We propose a new methodology exploring Markov perfect equilibrium strategies in differential games with regime switching. Specifically, we develop a general game with two players having two kinds of strategies. Players choose an action that influences the evolution of a state variable, and...

We characterise the entire set of symmetric stationary Markov-perfect Nash equilibria (MPE) in a differential game of public good investment, using the canonical problem of climate change as an example. We provide a sufficient and necessary condition for MPE and show how the entire set of MPE is...

We borrow standard assumptions from the non-renewable-resource-taxation and from the directed-technical-change literatures, to take a full account of the incentives to perform R&D activities in a dirty-resource sector and in a clean-resource-substitute sector. We show that a gradual rise in the...

Using a dynamic framework with strategic interactions, we study the management of a non-renewable natural resource when property rights are generally weak. Under generally weak property rights both the resource stock and the revenues from exploiting it are imperfectly protected, due to...

We model countries' choice of greenhouse gas (GHG) emissions as a dynamic game. Emissions generate immediate benefits to the emitting country but also increase atmospheric GHG concentrations that negatively affect present and future welfare of all countries. Because there are no international...

We develop a dynamic model of hospital competition where (i) waiting times increase if demand exceeds supply; (ii) patients choose a hospital based in part on waiting times; and (iii) hospitals incur waiting time penalties. We show that, whereas policies based on penalties will lead to lower...

We define a differential game of public investment with a discontinuous Markovian strategy space. The best response correspondence for the game is well-behaved: a best response exists and uniquely maps almost all profiles of opponents' strategies back to the strategy space. Our chosen strategy...

We study backstop adoption and carbon dioxide emission paths in a two-region model with unilateral climate policy and non-renewable resource consumption. The regions have an equal endowment of the internationally tradable resource and a backstop technology. We first study the case of a...

It is frequently observed that the implementation of green policies is delayed compared to the initial announcement. Considering a setting with a representative monopolist extracting a non-renewable resource, we demonstrate that announcing a green policy, but then delaying its implementation, is...

The Dasgupta-Heal-Solow-Stiglitz model of capital accumulation and resource depletion poses the following sustainability problem: is it feasible to sustain indefinitely a level of consumption that is bounded away from zero? We provide a complete technological characterization of the...