arXiv 15 Aug 2019 · Econometrics · publishedEconomics Letters (2022) · 1 citations (OpenAlex)
arXiv:1908.05714 · PDF · DOI · OpenAlex · Extracted main text
Establishing that a demand mapping is injective is core first step for a variety of methodologies. When a version of the law of demand holds, global injectivity can be checked by seeing whether the demand mapping is constant over any line segments. When we add the assumption of differentiability, we obtain necessary and sufficient conditions for injectivity that generalize classical \cite{gale1965jacobian} conditions for quasi-definite Jacobians.
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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 | David Gale and Hukukane Nikaido (1965) The jacobian matrix and global univalence of mappings | 0.977 | 15 | 7 | 93% |
| 2 | Steven Berry, Amit Gandhi, and Philip Haile (2013) Connected substitutes and invertibility of demand | 0.971 | 12 | 4 | 92% |
| 3 | Donald J Brown and Rosa Liliana Matzkin (1998) Estimation of nonparametric functions in simultaneous equations models, with an application to consumer demand | 0.874 | 5 | 2 | 100% |
| 4 | Daniel McFadden (1981) Econometric models of probabilistic choice | 0.737 | 3 | 2 | 100% |
| 5 | R Tyrrell Rockafellar (1970) Convex Analysis | 0.737 | 3 | 2 | 100% |
| 6 | Richard Blundell, Dennis Kristensen, Rosa Matzkin, et al (2017) Individual counterfactuals with multidimensional unobserved heterogeneity | 0.644 | 2 | 2 | 100% |
| 7 | Gábor Kassay, Cornel Pintea, and Ferenc Szenkovits (2009) On convexity of preimages of monotone operators | 0.644 | 2 | 2 | 100% |
| 8 | R Tyrrell Rockafellar and Roger J-B Wets (2009) Variational analysis, volume 317 | 0.644 | 2 | 2 | 100% |
| 9 | Roy Allen and John Rehbeck (2019) Identification with additively separable heterogeneity self | 0.585 | 3 | 1 | 100% |
| 10 | J Moré and Werner Rheinboldt (1973) On p-and s-functions and related classes of n-dimensional nonlinear mappings | 0.511 | 4 | 2 | 25% |
Showing the top 10 of 37 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Identification of Random Coefficient Latent Utility Models | 0.405 | 1 | 1 |