{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T08:49:09Z","timestamp":1785919749409,"version":"3.56.0"},"reference-count":34,"publisher":"Cambridge University Press (CUP)","license":[{"start":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T00:00:00Z","timestamp":1785888000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"abstract":"<jats:p>\n                    Consider a setup in which a decision maker is informed about the population by a finite sample and, based on that sample, has to decide whether or not to apply a certain treatment. We work out finite sample minimax regret treatment rules under various sampling schemes when potential outcomes are restricted onto the unit interval. In contrast to Stoye (2009,\n                    <jats:italic>Journal of Econometrics<\/jats:italic>\n                    151, 70\u201381), where the focus is on the maximization of expected utility, the focus here is instead on a particular quantile of the outcome distribution. We find that in the case where the sample consists of a fixed number of untreated and a fixed number of treated units, any treatment rule is minimax regret optimal. The same is true in the case of random treatment assignment in the sample with any assignment probability and in the case of testing an innovation when the known quantile of the untreated population equals 1\/2. However, if the known quantile exceeds 1\/2, then never treating is the unique optimal rule, and if it is smaller than 1\/2, always treating is optimal. We also consider the case where a covariate is included.\n                  <\/jats:p>","DOI":"10.1017\/s0266466626100498","type":"journal-article","created":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T08:15:57Z","timestamp":1785917757000},"page":"1-36","source":"Crossref","is-referenced-by-count":0,"title":["MINIMAX REGRET TREATMENT RULES WITH FINITE SAMPLES WHEN A QUANTILE IS THE OBJECT OF INTEREST"],"prefix":"10.1017","author":[{"given":"Patrik","family":"Guggenberger","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04p491231","id-type":"ROR","asserted-by":"publisher"}],"name":"Pennsylvania State University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nihal","family":"Mehta","sequence":"additional","affiliation":[{"name":"Keystone Strategy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nikita","family":"Pavlov","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04p491231","id-type":"ROR","asserted-by":"publisher"}],"name":"Pennsylvania State University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2026,8,5]]},"reference":[{"key":"S0266466626100498_r26","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466607070089"},{"key":"S0266466626100498_r19","doi-asserted-by":"publisher","DOI":"10.1007\/s42973-023-00147-0"},{"key":"S0266466626100498_r15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00129169"},{"key":"S0266466626100498_r11","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.3982\/ECTA6630","article-title":"Asymptotics for statistical treatment rules","volume":"77","author":"Hirano","year":"2009","journal-title":"Econometrica"},{"key":"S0266466626100498_r30","doi-asserted-by":"publisher","DOI":"10.2307\/1969022"},{"key":"S0266466626100498_r5","doi-asserted-by":"publisher","DOI":"10.1093\/restud\/rdag017"},{"key":"S0266466626100498_r4","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466625000040"},{"key":"S0266466626100498_r8","unstructured":"Guggenberger, P. , & Huang, J. (2025). On the numerical approximation of minimax regret rules via fictitious play. Unpublished working paper, Pennsylvania State University."},{"key":"S0266466626100498_r6","first-page":"171","article-title":"\u201cContributi all\u2019analisi Sequenziale nel Controllo di Accettazione per Variabili\u201d","volume":"6","author":"Cucconi","year":"1968","journal-title":"Atti dell\u2019 Associazione Italiana per il Controllo della Qualit\u00e0"},{"key":"S0266466626100498_r23","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-937X.2009.00564.x"},{"key":"S0266466626100498_r31","doi-asserted-by":"publisher","DOI":"10.2307\/1905331"},{"key":"S0266466626100498_r18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2006.06.037"},{"key":"S0266466626100498_r9","first-page":"33","volume-title":"Nonparametric statistics and related topics","author":"Gupta","year":"1992"},{"key":"S0266466626100498_r2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4286-2"},{"key":"S0266466626100498_r17","doi-asserted-by":"publisher","DOI":"10.1007\/s42973-023-00145-2"},{"key":"S0266466626100498_r27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2009.02.013"},{"key":"S0266466626100498_r33","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1330204"},{"key":"S0266466626100498_r32","volume-title":"Statistical decision functions","author":"Wald","year":"1950"},{"key":"S0266466626100498_r3","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9965.2009.00369.x"},{"key":"S0266466626100498_r10","unstructured":"Hirano, K. (2026). Wald\u2019s statistical decision theory for policy analysis and adaptive experiments. In preparation for the ES monograph series\" let's write \"Unpublished working paper, Pennsylvania State University. Available at https:\/\/keihirano.github.io\/papers\/eswc.pdf."},{"key":"S0266466626100498_r16","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-0262.2004.00530.x"},{"key":"S0266466626100498_r1","doi-asserted-by":"publisher","DOI":"10.1145\/3736252.3742598"},{"key":"S0266466626100498_r12","unstructured":"Huang, J. , & Guggenberger, P. (2025). On minimax regret rules with pilot data. Unpublished working paper, Pennsylvania State University."},{"key":"S0266466626100498_r21","doi-asserted-by":"publisher","DOI":"10.1137\/18M1190975"},{"key":"S0266466626100498_r22","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2022.2038180"},{"key":"S0266466626100498_r24","unstructured":"Schlag, K. (2003). How to minimize maximum regret under repeated decision-making. EUI working paper."},{"key":"S0266466626100498_r25","unstructured":"Schlag, K. (2006). ELEVEN\u2014Tests needed for a recommendation. EUI working paper, ECO No. 2006\/2."},{"key":"S0266466626100498_r28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2011.06.012"},{"key":"S0266466626100498_r29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2011.06.013"},{"key":"S0266466626100498_r14","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA13288"},{"key":"S0266466626100498_r34","unstructured":"Yata, K. (2023). Optimal decision rules under partial identification. Unpublished working paper."},{"key":"S0266466626100498_r20","doi-asserted-by":"publisher","DOI":"10.1093\/restud\/rdag015"},{"key":"S0266466626100498_r13","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/asag008"},{"key":"S0266466626100498_r7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2025.106161"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466626100498","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T08:16:02Z","timestamp":1785917762000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466626100498\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,5]]},"references-count":34,"alternative-id":["S0266466626100498"],"URL":"https:\/\/doi.org\/10.1017\/s0266466626100498","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,5]]}}}