In this article we propose a method for solving a general class of four-dimension nonlinear modified Hamiltonian dynamic systems in closed form. This method may be used to study several intertemporal optimization problems sharing a common structure, which involves unbounded technological...

We consider a general control problem with two types of optimal regime switch. The first one concerns technological and/or institutional regimes indexed by a finite number of discrete parameter values, and the second features regimes relying on given threshold values for given state variables....

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...

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 develop a tractable general theory for the study of the economic and demographic impact of epidemics, notably its distributional consequences. To this end, we build up a three-period overlapping generations model where altruistic parents choose optimal health expenditures for their children...

Consider a country with two regions that have developed differently so that their current levels of energy efficiency differ. Each region's production involves the emission of pollutants, on which a regulator might impose restrictions. The restrictions can be related to pollution standards that...