The research reported here gives priority to understanding the inter-temporal resource allocation requirements of a program of technological changes that could halt global warming by completing the transition to a "green" (zero net CO2- emission) production regime within the possibly brief...

Microgrids can deploy traditional and/or renewable power sources to support remote sites. Utilizing renewable power sources requires more complicated control strategies to achieve acceptable power quality and maintain grid stability. In this research, we assume that the grid stability problem is...

In this paper we address the control problem of a social optimum in presence of waste and capital stocks. We address this problem in two stages. In the first, we suppose that output is fixed; next, we endogenize output allowing for growth. The analytical framework is simple. Consumption is assumed...

There are two main approaches to modelling monetary policy; simple instrument rules and optimal policy. We propose an alternative that combines the two by extending the loss function with a term penalizing deviations from a simple rule. We analyze the properties of the modified loss function by...

We present a two-armed bandit model of decision making under uncertainty where the expected return to investing in the "risky arm'' increases when choosing that arm and decreases when choosing the "safe'' arm. These dynamics are natural in applications such as human capital development, job...

We present efficient partial differential equation (PDE) methods for continuous time mean-variance portfolio allocation problems when the underlying risky asset follows a jump-diffusion. The standard formulation of mean-variance optimal portfolio allocation problems, where the total wealth is...

In this paper we consider the optimal impulse control of a system which evolves randomly in accordance with a homogeneous diffusion process in R^1: Whenever the system is controlled a cost is incurred which has a fixed component and a component which increases with the magnitude of the control...