We consider a dynamic (differential) game with three players competing against each other. Each period each player can allocate his resources so as to direct his competition towards particular rivals -- we call such competition selective. The setting can be applied to a wide variety of cases:...

A nonlinear differential game is developed with the industry and the government as two actors that act independently of each other with different objectives and different time preferences in the second best solution. The industry is concerned about the profit stream from the production of a...

This paper studies a transboundary pollution problem between two neighbour regions as a dynamic game. These two regions do not only share an environmental problem but they are also engaged in interregional trade. A good produced in one region is traded to the other which uses it as an input....

I study a class of differential games of pollution control with profit functions that are polynomial in the global pollution stock. Given an emissions path satisfying mild regularity conditions, a simple polynomial ambient transfer scheme is exhibited that induces it in Markov-perfect...

In this paper we use a differential game analysis to study the dynamic strategic interaction between a criminal gang extorting money from local shop- owners and the police force. In particular, we are interested in characterizing which factors are important in determining whether the capital...

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary conditions that allow us to characterize Markov perfect Nash equilibria (MPNE) for these...

This paper yields sufficient conditions for Pareto inoptimality of controls forming Nash equilibria in differential games. In Appendix a result on existence of open loop Nash equilibria is added.

This paper studies the interaction between two autonomous policymakers, the central bank and the government, in managing public debt as the result of a two-stage game. In the first stage the institutional regime is established. This determines the equilibrium solution to be applied in the second...

This article provides a survey of dynamic models of international environmental agreements (IEAs). The focus is on environmental problems that are caused by a stock pollutant as are the cases of the acid rain and climate change. For this reason, the survey only reviews the literature that...

Within a non-cooperative transboundary pollution game, we investigate the impact of the adoption of a cleaner technology (i.e., a decrease in the emission to output ratio). We show that countries may respond by increasing their emissions resulting in an increase in the stock of pollution that...