Elasticity and Curvature of Discrete Choice Demand Models


Book Description

We explore the determinants of demand curvature and pass-through in aggregate, unit-demand, discrete choice mixed logit models. Accurate pass-through estimates are at the heart of analyses of mergers, taxation, tariffs, cost shocks, and exchange rates when firms have market power. To overcome the inherent curvature restrictions in multinomial logit models, we highlight the need to incorporate heterogeneity in both price responsiveness and preferences for product characteristics. A flexible and parsimonious specification of preference heterogeneity expands the feasible range of elasticity-curvature pairs up to those of the constant elasticity of substitution (CES) demand. We demonstrate empirically significant differences in estimated elasticity and curvature compared to simpler models and highlight their economic relevance in the context of price discrimination.




Estimating Substitution Patterns and Demand Curvature in Discrete-choice Models of Product Differentiation


Book Description

We extend BLP's aggregate discrete-choice model of product differentiation to create more flexibility in the price functional form. We apply a Box-Cox specification, which relaxes the typical unit demand assumption and creates flexibility on demand curvature. The model provides a unifying framework for mixed logit and mixed CES models. Our illustrative application to the ready-to-eat cereals market shows that the cross-sectional relation between price elasticities and average prices per product is more in line with descriptive elasticity patterns. Furthermore, it suggests lower cross-price elasticities between similarly priced products than in more restrictive specifications.




Applied Discrete-Choice Modelling


Book Description

Originally published in 1981. Discrete-choice modelling is an area of econometrics where significant advances have been made at the research level. This book presents an overview of these advances, explaining the theory underlying the model, and explores its various applications. It shows how operational choice models can be used, and how they are particularly useful for a better understanding of consumer demand theory. It discusses particular problems connected with the model and its use, and reports on the authors’ own empirical research. This is a comprehensive survey of research developments in discrete choice modelling and its applications.




Identification and Estimation of Discrete Choice Demand Models when Observed and Unobserved Characteristics are Correlated


Book Description

The standard Berry, Levinsohn, and Pakes (1995) (BLP) approach to estimation of demand and supply parameters assumes that the product characteristic observed by consumers and producers but not the researcher is conditionally mean independent of observed characteristics. We extend BLP to allow all product characteristics to be endogenous, so the unobserved characteristic can be correlated with the observed characteristics. We derive moment conditions based on the assumption that firms choose product characteristics to maximize expected profits given their beliefs at that time about market conditions and that the "mistake" in the amount of the characteristic that is revealed once all products are on the market is conditionally mean independent of the firm's information set. Using the original BLP dataset we find that observed and unobserved product characteristics are highly positively correlated, biasing demand elasticities upward, as average estimated price elasticities double in absolute value and average markups fall by 50%.




Discrete Choice Models


Book Description

Discrete choice models are important tools for analysis of individual choice behavior and have been applied in diverse fields, including transport, marketing, economics, environment and so on. This book begins with discussions about basic concepts and theory underlying the econometrics of discrete choice, commonly used models, model building and tests, and applications of choice models. The third chapter categorizes different sources of errors due to the use of network-based level of service (LOS) attributes in disaggregate travel demand modeling. The fourth chapter investigates the errors in variables problem in multinomial choice modeling with an example of logit model of mode choice. The fifth chapter explores the sensitivity of model results to specification of network-based LOS attributes. The sixth chapter addresses the problems of intrazonal trips in mode choice modeling. The seventh chapter extends the analyses using the mixed logit model. I believe that the book will be useful to students, researchers and practitioners in the field of choice modeling generally and travel demand modeling particularly.




