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Identification in Differentiated Products Markets Using Market Level Data

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Abstract

We consider nonparametric identification in models of differentiated products markets, using only market level observables. On the demand side we consider a nonparametric random utility model nesting random coefficients discrete choice models widely used in applied work. We allow for product/market-specific unobservables, endogenous product characteristics (e.g., prices), and high-dimensional taste shocks with arbitrary correlation and heteroskedasticity. On the supply side we specify marginal costs nonparametrically, allow for unobserved firm heterogeneity, and nest a variety of equilibrium oligopoly models. We pursue two approaches to identification. One relies on instrumental variables conditions used previously to demonstrate identification in a nonparametric regression framework. With this approach we can show identification of the demand side without reference to a particular supply model. Adding the supply side allows identification of firms' marginal costs as well. Our second approach, more closely linked to classical identification arguments for supply and demand models, employs a change of variables approach. This leads to constructive identification results relying on exclusion and support conditions. Our results lead to a testable restriction that provides the first general formalization of Bresnahan's (1982) intuition for empirically discriminating between alternative models of oligopoly competition.

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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1744.

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Length: 55 pages
Date of creation: Jan 2010
Date of revision: Mar 2010
Handle: RePEc:cwl:cwldpp:1744

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Citations

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Cited by:
  1. Steven T. Berry & Philip A. Haile, 2009. "Nonparametric Identification of Multinomial Choice Demand Models with Heterogeneous Consumers," NBER Working Papers 15276, National Bureau of Economic Research, Inc.
  2. Ciliberto, Federico & Williams, Jonathan, 2010. "Does Multimarket Contact Facilitate Tacit Collusion? Inference on Conjectural Parameters in the Airline Industry," MPRA Paper 24888, University Library of Munich, Germany.
  3. Olivier Allais & Fabrice Etilé & Sébastien Lecocq, 2012. "Mandatory labels, taxes and market forces: An empirical evaluation of fat policies," PSE Working Papers halshs-00736556, HAL.
  4. Olivier Allais & Fabrice Etilé & Sébastien Lecocq, 2012. "Mandatory labels, taxes and market forces: An empirical evaluation of fat policies," Working Papers halshs-00736556, HAL.
  5. Aguirregabiria, Victor & Nevo, Aviv, 2010. "Recent developments in empirical IO: dynamic demand and dynamic games," MPRA Paper 27814, University Library of Munich, Germany.
  6. Steven T. Berry & Philip A. Haile, 2009. "Identification of a Heterogeneous Generalized Regression Model with Group Effects," Cowles Foundation Discussion Papers 1732, Cowles Foundation for Research in Economics, Yale University.

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