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Single Market Nonparametric Identification of Multi-Attribute Hedonic Equilibrium Models

Author

Listed:
  • Victor Chernozhukov

    (MIT Department of Economics)

  • Alfred Galichon

    (Département d'économie)

  • Marc Henry

    (Départment de sciences économiques)

  • Brendan, Department Of Mathematics Pass

    (Department of Mathematics and Statistical Sciences)

Abstract

This paper derives conditions under which preferences and technology are nonparametrically identified in hedonic equilibrium models, where products are differentiated along more than one dimension and agents are characterized by several dimensions of unobserved heterogeneity. With products differentiated 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 and we provide identification results from the observation of a single market. We thereby extend identification results in Matzkin (2003) and Heckman, Matzkin, and Nesheim (2010) to accommodate multiple dimensions of unobserved heterogeneity.

Suggested Citation

  • Victor Chernozhukov & Alfred Galichon & Marc Henry & Brendan, Department Of Mathematics Pass, 2014. "Single Market Nonparametric Identification of Multi-Attribute Hedonic Equilibrium Models," Sciences Po publications info:hdl:2441/4kovgv3hs88, Sciences Po.
  • Handle: RePEc:spo:wpmain:info:hdl:2441/4kovgv3hs883bok2tvdkibejb6
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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. Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 317-354, February.
    3. Epple, Dennis, 1987. "Hedonic Prices and Implicit Markets: Estimating Demand and Supply Functions for Differentiated Products," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 59-80, February.
    4. Patrick Bajari & C. Lanier Benkard, 2005. "Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1239-1276, December.
    5. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    6. Kelly C. Bishop & Christopher Timmins, 2011. "Hedonic Prices and Implicit Markets: Estimating Marginal Willingness to Pay for Differentiated Products Without Instrumental Variables," NBER Working Papers 17611, National Bureau of Economic Research, Inc.
    7. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    8. Ivar Ekeland, 2010. "Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 275-315, February.
    9. Bartik, Timothy J, 1987. "The Estimation of Demand Parameters in Hedonic Price Models," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 81-88, February.
    10. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Dmitry Arkhangelsky, 2019. "Dealing with a Technological Bias: The Difference-in-Difference Approach," Working Papers wp2019_1903, CEMFI.
    2. 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.
    3. Florian Gunsilius, 2018. "Point-identification in multivariate nonseparable triangular models," Papers 1806.09680, arXiv.org.
    4. 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

    Keywords

    Hedonic Equilibrium; Nonparametric Identification; Multidimensional Unobserved Heterogeneity; Optimal Transport;
    All these keywords.

    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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