Convexidade generalizada com aplica????es em economia
Ano de defesa: | 2016 |
---|---|
Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | |
Tipo de documento: | Tese |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Cat??lica de Bras??lia
|
Programa de Pós-Graduação: |
Programa Strictu Sensu em Economia de Empresas
|
Departamento: |
Escola de Gest??o e Neg??cios
|
País: |
Brasil
|
Palavras-chave em Português: | |
Área do conhecimento CNPq: | |
Resumo em Inglês: | In this paper rst we studied a family of functions de ned as Arrow-Debreu functions, which proved to contain the entire family of pseudo concave functions that appear in the literature. We show that the closures of the preferred sets are usually star shaped and when the e ective domain is convex these sets are also convex. Some existence results for the classical maximization problem are given for this family of functions. After this the concept of satiation a ordability opportunities in unbounded economies is introduced and shown that the hypothesis that there is no satiation a ordability opportunity de ned here is necessary and su cient condition for existence of solution for the consumer problem. Finally it is shown this hypothesis is a consequence of inconsequential arbitrage condition. |
Link de acesso: | https://bdtd.ucb.br:8443/jspui/handle/tede/2154 |
Resumo: | In this paper rst we studied a family of functions de ned as Arrow-Debreu functions, which proved to contain the entire family of pseudo concave functions that appear in the literature. We show that the closures of the preferred sets are usually star shaped and when the e ective domain is convex these sets are also convex. Some existence results for the classical maximization problem are given for this family of functions. After this the concept of satiation a ordability opportunities in unbounded economies is introduced and shown that the hypothesis that there is no satiation a ordability opportunity de ned here is necessary and su cient condition for existence of solution for the consumer problem. Finally it is shown this hypothesis is a consequence of inconsequential arbitrage condition. |
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network_name_str |
Biblioteca Digital de Teses e Dissertações da UCB |
spelling |
Carhuajulca, Jaime Jos?? Orrillohttp://lattes.cnpq.br/0227304533127933http://lattes.cnpq.br/5846277107400593Freitas, Sinval Braga de2017-06-13T14:11:39Z2016-06-03FREITAS, Sinval Braga de. Convexidade generalizada com aplica????es em economia. 2016. 54 f. Tese (Programa Stricto Sensu em Economia de Empresas) - Universidade Cat??lica de Bras??lia, Bras??lia, 2016.https://bdtd.ucb.br:8443/jspui/handle/tede/2154In this paper rst we studied a family of functions de ned as Arrow-Debreu functions, which proved to contain the entire family of pseudo concave functions that appear in the literature. We show that the closures of the preferred sets are usually star shaped and when the e ective domain is convex these sets are also convex. Some existence results for the classical maximization problem are given for this family of functions. After this the concept of satiation a ordability opportunities in unbounded economies is introduced and shown that the hypothesis that there is no satiation a ordability opportunity de ned here is necessary and su cient condition for existence of solution for the consumer problem. Finally it is shown this hypothesis is a consequence of inconsequential arbitrage condition.Neste trabalho estudamos primeiro uma fam??lia de fun????es de nidas como Fun????es de Arrow- Debreu, a qual provamos conter toda a fam??lia de fun????es pseudo c??ncavas que aparecem na literatura. Mostramos que os fechos dos conjuntos dos preferidos s??o, em geral, estrelados e quando o dom??nio efetivo ?? convexo esses conjuntos tamb??m s??o convexos. Alguns resultados de exist??ncia para o problema de maximiza????o cl??ssico s??o dados para essa fam??lia