Convexidade generalizada com aplica????es em economia

• Ano de defesa: 2016
• Autor(a) principal: Freitas, Sinval Braga de
• Orientador(a): Carhuajulca, Jaime Jos?? Orrillo
• 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: Fun????es; Acessibilidade; An??lise convexa; Saciedade sequencial
• Área do conhecimento CNPq: CIENCIAS SOCIAIS APLICADAS::ECONOMIA
• 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

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.