We propose a model for analyzing dynamic pairs trading strategies using the stochastic control approach. The model is explored in an optimal portfolio setting, where the portfolio consists of a bank account and two co-integrated stocks and the objective is to maximize for a fixed time horizon,...

Management science applications frequently involve problems of controlling continuous time dynamic systems, that is, systems which evolve over time. Optimal control theory, a relatively new branch of mathematics, determines the optimal way to control such a dynamic system. The purpose of this...

In this paper, we study a stochastic optimal control for max-min utility admitting volatility ambiguity. By standard assumptions, we establish the dynamic programming principle and the related Hamilton-Jacobi-Bellman (HJB) equation. Finally, we show that the value function is a viscosity...

This paper analyses the implications of heteroscedasticity for optimal macroeconomic policy and welfare. We find that changes in the variance structure driven by exogenous processes like GARCH affect welfare but not the optimal feedback rule. Conversely, changes in the variance structure driven...

This is the first in a series of papers in which we study an efficient approximation scheme for solving the Hamilton-Jacobi-Bellman equation for multi-dimensional problems in stochastic control theory. The method is a combination of a WKB style asymptotic expansion of the value function, which...

Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use first-order conditions in dynamic optimization to characterize necessity, but not sufficiency, in intertemporal problems. In this work I choose one paper in each one...

In this paper we develop an economic growth model that includes anthropogenic climate change. We explicitly include a research sector that creates new technologies and simultaneously expands productivities of existing technologies. The environment is affected by R&D activities both negatively,...

We study a robust model of the multi-armed bandit (MAB) problem in which the transition probabilities are ambiguous and belong to subsets of the probability simplex. We characterize the optimal policy as a project-by-project retirement policy but we show that arms become dependent so the Gittins...

We study a preferred equity infusion government program set to mitigate interbank contagion. Financial institutions are prone to insolvency risk channeled through the network of interbank debt and to the risk of bank runs. The government seeks to maximize, under budget constraints, the total net...