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Fast, "robust", and approximately correct: estimating mixed demand systems

Author

Listed:
  • Bernard Salanie

    (Institute for Fiscal Studies and Columbia)

  • Frank A. Wolak

    (Institute for Fiscal Studies)

Abstract
Many econometric models used in applied work integrate over unobserved heterogeneity. We show that a class of these models that includes many random coefficients demand systems can be approximated by a "small-sigma" expansion that yields a straightforward 2SLS estimator. We study in detail the models of market shares popular in empirical IO ("macro BLP"). Our estimator is only approximately correct, but it performs very well in practice. It is extremely fast and easy to implement, and it accommodates to misspecifi cations in the higher moments of the distribution of the random coefficients. At the very least, it provides excellent starting values for more commonly used estimators of these models.

Suggested Citation

  • Bernard Salanie & Frank A. Wolak, 2018. "Fast, "robust", and approximately correct: estimating mixed demand systems," CeMMAP working papers CWP64/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:64/18
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    References listed on IDEAS

    as
    1. Reynaert, Mathias & Verboven, Frank, 2014. "Improving the performance of random coefficients demand models: The role of optimal instruments," Journal of Econometrics, Elsevier, vol. 179(1), pages 83-98.
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    Cited by:

    1. Mayer, Thierry & Head, Keith, 2021. "Poor Substitutes? Counterfactual methods in IO and Trade compared," CEPR Discussion Papers 16762, C.E.P.R. Discussion Papers.
    2. Roy Allen & John Rehbeck, 2020. "Counterfactual and Welfare Analysis with an Approximate Model," Papers 2009.03379, arXiv.org.
    3. Siying Ding & Ahmad Lashkaripour & Volodymyr Lugovskyy, 2024. "A Global Perspective on the Incidence of Monopoly Distortions," CESifo Working Paper Series 11211, CESifo.
    4. Christopher Conlon & Jeff Gortmaker, 2020. "Best practices for differentiated products demand estimation with PyBLP," RAND Journal of Economics, RAND Corporation, vol. 51(4), pages 1108-1161, December.
    5. Taburet, Arthur & Polo, Alberto & Vo, Quynh-Anh, 2024. "Screening using a menu of contracts: a structural model of lending markets," Bank of England working papers 1057, Bank of England.

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    More about this item

    JEL classification:

    • L00 - Industrial Organization - - General - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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