arXiv 31 Jan 2025 · Econometrics
arXiv:2501.18923 · PDF · DOI · OpenAlex · Extracted main text
Slutsky symmetry and negative semidefiniteness are necessary and sufficient conditions for the rationality of demand functions. While the empirical implications of Slutsky negative semidefiniteness in repeated cross-sectional demand data are well understood, the empirical content of Slutsky symmetry remains largely unexplored. This paper takes an important first step toward addressing this gap. We demonstrate that the average Slutsky matrix is not identified and that its identified set always contains a symmetric matrix. A key implication of our findings is that the symmetry of the average Slutsky matrix is untestable, and consequently, individual Slutsky symmetry cannot be tested using the average Slutsky matrix.
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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 | Dette, Holger, Hoderlein, Stefan, Neumeyer, Natalie (2016) Testing multivariate economic restrictions using quantiles: the example of Slutsky negative semidefiniteness | 0.874 | 6 | 2 | 100% |
| 2 | Gunsilius, Florian, Sithole, Lonjezo (2025) A Nonparametric Test of Slutsky Symmetry | 0.737 | 3 | 2 | 100% |
| 3 | Maes, Sebastiaan, Malhotra, Raghav (2024) Beyond the Mean: Testing Consumer Rationality through Higher Moments of Demand | 0.737 | 3 | 2 | 100% |
| 4 | Hausman, Jerry A, Newey, Whitney K (2016) Individual heterogeneity and average welfare | 0.585 | 3 | 1 | 100% |
| 5 | Hoderlein, Stefan (2011) How many consumers are rational? | 0.585 | 3 | 1 | 100% |
| 6 | Lewbel, Arthur (2001) Demand Systems with and without Errors | 0.585 | 3 | 1 | 100% |
| 7 | Haag, Berthold R, Hoderlein, Stefan, Pendakur, Krishna (2009) Testing and imposing Slutsky symmetry in nonparametric demand systems | 0.511 | 2 | 1 | 100% |
| 8 | Hurwicz, Leonid, Uzawa, Hirofumi (1971) On the integrability of demand functions | 0.511 | 2 | 1 | 100% |
| 9 | Bhattacharya, Debopam (2025) Integrability and identification in multinomial choice models | 0.405 | 1 | 1 | 100% |
| 10 | Kitamura, Yuichi, Stoye, Jörg (2018) Nonparametric analysis of random utility models | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 22 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Nonparametric Testability of Slutsky Symmetry footnote-1 | 0.405 | 1 | 1 |