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Estimating Models of Supply and Demand: Instruments and Covariance Restrictions

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  • Alexander MacKay
  • Nathan H. Miller

Abstract

We consider the identification of empirical models of supply and demand with imperfect competition. We show that a restriction on the covariance between unobserved demand and cost shocks can resolve endogeneity and identify the price parameter. We demonstrate how to employ this approach in estimation, and we compare it to the method of instrumental variables. Our formal results also indicate that weaker covariance restrictions can bound the price parameter. We illustrate the covariance restriction approach with applications to ready-to-eat cereal, cement, and airlines.

Suggested Citation

  • Alexander MacKay & Nathan H. Miller, 2025. "Estimating Models of Supply and Demand: Instruments and Covariance Restrictions," American Economic Journal: Microeconomics, American Economic Association, vol. 17(1), pages 238-281, February.
  • Handle: RePEc:aea:aejmic:v:17:y:2025:i:1:p:238-81
    DOI: 10.1257/mic.20230024
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    More about this item

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L61 - Industrial Organization - - Industry Studies: Manufacturing - - - Metals and Metal Products; Cement; Glass; Ceramics
    • L66 - Industrial Organization - - Industry Studies: Manufacturing - - - Food; Beverages; Cosmetics; Tobacco
    • L93 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Air Transportation

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