Regularity of Mean-Field Games : an introduction
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2020 |
| Tipo de documento: | Dissertação |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional do FGV (FGV Repositório Digital) |
| Texto Completo: | https://hdl.handle.net/10438/29816 |
Resumo: | Mean-field games, introduzido numa perspectiva de equações diferenciais parciais por Lions e Lasry, modelam situações com um grande número de agentes considerado um contínuo. O estudo da regularidade de funções é observar propriedades de integrabilidade e diferenciabilidade. Essa dissertação começa com a introdução dos ingredientes necessários da teoria de equações diferenciais parciais, continua com a análise de algumas estimativas das soluções das equações, concluindo com resultados em regularidade para as soluções do problema de mean-field games. |
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Carletti, DanielEscolas::EMApSoledad Aronna, MariaVelho, Roberto MachadoSaporito, Yuri Fahham2020-11-10T13:09:45Z2020-11-10T13:09:45Z2020-08-18https://hdl.handle.net/10438/29816Mean-field games, introduzido numa perspectiva de equações diferenciais parciais por Lions e Lasry, modelam situações com um grande número de agentes considerado um contínuo. O estudo da regularidade de funções é observar propriedades de integrabilidade e diferenciabilidade. Essa dissertação começa com a introdução dos ingredientes necessários da teoria de equações diferenciais parciais, continua com a análise de algumas estimativas das soluções das equações, concluindo com resultados em regularidade para as soluções do problema de mean-field games.Mean-field games, introduced in a differential perspective by Lions and Lasry ,model situations dealing with a great number of agents considered as a continuum. The study of the regularity of functions is to observe properties of integrability and differentiability. This dissertation starts with an introduction of the necessary ingredients from the partial differential equations theory, it goes on with the analysis of some estimates of the solutions of these equations, and concludes with results on regularity for the mean field games solutions.engMean-field gamesRegularityMatemáticaEquações diferenciais parciaisHamilton-Jacobi, Equações deRegularity of Mean-Field Games : an introductioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis2020-08-18reponame:Repositório Institucional do FGV (FGV Repositório Digital)instname:Fundação Getulio Vargas (FGV)instacron:FGVinfo:eu-repo/semantics/openAccessTEXTdissertacao.pdf.txtdissertacao.pdf.txtExtracted texttext/plain74264https://repositorio.fgv.br/bitstreams/6c5b2d19-6db7-4fd4-930f-6f3a0bfd9780/downloadcb160f0cbca6ae997516ab38cbd341beMD55THUMBNAILdissertacao.pdf.jpgdissertacao.pdf.jpgGenerated 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Regularity of Mean-Field Games : an introduction |
| title |
Regularity of Mean-Field Games : an introduction |
| spellingShingle |
Regularity of Mean-Field Games : an introduction Carletti, Daniel Mean-field games Regularity Matemática Equações diferenciais parciais Hamilton-Jacobi, Equações de |
| title_short |
Regularity of Mean-Field Games : an introduction |
| title_full |
Regularity of Mean-Field Games : an introduction |
| title_fullStr |
Regularity of Mean-Field Games : an introduction |
| title_full_unstemmed |
Regularity of Mean-Field Games : an introduction |
| title_sort |
Regularity of Mean-Field Games : an introduction |
| author |
Carletti, Daniel |
| author_facet |
Carletti, Daniel |
| author_role |
author |
| dc.contributor.unidadefgv.por.fl_str_mv |
Escolas::EMAp |
| dc.contributor.member.none.fl_str_mv |
Soledad Aronna, Maria Velho, Roberto Machado |
| dc.contributor.author.fl_str_mv |
Carletti, Daniel |
| dc.contributor.advisor1.fl_str_mv |
Saporito, Yuri Fahham |
| contributor_str_mv |
Saporito, Yuri Fahham |
| dc.subject.eng.fl_str_mv |
Mean-field games Regularity |
| topic |
Mean-field games Regularity Matemática Equações diferenciais parciais Hamilton-Jacobi, Equações de |
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Matemática |
| dc.subject.bibliodata.por.fl_str_mv |
Equações diferenciais parciais Hamilton-Jacobi, Equações de |
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Mean-field games, introduzido numa perspectiva de equações diferenciais parciais por Lions e Lasry, modelam situações com um grande número de agentes considerado um contínuo. O estudo da regularidade de funções é observar propriedades de integrabilidade e diferenciabilidade. Essa dissertação começa com a introdução dos ingredientes necessários da teoria de equações diferenciais parciais, continua com a análise de algumas estimativas das soluções das equações, concluindo com resultados em regularidade para as soluções do problema de mean-field games. |
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2020 |
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2020-11-10T13:09:45Z |
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2020-08-18 |
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