{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,29]],"date-time":"2026-08-29T00:57:09Z","timestamp":1787965029970,"version":"build-2784847793"},"reference-count":51,"publisher":"The Econometric Society","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ECTA"],"abstract":"<jats:p>\n                    A signal is\n                    <jats:italic>privacy\u2010preserving<\/jats:italic>\n                    with respect to a collection of\n                    <jats:italic>privacy sets<\/jats:italic>\n                    if the posterior probability assigned to every privacy set remains unchanged conditional on any signal realization. We characterize the privacy\u2010preserving signals for arbitrary state space and arbitrary privacy sets. A signal is privacy\u2010preserving if and only if it is a garbling of a\n                    <jats:italic>reordered quantile signal<\/jats:italic>\n                    . Furthermore, distributions of posterior means induced by privacy\u2010preserving signals are exactly mean\u2010preserving contractions of that induced by the\n                    <jats:italic>quantile signal<\/jats:italic>\n                    . We discuss the economic implications of our characterization for statistical discrimination, the revelation of sensitive information in auctions and price discrimination.\n                  <\/jats:p>","DOI":"10.3982\/ecta22017","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T09:21:59Z","timestamp":1732008119000},"page":"1907-1938","source":"Crossref","is-referenced-by-count":10,"title":["Privacy\u2010Preserving Signals"],"prefix":"10.3982","volume":"92","author":[{"given":"Philipp","family":"Strack","sequence":"first","affiliation":[{"name":"Department of Economics, Yale University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kai Hao","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Management, Yale University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2359","published-online":{"date-parts":[[2024]]},"reference":[{"issue":"1","key":"ecta200729-bib-0001","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1093\/qje\/qjab024","volume":"137","author":"Ali","year":"2022","journal-title":"Quarterly Journal of Economics"},{"issue":"1","key":"ecta200729-bib-0002","doi-asserted-by":"crossref","first-page":"15","DOI":"10.3982\/TE4663","volume":"18","author":"Arieli","year":"2023","journal-title":"Theoretical Economics"},{"key":"ecta200729-bib-0003","volume-title":"Fairness and Machine Learning: Limitations and Oppurtunities","author":"Barocas","year":"2019"},{"issue":"3","key":"ecta200729-bib-0004","doi-asserted-by":"crossref","first-page":"921","DOI":"10.1257\/aer.20130848","volume":"105","author":"Bergemann","year":"2015","journal-title":"American Economic Review"},{"issue":"3","key":"ecta200729-bib-0005","first-page":"371","volume":"4","author":"Bergemann","year":"2022","journal-title":"American Economic Review: Insights"},{"key":"ecta200729-bib-0006","unstructured":"Bergemann, Dirk, Tibor Heumann, and Stephen Morris (2023): \u201cScreening With Persuasion,\u201d Working Paper."},{"key":"ecta200729-bib-0007","unstructured":"Bergemann, Dirk, Tibor Heumann, and Stephen Morris (2024): \u201cBidder-Optimal Information Structures in Auctions,\u201d Working Paper."},{"issue":"2","key":"ecta200729-bib-0008","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1214\/aoms\/1177729032","volume":"24","author":"Blackwell","year":"1953","journal-title":"Annals of Mathematical Statistics"},{"key":"ecta200729-bib-0009","unstructured":"Bohren, J. 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