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A Partial-Order-Based Model to Estimate Individual Preferences Using Panel Data

Srikanth Jagabathula, Gustavo Vulcano

Management Science · 2018 · Volume 64 · Issue 4

DOI: 10.1287/mnsc.2016.2683

Abstract

In retail operations, customer choices may be affected by stockout and promotion events. Given panel data with the transaction history of customers, and product availability and promotion data, our goal is to predict future individual purchases. We use a general nonparametric framework in which we represent customers by partial orders of preferences. In each store visit, each customer samples a full preference list of the products consistent with her partial order, forms a consideration set, and then chooses to purchase the most preferred product among the considered ones. Our approach involves: (a) defining behavioral models to build consideration sets as subsets of the products on offer, (b) proposing a clustering algorithm for determining customer segments, and (c) deriving marginal distributions for partial preferences under the multinomial logit model. Numerical experiments on real-world panel data show that our approach allows more accurate, fine-grained predictions for individual purchase behavior compared to state-of-the-art alternative methods. The online appendix is available at https://doi.org/10.1287/mnsc.2016.2683 . This paper was accepted by Vishal Gaur, operations management.

Keywords

nonparametric choice models, inertia in choice, brand loyalty, panel data, partial-orders, customized promotions, personalized predictions

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