For multi-valued treatments, treatment responses are claimed point identified when a leading term has full rank and set identified under a ranked-treatment monotonicity assumption, but the proof as written has load-bearing gaps.
(2007): Large sample sieve estimation of semi-nonparametric models, Handbook of econometrics, 6, 5549--5632
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Treatment Effects of Multi-Valued Treatments in Hyper-Rectangle Model
For multi-valued treatments, treatment responses are claimed point identified when a leading term has full rank and set identified under a ranked-treatment monotonicity assumption, but the proof as written has load-bearing gaps.