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Single market non-parametric identification of multi-attribute hedonic equilibrium models

Author

Listed:
  • Victor Chernozhukov

    (Institute for Fiscal Studies and MIT)

  • Alfred Galichon

    (Institute for Fiscal Studies and NYU)

  • Marc Henry

    (Institute for Fiscal Studies and Universite de Montreal)

  • Brendan Pass

    (Institute for Fiscal Studies)

Abstract

This paper derives conditions under which preferences and technology are nonparametrically identi?ed in hedonic equilibrium models, where products are di?erentiated along more than one dimension and agents are characterized by several dimensions of unobserved heterogeneity. With products di?erentiated along a quality index and agents characterized by scalar unobserved heterogeneity, single crossing conditions on preferences and technology provide identifying restrictions. We develop similar shape restrictions in the multi-attribute case. These shape restrictions, which are based on optimal transport theory and generalized convexity, allow us to identify preferences for goods di?erentiated along multiple dimensions, from the observation of a single market. We thereby extend identi?cation results in Matzkin (2003) and Heckman, Matzkin, and Nesheim (2010) to accommodate multiple dimensions of unobserved heterogeneity. One of our results is a proof of absolute continuity of the distribution of endogenously traded qualities, which is of independent interest.

Suggested Citation

  • Victor Chernozhukov & Alfred Galichon & Marc Henry & Brendan Pass, 2019. "Single market non-parametric identification of multi-attribute hedonic equilibrium models," CeMMAP working papers CWP27/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:27/19
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    References listed on IDEAS

    as
    1. Arnaud Dupuy & Alfred Galicho & Marc Henry, 2014. "Entropy methods for identifying hedonic models," Working Papers 2014/21, Maastricht School of Management.
    2. Ivar Ekeland & James J. Heckman & Lars Nesheim, 2004. "Identification and Estimation of Hedonic Models," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 60-109, February.
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    Cited by:

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    2. Odran Bonnet & Alfred Galichon & Yu-Wei Hsieh & Keith O’Hara & Matt Shum, 2022. "Yogurts Choose Consumers? Estimation of Random-Utility Models via Two-Sided Matching," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(6), pages 3085-3114.
    3. Pierre-André Chiappori & Bernard Salanié, 2016. "The Econometrics of Matching Models," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 832-861, September.
    4. Florian Gunsilius, 2018. "Point-identification in multivariate nonseparable triangular models," Papers 1806.09680, arXiv.org.
    5. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.

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    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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