This paper presents a vintage capital model assuming putty–clay investment and perfect foresight. The model is written in discrete time and is simulated by using a second order relaxation algorithm. By computing the eigenvalues of the dynamic system, we have checked the conditions of existence...

We highlight the salient characteristics and implications of the seminal contributions in the field of vintage capital growth theory (proposed entry for the New Palgrave Dictionary of Economics, 2nd edition).

In this paper, we examine techniques for the analytical and numerical solution of statedependent differential-difference equations. Such equations occur in the continuous time modelling of vintage capital growth models, which form a particularly important class of models in modern economic...

This paper studies the conditions under which an IT revolution may occur and have permanent effects on long-term growth. To this end, we construct a multi-sectoral growth model with endogenous embodied technical progress. The R&D sector expands the range of softwares. The capital sector produces...

We use two stage optimal control techniques to solve some adoption problems under embodied technical change. We first solve a benchmark problem without learning behavior. At the date of switching, the consumption level is shown to drop, as the relative price of capital goes down (obsolescence)....

This paper derives the optimal pace of capital accumulation at the firm level and the corresponding investment dynamics in the presence of an energy-saving technological progress. Energy and capital are complementary. When technical progress is disembodied, the firm invests once at the first...

This paper explores the interactions between maintenance, adoption and investment activities when labor is heterogeneous. We consider that adoption activities are intensive in human capital whereas capital maintenance requires unskilled labor. Among the main results, we find that the optimal...

This paper studies the conditions under which an IT revolution may endogenously occur. To this end, we construct an endogenous growth multisectoral model with a preeminent IT sector. Technological progress is embodied : New softwares can only be run on the most recent generations and hardware....

By deriving the necessary conditions for a multi-stage discounted optimal control problem where the endogenous switching instants between regimes appear as an argument of the objective function and the state equation, we analyze the optimal pattern of technology adoption under embodiment with a...

In this paper, we build up a general equilibrium model explicitly incorporating Schumpeterian growth à la Aghion and Howitt (1992) and a vintage capital structure in line with Solow (1960). In this set-up, we show that the investment rate is a fundamental determinant of the profitability of...