The short-run dynamics of optimal growyh models with delays

Differential equations with advanced and delayed time arguments may arise in the optimality conditions of simple growth models with delays. Models with investment gestation lags (time-to-build), consumption gestation lags (habit formation) or learning by using lie in this category. In this paper, we...

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Detalles Bibliográficos
Autores: Collard, Fabrice, Licandro, Omar, Puch González, Luis Antonio
Tipo de recurso: informe técnico
Fecha de publicación:2003
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/64525
Acceso en línea:https://hdl.handle.net/20.500.14352/64525
Access Level:acceso abierto
Palabra clave:O40
E32
C63
Time-to-build
Shooting method
DDEs
Econometría (Economía)
5302 Econometría
Descripción
Sumario:Differential equations with advanced and delayed time arguments may arise in the optimality conditions of simple growth models with delays. Models with investment gestation lags (time-to-build), consumption gestation lags (habit formation) or learning by using lie in this category. In this paper, we propose a shooting method to deal with leads and lags in the Euler system associated to dynamic general equilibrium models in continuous time. We introduce the discussion describing the dynamics that emerge under various assumptions on learning by using and gestation lags. Then, we implement the numerical method we propose to solve for the short run dynamics of a neoclassical growth model with a simple time-to-build lag.