In this paper the dynamic programming approach is exploited in order to identify the closed loop policy function, and the consumption smoothing mechanisms in an endogenous growth model with time to build, linear technology and irreversibility constraint in investment. Moreover the link among the...

A benchmark AK optimal growth model with maintenance expenditures and endogenous utilization of capital is considered within an explicit vintage capital framework. Scrapping is endogenous, and the model allows for a clean distinction between age and usage dependent capital depreciation and...

In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous and more than one consumption good exists.

In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous and more than one consumption good exists.

In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous and more than one consumption good exists.

In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous and the the instantaneous utility function of the representative agent has two properties: (a) the intertemporal elasticity of...

In this paper a family of optimal control problems for economic models is considered, whose state variables are driven by Delay Differential Equations (DDE's). Two main examples are illustrated: an AK model with vintage capital and an advertising model with delay e ect. These problems are very...

We study several aspects of the dynamic programming approach to optimal control of abstract evolution equations, including a class of semilinear partial differential equations. We introduce and prove a verification theorem which provides a sufficient condition for optimality. Moreover we prove...

This paper deals with an endogenous growth model with vintage capital and, more precisely, with the AK model proposed in [18]. In endogenous growth models the introduction of vintage capital allows to explain some growth facts but strongly increases the mathematical difficulties. So far, in this...