In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a stochastic real-valued spot price modelled by Brownian...

We derive optimal input taxes to control stock pollution problems generated by heterogeneous agents. The taxes vary over time and in response to differences of asset quality and technology choice. We also derive second-best policies and compare them to the efficient policy and also among...

We present methods and tools that can be used to study dynamic environmental resource management in a spatial setting, to explore spatially dependent regulation, and to understand pattern formation. In particular, we present the maximum principle and its use in the context of the emerging...