In this paper, we solve a Solow model in continuous time and space. We prove the existence of a solution to the problem and its convergence to a stationary solution. The simulations of various scenario in the last section of the paper illustrates the convergence issue.

The relationship between growth and pollution is studied through a vintage capital model, where new technologies are more environmentally friendly. We find that once the optimal scrapping age of technologies is reached, an economy may achieve two possible cases of sustainable development, one in...

We study how the import of older and more polluting technologies alters the relationship between output and environmental quality in developing countries within a vintage capital framework. Our results show that old technologies prolong the period until which pollution may eventually decrease...

Substitution policies are strategies sometimes chosen in Sub-Saharan Africa for curtailing the shortage of health professionals especially caused by the outflow of medical personnel. The aim of our contribution is to propose a way to assess the merits and drawbacks of substitution policies by...

In this paper, we analyze optimal foreign direct investment of a firm which operates in a duopolistic market. We characterize a technology spillover threshold and show that for an intensity of spillovers below this threshold, there is a unique locally asymptotic stable steady state with a...

This paper analyzes the impact of foreign investments on a small country's economy in the context of international competition. To that end, we model tax and public input competition within a differential game framework between two unequally sized countries. The model accounts for the widely...