Haoge Chang, Yusuke Narita, Kota Saito
arXiv 4 May 2022 · Theoretical Economics · 1 citations (OpenAlex)
arXiv:2205.01882 · PDF · DOI · OpenAlex · Extracted main text
We obtain a necessary and sufficient condition under which random-coefficient discrete choice models, such as mixed-logit models, are rich enough to approximate any nonparametric random utility models arbitrarily well across choice sets. The condition turns out to be the affine-independence of the set of characteristic vectors. When the condition fails, resulting in some random utility models that cannot be closely approximated, we identify preferences and substitution patterns that are challenging to approximate accurately. We also propose algorithms to quantify the magnitude of approximation errors.
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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 | McFadden, D. and K. Train (2000) Mixed MNL Models for Discrete Response | 0.965 | 10 | 4 | 90% |
| 2 | Barron, A. R., A. Cohen, W. Dahmen, and R. A. DeVore (2008) Approximation and Learning by Greedy Algorithms | 0.737 | 3 | 3 | 67% |
| 3 | Block, H. D. and J. Marschak (1960) Random Orderings and Stochastic Theories of Responses | 0.737 | 3 | 3 | 67% |
| 4 | Dempster, A. P., N. M. Laird, and D. B. Rubin (1977) Maximum Likelihood from Incomplete Data via the EM Algorithm | 0.737 | 3 | 3 | 67% |
| 5 | Norets, A. and S. Takahashi (2013) On the Surjectivity of the Mapping between Utilities and Choice Probabilities | 0.737 | 3 | 3 | 67% |
| 6 | Thomson, C. J. and S. J. Crooke (1991) Results of the Southern California Sportfish Economic Survey | 0.737 | 3 | 3 | 67% |
| 7 | Allen, R. and J. Rehbeck (2020) Hicksian Complementarity and Perturbed Utility Models | 0.644 | 2 | 2 | 100% |
| 8 | Chen, X (2007) Large Sample Sieve Estimation of Semi-nonparametric Models | 0.644 | 2 | 2 | 100% |
| 9 | Horan, S. and A. Adam (2023) Slutsky Patterns of Substitution in Discrete Choice, Working Paper | 0.644 | 2 | 2 | 100% |
| 10 | Herriges, J. A. and C. L. Kling (1999) Nonlinear Income Effects in Random Utility Models | 0.511 | 3 | 2 | 33% |
Showing the top 10 of 57 scored citations.