Identification and Estimation in Discrete Choice Demand Models when Endogenous Variables Interact with the Error


Book Description

Abstract: We develop an estimator for the parameters of a utility function that has interactions between the unobserved demand error and observed factors including price. We show that the Berry (1994)/Berry, Levinsohn, and Pakes (1995) inversion and contraction can still be used to recover the mean utility term that now contains both the demand error and the interactions with the error. However, the instrumental variable (IV) solution is no longer consistent because the price interaction term is correlated with the instrumented price. We show that the standard conditional moment restrictions (CMRs) do not generally suffice for identification. We supplement the standard CMRs with new moments that we call â??generalizedâ?? control function moments and we show together they are sufficient for identification of all of the demand parameters. A major advantage of our setup is that it requires little more than the existence of the same instruments used in this standard IV setting. We run several monte carlos that show our approach works when the standard IV approaches fail because of non-separability. We also test and reject additive separability in the original Berry, Levinsohn, and Pakes (1995) automobile data, and we show that demand becomes significantly more elastic when the correction is applied




Interpreting Discrete Choice Models


Book Description

In discrete choice models the relationships between the independent variables and the choice probabilities are nonlinear, depending on both the value of the particular independent variable being interpreted and the values of the other independent variables. Thus, interpreting the magnitude of the effects (the “substantive effects”) of the independent variables on choice behavior requires the use of additional interpretative techniques. Three common techniques for interpretation are described here: first differences, marginal effects and elasticities, and odds ratios. Concepts related to these techniques are also discussed, as well as methods to account for estimation uncertainty. Interpretation of binary logits, ordered logits, multinomial and conditional logits, and mixed discrete choice models such as mixed multinomial logits and random effects logits for panel data are covered in detail. The techniques discussed here are general, and can be applied to other models with discrete dependent variables which are not specifically described here.







A Research Assistant's Guide to Random Coefficients Discrete Choice Models of Demand


Book Description

The study of differentiated-products markets is a central part of empirical industrial organization. Questions regarding market power, mergers, innovation, and valuation of new brands are addressed using cutting-edge econometric methods and relying on economic theory. Unfortunately, difficulty of use and computational costs have limited the scope of application of recent developments in one of the main methods for estimating demand for differentiated products: random coefficients discrete choice models. As our understanding of these models of demand has increased, both the difficulty and costs have been greatly reduced. This paper carefully discusses the latest innovations in these methods with the hope of (1) increasing the understanding, and therefore the trust, among researchers who never used these methods, and (2) reducing the difficulty of use, and therefore aiding in realizing the full potential of these methods.




Examination of the Relationship Between Demand Elasticities and Discrete Choice Estimates, with an Application to Travel Behaviour


Book Description

This thesis investigates the relationship between demand functions and discrete choice models, the specific objective being to infer ordinary demand elasticities from estimated choice elasticities. A necessary intermediate step is to uncover the relationship between conditional demand systems whereby non-transport goods are pre-allocated and conditional share systems whereby transport goods are pre-allocated. A conditional share system is applicable to the demands for a set of competing alternatives where there is a constraint on the consumption quantity for the aggregate group demand. This describes the demand implications for a population of individuals making discrete choices. The inference is appropriate to a stand alone revealed and stated preference choice model, where the aggregated choice elasticities are used to extrapolate to market share elasticities. The missing component for measuring demand responses to be used in a policy application is the generation elasticity: the marginal increase or decrease in the volume of transport activity in response to a pricing decision. The thesis develops a generation elasticity that preserves the theoretical properties of demand elasticities. The application of the developed theory is suitable for settings where the transport group elasticity is not measured by the survey instrument. Stand alone revealed and stated preference surveys only measure the switching behaviour between modes. The complete relationship under weak separability is developed for the case where elasticity of demand for the transport group is known. Otherwise to implement the theory this thesis makes use of the theoretical properties of block-additive utility functions. Frisch s money flexibility term is interpreted as the average elasticity of substitution for broad groups of commodities, including transport. Along with estimates of transport income elasticities the transport demand elasticity is computed by making an informed judgement on the magnitude of the Frisch money flexibility. The applied contribution of the thesis makes use of mode choice elasticities estimated for the 1996 Independent Pricing and Regulatory Tribunal of New South Wales. Unconditional transport elasticities are arrived at by adding a between group substitution based on an informed value of Frisch s money flexibility and income elasticities estimated using the confidential unit record files from the 1998-9 Household Expenditure Survey.