Solving the non-convexity problem in some shopping-time and human-capital models

Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use Örst-order conditions in dynamic optimization to characterize necessity, but not su¢ ciency, in intertemporal problems. In this work I choose one paper in each one of th...

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Detalles Bibliográficos
Autor: Cysne, Rubens Penha
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:Brasil
Institución:Fundação Getulio Vargas (FGV)
Repositorio:Repositório Institucional do FGV (FGV Repositório Digital)
Idioma:inglés
OAI Identifier:oai:repositorio.fgv.br:10438/600
Acceso en línea:http://hdl.handle.net/10438/600
Access Level:acceso abierto
Palabra clave:Arrow's sufficiency theorem
Optimal control
Shopping-time
Human capital
Growth
Economia
Economia matemática
Descripción
Sumario:Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use Örst-order conditions in dynamic optimization to characterize necessity, but not su¢ ciency, in intertemporal problems. In this work I choose one paper in each one of these two areas and show that optimality can be characterized by means of a simple aplication of Arrowís (1968) su¢ ciency theorem.