Demand Estimation Under Incomplete Product Availability


Book Description

Incomplete product availability arising from stock-out events and capacity constraints is a common and important feature of many markets. Periods of unavailability censor the observed sales for the affected product, and potentially increase observed sales of available substitutes. As a result, failing to adjust for incomplete product availability can lead to biased demand estimates. Common applications of these demand estimates, such as computing welfare effects from mergers or new products, are therefore unreliable in such settings. These issues are likely to arise in many industries, from retail to sporting events to airlines. In this paper, we study a new dataset from a wireless inventory management systems, which was installed on a set of 54 vending machines in order to track product availability at high frequency (roughly every four hours). These data allow us to account for product availability when estimating demand, and introduces a valuable source of variation for identifying substitution patterns. We also develop a simple procedure that allows for changes in product availability even when we only observe inventory (and thus availability) periodically. We find significant differences in the parameter estimates in demand, and as a result, the corrected model predicts significantly larger impacts of stock-outs on profitability.




Demand Estimation with Missingness of Product Availability


Book Description

Discrete choice models predict the choices among two or more discrete alternatives. We discuss some existing models but focus on the Multinomial Choice Model (MNL) and explain Expectation-Maximization (EM) algorithms. We provide evidence that failing to account for product availability leads to bias in demand estimates and use an illustrative example to demonstrate this. We propose a new model accounting for product availability. To accomplish this, we use EM algorithms and direct optimization of observed data log-likelihood for estimating maximum likelihood estimates by introducing product availability as a missing variable. We use a simulation study to compare the models' prediction accuracy and fit the new model to the illustrative example.




Nonparametric Demand Estimation in Differentiated Products Markets


Book Description

I develop and apply a nonparametric approach to estimate demand in differentiated products markets. Estimating demand flexibly is key to addressing many questions in economics that hinge on the shape - and notably the curvature - of market demand functions. My approach applies to standard discrete choice settings, but accommodates a broader range of consumer behaviors and preferences, including complementarities across goods, consumer inattention, and consumer loss aversion. Further, no distributional assumptions are made on the unobservables and only limited functional form restrictions are imposed. Using California grocery store data, I apply my approach to perform two counterfactual exercises: quantifying the pass-through of a tax, and assessing how much the multi-product nature of sellers contributes to markups. In both cases, I find that estimating demand flexibly has a significant impact on the results relative to a standard random coefficients discrete choice model, and I highlight how the outcomes relate to the estimated shape of the demand functions.







Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics


Book Description

We study the identification and estimation of preferences in hedonic discrete choice models of demand for differentiated products. In the hedonic discrete choice model, products are represented as a finite dimensional bundle of characteristics, and consumers maximize utility subject to a budget constraint. Our hedonic model also incorporates product characteristics that are observed by consumers but not by the economist. We demonstrate that, unlike the case where all product characteristics are observed, it is not in general possible to uniquely recover consumer preferences from data on a consumer's choices. However, we provide several sets of assumptions under which preferences can be recovered uniquely, that we think may be satisfied in many applications. Our identification and estimation strategy is a two stage approach in the spirit of Rosen (1974). In the first stage, we show under some weak conditions that price data can be used to nonparametrically recover the unobserved product characteristics and the hedonic pricing function. In the second stage, we show under some weak conditions that if the product space is continuous and the functional form of utility is known, then there exists an inversion between a consumer's choices and her preference parameters. If the product space is discrete, we propose a Gibbs sampling algorithm to simulate the population distribution of consumers' taste coefficients.




Research Handbook on the Economics of Antitrust Law


Book Description

One might mistakenly think that the long tradition of economic analysis in antitrust law would mean there is little new to say. Yet the field is surprisingly dynamic and changing. The specially commissioned chapters in this landmark volume offer a rigorous analysis of the field's most current and contentious issues. Focusing on those areas of antitrust economics that are most in flux, leading scholars discuss topics such as: mergers that create unilateral effects or eliminate potential competition; whether market definition is necessary; tying, bundled discounts, and loyalty discounts; a new theory of predatory pricing; assessing vertical price-fixing after Leegin; proving horizontal agreements after Twombly; modern analysis of monopsony power; the economics of antitrust enforcement; international antitrust issues; antitrust in regulated industries; the antitrust-patent intersection; and modern methods for measuring antitrust damages. Students and scholars of law and economics, law practitioners, regulators, and economists with an interest in industrial organization and consulting will find this seminal Handbook an essential and informative resource.




Contributions to Demand Estimation


Book Description

Chapter 1 proposes a moment inequality approach to estimating random utility models when consumers consideration sets are unobservable to econometricians. I show that, without relying on a specific model of consideration set formation, the random utility model can be identified and estimated via a system of conditional moment inequalities derived from the utility maximization assumption. I apply the moment inequality approach to study whether attention inertia can explain some of the observed persistence in consumers brand choices, as opposed to alternative explanations in terms of preference, e.g., state-dependent utilities. The estimation results, obtained using household scanner data, show that up to twenty percent of the observed persistence, in terms of re-purchase probability, can be attributed to the fact that previous purchase of a brand increases its present consideration probability. Chapter 2 introduces a new approach to estimating differentiated product demand system that allows for error in market shares as measures of choice probabilities. In particular, our approach allows for products with zero sales in the data, which is a frequent phenomenon that arises in product differentiated markets but lies outside the scope of existing demand estimation techniques. We use our approach to study consumer demand from scanner data using the Dominicks Finer Foods database, and find that even for the baseline logit model, demand elasticities nearly double when the full error in market shares is taken into account.