From Data to Decisions
Paper Session
Saturday, Jan. 8, 2022 12:15 PM - 2:15 PM (EST)
- Chair: Sanjog Misra, University of Chicago
Estimating Nesting Structures
Abstract
The nested logit model is commonly used to estimate demand in differentiated productsmarkets. However, it and its generalizations require an assumed nesting structure. In this
paper, we propose to estimate the nesting structure from the data. For this, we build on a
recent generalization of the nested logit model that allows any possible nesting structure
and is consistent with utility-maximization by heterogeneous consumers. In this setting,
estimating the nesting structure amounts to estimating a linear model with many endogenous variables, which is challenging. We show theoretically and in simulations that
non-negativity constraints coming from economic theory are sufficient to recover the nesting structure from data. In doing so, we explore the regularization properties of the nonnegative least squares estimator as demonstrated in the statistical literature and expanded
here to an instrumental variable context. This estimator may be of independent interest
The Value of Data for Price Targeting
Abstract
This paper analyzes the value of information for targeting price discounts in shopping applications. It applies methods that combine standard consumer choice models from marketing and economics with matrix factorization techniques from machine learning, whereby users have latent preferences and products have latent attributes, and these are learned from data about consumer choice in a setting where prices vary over time. The paper applies the model to individual panel data from supermarket shopping for a large retailer. The paper analyzes the value of data for increasing profits through personalized price targeting, assessing the relative importance of enriching the model (adding more latent factors) versus more precisely estimating parameters of a fixed model, finding that enriching the model as data grows is an important contributor to improved performance. The paper shows that increasing the length of the history of data used for given set of individuals is substantially more valuable for targeting to those users than adding data about more products or additional users. The results have implications for privacy policy and competition policy.JEL Classifications
- C5 - Econometric Modeling
- C3 - Multiple or Simultaneous Equation Models; Multiple Variables