Artikel

Bayesian privacy

Modern information technologies make it possible to store, analyze, and trade unprecedented amounts of detailed information about individuals. This has led to public discussions on whether individuals' privacy should be better protected by restricting the amount or the precision of information that is collected by commercial institutions on their participants. We contribute to this discussion by proposing a Bayesian approach to measure loss of privacy in a mechanism. Specifically, we define the loss of privacy associated with a mechanism as the difference between the designer's prior and posterior beliefs about an agent's type, where this difference is calculated using Kullback-Leibler divergence, and where the change in beliefs is triggered by actions taken by the agent in the mechanism. We consider both ex post (for every realized type, the maximal difference in beliefs cannot exceed some threshold K ) and ex ante (the expected difference in beliefs over all type realizations cannot exceed some threshold K ) measures of privacy loss. Applying these notions to the monopolistic screening environment of Mussa and Rosen (1978), we study the properties of optimal privacy-constrained mechanisms and the relation between welfare/profits and privacy levels.

Language
Englisch

Bibliographic citation
Journal: Theoretical Economics ; ISSN: 1555-7561 ; Volume: 16 ; Year: 2021 ; Issue: 4 ; Pages: 1557-1603 ; New Haven, CT: The Econometric Society

Classification
Wirtschaft
Market Design
Asymmetric and Private Information; Mechanism Design
Subject
Privacy
mechanism-design
relative entropy

Event
Geistige Schöpfung
(who)
Eilat, Ran
Eliaz, Kfir
Mu, Xiaosheng
Event
Veröffentlichung
(who)
The Econometric Society
(where)
New Haven, CT
(when)
2021

DOI
doi:10.3982/TE4390
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Eilat, Ran
  • Eliaz, Kfir
  • Mu, Xiaosheng
  • The Econometric Society

Time of origin

  • 2021

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