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.

We study the strategic behavior of two countries facing transboundary CO2 pollution under a differential game setting. In our model, the reduction of CO2 concentration occurs through the carbon capture and storage process, rather than through the adoption of cleaner technologies. Furthermore, we...

In our paper, we demonstrate that when countries compete in taxes and infrastructure, coordination through a uniform tax rate or a minimum rate does not necessarily create the welfare effects observed under pure tax competition. The divergence is even worse when the competing jurisdictions...

Many authors demonstrate that the tax gap resulting from tax competition increases with the size asymmetry of the competing countries. Consequently, increasing country-size disparities exacerbates the inefficiency of tax competition. The aim of this note is to show that this classical view has...

In this article we study the implication of thresholds in preferences. To model this we extend the basic model of John and Pecchenino (1994) by allowing the current level of environmental quality to have a discrete impact on how an agent trades off future consumption and environmental quality....

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...

This note studies the stochastic stability of the standard AK growth model under uncertain output technology. Capital accumulation follows a stochastic linear homogenous differential equation. It's shown that exponential balanced paths, which characterize optimal trajectories in the absence of...

This paper presents one kind of heterogeneous strategies in some differential games where one player plays open-loop strategy and the other one plays Markovian strategy. On top of the stationary path, this kind of strategies enable the study of trajectory dynamics, even for asymmetric players’...

In this article we study the implication of thresholds in preferences. To model this we extend the basic model of John and Pecchenino (1994) by allowing the current level of environmental quality to have a discrete impact on how an agent trades off future consumption and environmental quality....