Victor Chernozhukov, Alfred Galichon, Marc Henry, Brendan Pass
arXiv 27 Sep 2017 · Econometrics · publishedJournal of Political Economy (2020) · 6 citations (OpenAlex)
arXiv:1709.09570 · PDF · DOI · OpenAlex · Extracted main text
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 in Ekeland, Heckman and Nesheim (2004) and Heckman, Matzkin and Nesheim (2010). 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 differentiated along multiple dimensions, from the observation of a single market. We thereby derive nonparametric identification results for nonseparable simultaneous equations and multi-attribute hedonic equilibrium models with (possibly) 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.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | J. Heckman, R. Matzkin, and L. Nesheim (2010) Nonparametric identification and estimation of nonadditive hedonic models | 1.000 | 14 | 4 | 100% |
| 2 | R. Matzkin (2003) Nonparametric estimation of nonadditive random functions | 1.000 | 8 | 4 | 100% |
| 3 | I. Ekeland, J. Heckman, and L. Nesheim (2004) Identification and estimation of hedonic models | 1.000 | 8 | 3 | 100% |
| 4 | P.-A. Chiappori, R. McCann, and L. Nesheim (2010) Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness | 0.920 | 9 | 5 | 78% |
| 5 | X. Ma, N. Trudinger, and X. Wang (2005) Regularity of potential functions of the optimal transportation problem | 0.874 | 5 | 2 | 100% |
| 6 | I. Ekeland (2010) Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types | 0.843 | 4 | 3 | 75% |
| 7 | C. Villani (2009) Optimal Transport | 0.737 | 15 | 5 | 40% |
| 8 | V. Chernozhukov, A. Galichon, M. Henry, and B. Pass (2020) Regularity of equilibrium price and product distribution in hedonic models | 0.737 | 15 | 4 | 40% |
| 9 | I. Ekeland, A. Galichon, and M. Henry (2012) Comonotone measures of multivariate risks | 0.737 | 3 | 2 | 100% |
| 10 | A. Galichon and M. Henry (2012) Dual theory of choice under multivariate risks | 0.737 | 3 | 2 | 100% |
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