de fun????es. Em seguida, o conceito de oportunidades de acessibilidade saciada em economias n??o limitadas ?? introduzido e mostrado que a hip??tese de n??o exist??ncia de oportunidade de acessibilidade saciada aqui de nida ?? condi????o necess??ria e su ciente para que o problema do consumidor tenha solu????o. Finalmente ?? mostrado que essa hip??tese ?? consequ??ncia da condi????o de arbitragem inconsequente.Submitted by Sara Ribeiro (sara.ribeiro@ucb.br) on 2017-06-13T14:11:27Z No. of bitstreams: 1 SinvalBragadeFreitasTese2016.pdf: 706624 bytes, checksum: 578a2a771cd50a1b6f9bb8145d641ce3 (MD5)Approved for entry into archive by Sara Ribeiro (sara.ribeiro@ucb.br) on 2017-06-13T14:11:38Z (GMT) No. of bitstreams: 1 SinvalBragadeFreitasTese2016.pdf: 706624 bytes, checksum: 578a2a771cd50a1b6f9bb8145d641ce3 (MD5)Made available in DSpace on 2017-06-13T14:11:39Z (GMT). No. of bitstreams: 1 SinvalBragadeFreitasTese2016.pdf: 706624 bytes, checksum: 578a2a771cd50a1b6f9bb8145d641ce3 (MD5) Previous issue date: 2016-06-03application/pdfhttps://bdtd.ucb.br:8443/jspui/retrieve/4668/SinvalBragadeFreitasTese2016.pdf.jpgporUniversidade Cat??lica de Bras??liaPrograma Strictu Sensu em Economia de EmpresasUCBBrasilEscola de Gest??o e Neg??ciosFun????esAcessibilidadeAn??lise convexaSaciedade sequencialCIENCIAS SOCIAIS APLICADAS::ECONOMIAConvexidade generalizada com aplica????es em economiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesis-1139962560771343510500500600-1917891883403718704-2504903392600098822info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UCBinstname:Universidade Católica de Brasíliainstacron:UCBTHUMBNAILSinvalBragadeFreitasTese2016.pdf.jpgSinvalBragadeFreitasTese2016.pdf.jpgimage/jpeg3430https://bdtd.ucb.br:8443/jspui/bitstream/tede/2154/3/SinvalBragadeFreitasTese2016.pdf.jpgcbf60127d318f5150d4db60a3c337cefMD53ORIGINALSinvalBragadeFreitasTese2016.pdfSinvalBragadeFreitasTese2016.pdfapplication/pdf706624https://bdtd.ucb.br:8443/jspui/bitstream/tede/2154/2/SinvalBragadeFreitasTese2016.pdf578a2a771cd50a1b6f9bb8145d641ce3MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82048https://bdtd.ucb.br:8443/jspui/bitstream/tede/2154/1/license.txt76cd1e6bdecb11e4b12c81d5fe0f87b3MD51tede/2154oai:bdtd.ucb.br:tede/21542017-06-14 01:03:10.991Biblioteca Digital de Disserta????es da Universidade Cat??lica de Bras??lia - UCBsdi@ucb.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 |
dc.title.por.fl_str_mv |
Convexidade generalizada com aplica????es em economia |
title |
Convexidade generalizada com aplica????es em economia |
spellingShingle |
Convexidade generalizada com aplica????es em economia Freitas, Sinval Braga de Fun????es Acessibilidade An??lise convexa Saciedade sequencial CIENCIAS SOCIAIS APLICADAS::ECONOMIA |
title_short |
Convexidade generalizada com aplica????es em economia |
title_full |
Convexidade generalizada com aplica????es em economia |
title_fullStr |
Convexidade generalizada com aplica????es em economia |
title_full_unstemmed |
Convexidade generalizada com aplica????es em economia |
title_sort |
Convexidade generalizada com aplica????es em economia |
author |
Freitas, Sinval Braga de |
author_facet |
Freitas, Sinval Braga de |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Carhuajulca, Jaime Jos?? Orrillo |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/0227304533127933 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/5846277107400593 |
dc.contributor.author.fl_str_mv |
Freitas, Sinval Braga de |
contributor_str_mv |
Carhuajulca, Jaime Jos?? Orrillo |
dc.subject.por.fl_str_mv |
Fun????es Acessibilidade An??lise convexa Saciedade sequencial |
topic |
Fun????es Acessibilidade An??lise convexa Saciedade sequencial CIENCIAS SOCIAIS APLICADAS::ECONOMIA |
dc.subject.cnpq.fl_str_mv |
CIENCIAS SOCIAIS APLICADAS::ECONOMIA |
dc.description.abstract.eng.fl_txt_mv |
