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Previous issue date: 2016-06-03 / 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. / 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.
| Identifer | oai:union.ndltd.org:IBICT/oai:bdtd.ucb.br:tede/2154 |
| Date | 03 June 2016 |
| Creators | Freitas, Sinval Braga de |
| Contributors | Carhuajulca, Jaime Jos?? Orrillo |
| Publisher | Universidade Cat??lica de Bras??lia, Programa Strictu Sensu em Economia de Empresas, UCB, Brasil, Escola de Gest??o e Neg??cios |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UCB, instname:Universidade Católica de Brasília, instacron:UCB |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | -1139962560771343510, 500, 500, 600, -1917891883403718704, -2504903392600098822 |
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