In the k-prophet problem, a decision maker observes n items sequentially and selects up to k n items without recourse to maximize the total expected reward of the selected items. We consider a soft version of the problem where the decision maker can select up to k items in expectation rather...

A pervasive problem for retailers is to make assortment and inventory procurement decisions of substitutable products with the goal of maximizing expected profits over a pre-defined selling horizon. Multiple inventory replenishments are not allowed. This problem is challenging because of demand...

We generalize the concept of K-convexity to an n-dimensional Euclidean space. The resulting concept of K-convexity is useful in addressing production and inventory problems where there are individual product setup costs and/or joint setup costs. We derive some basic properties of K-convex...

Manzini and Mariotti [Manzini, Paola, Marco Mariotti. 2014. Stochastic choice and consideration sets. Econometrica 82(3) 1153-1176.] propose a consideration set based choice model that postulates a full preference ordering as well as exogenous attention probabilities from which consideration...

We study contracts between a single retailer and multiple suppliers of two substitutable products, where suppliers have fixed capacities and present the retailer cost contracts for their supplies. After observing the contracts, the retailer decides how much capacity to purchase from each...

We propose one of the first models of "product framing" and pricing. Product framing refers to the way consumer choice is influenced by how the products are framed, or displayed. We present a model where a set of products are displayed, or framed, into a set of virtual web pages. We assume that...

Dynamic pricing is designed to increase revenues or profits of the firm by adjusting prices in response to changes in the marginal value of capacity as described in Gallego and van Ryzin (1994). While thousands of papers have been written about dynamic pricing, this is to our knowledge the first...

We show the equivalence of discrete choice models and the class of binary choice forests, which are random forests based on binary choice trees. This suggests that standard machine learning techniques based on random forests can serve to estimate discrete choice models with an interpretable...

We consider a capacity provider who offers multiple versions of a single product, such as different seat locations for an event. We assume that the different versions share an unknown core value and command a known premium or discount relative to the core value. Customers arrive at an unknown...

We consider the problem of a firm seeking to use personalized pricing to sell an exogenously given stock of a product over a finite selling horizon to different consumer types. We assume that the type of an arriving consumer can be observed but the demand function associated with each type is...