In this paper rst we studied a family of functions de ned as Arrow-Debreu functions, which proved to contain the entire family of pseudo concave functions that appear in the literature. We show that the closures of the preferred sets are usually star shaped and when the e ective domain is convex these sets are also convex. Some existence results for the classical maximization problem are given for this family of functions. After this the concept of satiation a ordability opportunities in unbounded economies is introduced and shown that the hypothesis that there is no satiation a ordability opportunity de ned here is necessary and su cient condition for existence of solution for the consumer problem. Finally it is shown this hypothesis is a consequence of inconsequential arbitrage condition. |
dc.description.abstract.por.fl_txt_mv |
Neste trabalho estudamos primeiro uma fam??lia de fun????es de nidas como Fun????es de Arrow- Debreu, a qual provamos conter toda a fam??lia de fun????es pseudo c??ncavas que aparecem na literatura. Mostramos que os fechos dos conjuntos dos preferidos s??o, em geral, estrelados e quando o dom??nio efetivo ?? convexo esses conjuntos tamb??m s??o convexos. Alguns resultados de exist??ncia para o problema de maximiza????o cl??ssico s??o dados para essa fam??lia de fun????es. Em seguida, o conceito de oportunidades de acessibilidade saciada em economias n??o limitadas ?? introduzido e mostrado que a hip??tese de n??o exist??ncia de oportunidade de acessibilidade saciada aqui de nida ?? condi????o necess??ria e su ciente para que o problema do consumidor tenha solu????o. Finalmente ?? mostrado que essa hip??tese ?? consequ??ncia da condi????o de arbitragem inconsequente. |
description |
In this paper rst we studied a family of functions de ned as Arrow-Debreu functions, which proved to contain the entire family of pseudo concave functions that appear in the literature. We show that the closures of the preferred sets are usually star shaped and when the e ective domain is convex these sets are also convex. Some existence results for the classical maximization problem are given for this family of functions. After this the concept of satiation a ordability opportunities in unbounded economies is introduced and shown that the hypothesis that there is no satiation a ordability opportunity de ned here is necessary and su cient condition for existence of solution for the consumer problem. Finally it is shown this hypothesis is a consequence of inconsequential arbitrage condition. |
publishDate |
2016 |
dc.date.issued.fl_str_mv |
2016-06-03 |
dc.date.accessioned.fl_str_mv |
2017-06-13T14:11:39Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/doctoralThesis |
status_str |
publishedVersion |
format |
doctoralThesis |
dc.identifier.citation.fl_str_mv |
FREITAS, Sinval Braga de. Convexidade generalizada com aplica????es em economia. 2016. 54 f. Tese (Programa Stricto Sensu em Economia de Empresas) - Universidade Cat??lica de Bras??lia, Bras??lia, 2016. |
dc.identifier.uri.fl_str_mv |
https://bdtd.ucb.br:8443/jspui/handle/tede/2154 |
identifier_str_mv |
FREITAS, Sinval Braga de. Convexidade generalizada com aplica????es em economia. 2016. 54 f. Tese (Programa Stricto Sensu em Economia de Empresas) - Universidade Cat??lica de Bras??lia, Bras??lia, 2016. |
url |
https://bdtd.ucb.br:8443/jspui/handle/tede/2154 |
dc.language.iso.fl_str_mv |
por |
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por |
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500 500 600 |
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Universidade Cat??lica de Bras??lia |
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Programa Strictu Sensu em Economia de Empresas |
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UCB |
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Brasil |
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Escola de Gest??o e Neg??cios |
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Universidade Cat??lica de Bras??lia |
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