# Private Private Information

@article{He2021PrivatePI, title={Private Private Information}, author={Kevin He and Fedor Sandomirskiy and Omer Tamuz}, journal={ArXiv}, year={2021}, volume={abs/2112.14356} }

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…

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## References

SHOWING 1-10 OF 43 REFERENCES

Infinite Dimensional Analysis: A Hitchhiker’s Guide

- Economics
- 1994

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast…

Correlated Equilibrium in Two-Person Zero-Sum Games

- Mathematics
- 1990

but any convex combination of pairs of optimal strategies such that p(2, 2) = 0 satisfies p(1, 1) > 2 (with the obvious notation p(i, j) for the induced probability of row i and column j). However,…

Sets Uniquely Determined by Projections on Axes I

- Mathematics
- 1990

This paper studies sets S in $\mathbb{R}''$ which are uniquely reconstructible from their hyperplane integral projections $P_i ( {x_i ;S} ) = \iint { \cdots \int {\chi _S } }( {x_1 , \cdots ,x_i ,…

Uniqueness in bounded moment problems

- Mathematics
- 1993

Let (X, U, μ) be a σ-finite measure space and K be a linear subspace of L 1 (μ) with supp K = X. The following inverse problem istreated: Which sets A ∈ U are «K-determined» within the class of all…

Existence of Probability Measures With Given Marginals

- Mathematics
- 1991

We show that if $f$ is a probability density on $R^n$ wrt Lebesgue measure (or any absolutely continuous measure) and $0 \leq f \leq 1$, then there is another density $g$ with only the values 0 and 1…

On the existence of probability measures with given marginals

- Mathematics
- 1978

© Annales de l’institut Fourier, 1978, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions…

Feasible Joint Posterior Beliefs

- Economics, MathematicsEC
- 2020

A quantitative version of Aumann's Agreement Theorem provides a necessary and sufficient condition for feasibility for the two-agent case and for any number of agents, a related "no-trade" condition likewise provides a characterization of feasibility.

Cheating with Models

- EconomicsAmerican Economic Review: Insights
- 2021

Beliefs and decisions are often based on confronting models with data. What is the largest “fake” correlation that a misspecified model can generate, even when it passes an elementary…