Many decision problems exhibit structural properties in the sense that the objective function is a composition of different component functions that can be identified using empirical data. We consider the approximation of such objective functions, subject to general monotonicity constraints on...

Based on a dynamic model of the stochastic repayment behavior exhibited by delinquent credit-card accounts as a self-exciting point process, a bank can control the arrival intensity of repayments using costly account-treatment actions. A semi-analytic solution to the corresponding stochastic...

We argue that dynamic pricing motivated by the management of inventory holding and ordering costs leads to increased operational efficiencies which could benefit firms without hurting consumers. To demonstrate this point, we equip the traditional economic order quantity (EOQ) setting with a rich...

Problem definition. We present a continuous-time Bayesian model for managing inventory in a retail setting when inventory records are inaccurate. In our formulation, the inventory level and its record have separate dynamics. The former is driven by the demand and unobservable loss process while...

We present a continuous-time stochastic model of an inventory system with record inaccuracy. In this formulation, demand is modeled by a point process and is observable only when it leads to sales. In addition to demand that can reduce the stock, an unobservable stochastic loss process can also...

We present a continuous-time stochastic formulation of the standard Economic Order Quantity (EOQ) model incorporating all major costs incurred in carrying a product, including the cost of restocking, the cost of auditing the shelf stock level, the opportunity cost of capital, the cost of loss...

We propose a simple explanation for price rigidity in perishable groceries: inventory record inaccuracy (IRI). We build our argument in two steps. First, we tailor Gallego and Van Ryzin’s (1994) revenue management model to perishable groceries by adding an inventory waste process,...

This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for...

In this paper we construct a "reflexivity" index for Bitcoin crypto currency that measures the amount of activity generated endogenously within the market. For this purpose we fit a univariate self-exciting Hawkes process with two-classes of parametric kernels to high-frequency trade data that...