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In such cases, researchers often choose to focus on a particular subset of equilibria for counterfactual analysis, but this choice can be hard to justify. This paper shows that some parameter values can be more \u201cdesirable\u201d than others for counterfactual analysis, even if they are empirically equivalent given the data. In particular, within the identified set, some counterfactual predictions can exhibit more robustness than others against local perturbations of the reduced forms (e.g., the equilibrium selection rule). We provide a representation of this subset, which can be used to simplify the implementation. We illustrate our message using moment inequality models and provide an empirical application based on a model with top coded data.<\/jats:p>","DOI":"10.1002\/jae.2819","type":"journal-article","created":{"date-parts":[[2021,4,29]],"date-time":"2021-04-29T15:01:22Z","timestamp":1619708482000},"page":"416-436","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Counterfactual analysis under partial identification using locally robust refinement"],"prefix":"10.1002","volume":"36","author":[{"given":"Nathan","family":"Canen","sequence":"first","affiliation":[{"name":"Department of Economics University of Houston  Houston Texas USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kyungchul","family":"Song","sequence":"additional","affiliation":[{"name":"Vancouver School of Economics University of British Columbia  Vancouver British Columbia Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2021,5,17]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1756-2171.2006.tb00040.x"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139060035.003"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA7502"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA9370"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1093\/qje\/qjx023"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA16768"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.3982\/QE1609"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/07350015.2013.794731"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1257\/000282805774670130"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-937X.2004.00299.x"},{"key":"e_1_2_8_12_1","doi-asserted-by":"crossref","unstructured":"Bonhomme S. &Weidner M.(2020).Minimizing sensitivity to model misspecification. arXiv preprint arXiv:1807.02161.","DOI":"10.1920\/wp.cem.2020.3720"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(91)90032-9"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1257\/aer.101.6.2754"},{"key":"e_1_2_8_15_1","unstructured":"Christensen T. &Connault B.(2019).Counterfactual sensitivity and robustness. arXiv preprint arXiv:1904.00989."},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA5368"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780190619725.003.0010"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1093\/restud\/rdu004"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(88)90009-9"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4068(89)90018-9"},{"key":"e_1_2_8_21_1","doi-asserted-by":"publisher","DOI":"10.1086\/344801"},{"key":"e_1_2_8_22_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466605050048"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1257\/aer.91.2.60"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1214\/16-STS570"},{"key":"e_1_2_8_25_1","doi-asserted-by":"publisher","DOI":"10.1162\/003355300554674"},{"key":"e_1_2_8_26_1","doi-asserted-by":"publisher","DOI":"10.1086\/698760"},{"key":"e_1_2_8_27_1","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA6649"},{"key":"e_1_2_8_28_1","unstructured":"Jun S. 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