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Center for Social Information Sciences (CSIS) Seminar

Friday, November 3, 2023
12:00pm to 1:00pm
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Baxter 127
Privacy Preserving Signal
Kai Hao Yang, Assistant Professor, School of Management, Yale University,

Abstract: A signal is privacy-preserving with respect to a collection of privacy sets, if the posterior probability assigned to every privacy set remains unchanged conditional on any signal realization. We characterize the privacy-preserving signals for arbitrary state space and arbitrary privacy sets. A signal is privacy-preserving if and only if it is a garbling of a reordered quantile signal. These signals are equivalent to couplings, which in turn lead to a characterization of optimal privacy-preserving signals for a decision-maker. We demonstrate the applications of this characterization in the contexts of algorithmic fairness, price discrimination, and information design.

For more information, please contact Letty Diaz by phone at 626-395-1255 or by email at [email protected].