Privacy-Preserving Signals

IF 6.6 1区经济学 Q1 ECONOMICS

Econometrica Pub Date : 2024-11-21 DOI:10.3982/ECTA22017

Philipp Strack, Kai Hao Yang

引用次数: 0

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. Furthermore, distributions of posterior means induced by privacy-preserving signals are exactly mean-preserving contractions of that induced by the quantile signal. We discuss the economic implications of our characterization for statistical discrimination, the revelation of sensitive information in auctions and price discrimination.

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保护隐私的信号

如果在任何信号实现的条件下，分配给每个隐私集的后验概率保持不变，那么对于隐私集集合来说，该信号就是隐私保护信号。我们对任意状态空间和任意隐私集的隐私保护信号进行了描述。当且仅当一个信号是重新排序的量子信号的乱码时，它才是隐私保护信号。此外，隐私保护信号诱导的后验均值分布正是量化信号诱导的均值保护收缩。我们将讨论我们的描述对统计歧视、拍卖中敏感信息的揭示和价格歧视的经济影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Econometrica 社会科学-数学跨学科应用

CiteScore

11.00

自引率

3.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Econometrica publishes original articles in all branches of economics - theoretical and empirical, abstract and applied, providing wide-ranging coverage across the subject area. It promotes studies that aim at the unification of the theoretical-quantitative and the empirical-quantitative approach to economic problems and that are penetrated by constructive and rigorous thinking. It explores a unique range of topics each year - from the frontier of theoretical developments in many new and important areas, to research on current and applied economic problems, to methodologically innovative, theoretical and applied studies in econometrics. Econometrica maintains a long tradition that submitted articles are refereed carefully and that detailed and thoughtful referee reports are provided to the author as an aid to scientific research, thus ensuring the high calibre of papers found in Econometrica. An international board of editors, together with the referees it has selected, has succeeded in substantially reducing editorial turnaround time, thereby encouraging submissions of the highest quality. We strongly encourage recent Ph. D. graduates to submit their work to Econometrica. Our policy is to take into account the fact that recent graduates are less experienced in the process of writing and submitting papers.