converges to a Poisson distribution. In this manuscript, we establish a uniform-in-time propagation of chaos result as the number of agents goes to infinity, which justifies the validity of the mean-field deterministic infinite system of ordinary differential equations as an approximation of the underlying stochastic agent-based dynamics. © The Author(s), 2024.
dc.description.urihttps://www-cambridge-org.recursosbiblioteca.unab.cl/core/journals/european-journal-of-applied-mathematics/article/uniform-propagation-of-chaos-for-a-dollar-exchange-econophysics-model/91DF9A06A8C3108F33CE947A1508967B
dc.identifier.citationEuropean Journal of Applied Mathematics. 2024
dc.identifier.doi10.1017/S0956792524000184
dc.identifier.issn0956-7925
dc.identifier.urihttps://repositorio.unab.cl/handle/ria/63250
dc.language.isoen
dc.publisherPublisher Cambridge University Press
dc.rights.licenseAttribution 4.0 International Deed (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAgent-based Model
dc.subjectCoupling
dc.subjectEconophysics
dc.subjectUniform Propagation of Chaos
dc.subjectWasserstein Distance
dc.titleUniform propagation of chaos for a dollar exchange econophysics model
dc.typeArtículo
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