Published July 11, 2022 | Version Published + Submitted
Book Section - Chapter Open

Private Private Information

  • 1. ROR icon University of Pennsylvania
  • 2. ROR icon California Institute of Technology

Abstract

In a private private information structure, agents' signals contain no information about the signals of their peers. We study how informative such structures can be, and characterize those that are on the Pareto frontier, in the sense that it is impossible to give more information to any agent without violating privacy. In our main application, we show how to optimally disclose information about an unknown state under the constraint of not revealing anything about a correlated variable that contains sensitive information.

Additional Information

© 2022 Copyright held by the owner/author(s). Fedor Sandomirskiy was supported by the Linde Institute at Caltech and the National Science Foundation (grant CNS 1518941). Omer Tamuz was supported by a grant from the Simons Foundation (#419427), a Sloan fellowship, a BSF award (#2018397) and a National Science Foundation CAREER award (DMS-1944153).

Attached Files

Published - 3490486.3538348.pdf

Submitted - 2112.14356.pdf

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Additional details

Identifiers

Eprint ID
115372
Resolver ID
CaltechAUTHORS:20220707-170554297

Related works

Funding

Linde Institute of Economic and Management Science
NSF
CNS-1518941
Simons Foundation
419427
Alfred P. Sloan Foundation
Binational Science Foundation (USA-Israel)
2018397
NSF
DMS-1944153

Dates

Created
2022-07-07
Created from EPrint's datestamp field
Updated
2022-07-27
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department