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These superficially appear to be different approaches to closely related problems. We extensively analyze their relation. Among other things, we show that for partial identification through pure moment inequalities, numerous assumptions from the literature essentially coincide with the Mangasarian\u2013Fromowitz constraint qualification. This clarifies the relation between well-known contributions, including within econometrics, and elucidates stringency, as well as ease of verification, of some high-level assumptions in seminal papers.<\/jats:p>","DOI":"10.1017\/s0266466621000207","type":"journal-article","created":{"date-parts":[[2021,6,4]],"date-time":"2021-06-04T05:00:30Z","timestamp":1622782830000},"page":"596-619","source":"Crossref","is-referenced-by-count":8,"title":["CONSTRAINT QUALIFICATIONS IN PARTIAL IDENTIFICATION"],"prefix":"10.1017","volume":"38","author":[{"given":"Hiroaki","family":"Kaido","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Francesca","family":"Molinari","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J\u00f6rg","family":"Stoye","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2021,6,4]]},"reference":[{"key":"S0266466621000207_r2","doi-asserted-by":"publisher","DOI":"10.3386\/w26374"},{"key":"S0266466621000207_r19","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9469.00100"},{"key":"S0266466621000207_r16","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA14075"},{"key":"S0266466621000207_r22","unstructured":"Pakes, A. , Porter, J. , Ho, K. , & Ishii, J. 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