Data Sharing with Endogenous Choices over Differential Privacy Levels

Fuente: arXiv
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Autori principali: Bassily, Raef, Donahue, Kate, Sen, Diptangshu, Zhao, Annuo, Ziani, Juba
Natura: Preprint
Pubblicazione: 2026
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author Bassily, Raef
Donahue, Kate
Sen, Diptangshu
Zhao, Annuo
Ziani, Juba
author_facet Bassily, Raef
Donahue, Kate
Sen, Diptangshu
Zhao, Annuo
Ziani, Juba
contents Motivated by the rapid push to decentralize sharing of data, we study whether large-scale data sharing coalitions can form in a decentralized manner under differential privacy when players have heterogeneous privacy preferences. We first consider a fully decentralized data-sharing mechanism in which each player decides whether to participate and how much privacy noise to add locally to their sensitive data before sharing. Privacy choices induce a fundamental trade-off: higher privacy lowers individual privacy costs but reduces data utility and statistical accuracy for the coalition. These choices generate externalities across players, making both participation and privacy levels strategic. Our goal is to understand which coalitions are stable, how privacy choices shape equilibrium outcomes, and how fully decentralized data-sharing compares to a centralized, socially optimal benchmark when the number of players is large. We provide a comprehensive analysis across multiple privacy-cost regimes corresponding to different attack/observation models in differential privacy, showing that full decentralization is highly inefficient in terms of both social welfare and estimator accuracy. Surprisingly, we find that a simple partially decentralized mechanism (where players still retain participation agency, but a central designer chooses a fixed privacy noise level for everyone) closes this efficiency gap down to constant factors across all privacy-cost regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2602_09357
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Data Sharing with Endogenous Choices over Differential Privacy Levels
Bassily, Raef
Donahue, Kate
Sen, Diptangshu
Zhao, Annuo
Ziani, Juba
Computer Science and Game Theory
Cryptography and Security
Motivated by the rapid push to decentralize sharing of data, we study whether large-scale data sharing coalitions can form in a decentralized manner under differential privacy when players have heterogeneous privacy preferences. We first consider a fully decentralized data-sharing mechanism in which each player decides whether to participate and how much privacy noise to add locally to their sensitive data before sharing. Privacy choices induce a fundamental trade-off: higher privacy lowers individual privacy costs but reduces data utility and statistical accuracy for the coalition. These choices generate externalities across players, making both participation and privacy levels strategic. Our goal is to understand which coalitions are stable, how privacy choices shape equilibrium outcomes, and how fully decentralized data-sharing compares to a centralized, socially optimal benchmark when the number of players is large. We provide a comprehensive analysis across multiple privacy-cost regimes corresponding to different attack/observation models in differential privacy, showing that full decentralization is highly inefficient in terms of both social welfare and estimator accuracy. Surprisingly, we find that a simple partially decentralized mechanism (where players still retain participation agency, but a central designer chooses a fixed privacy noise level for everyone) closes this efficiency gap down to constant factors across all privacy-cost regimes.
title Data Sharing with Endogenous Choices over Differential Privacy Levels
topic Computer Science and Game Theory
Cryptography and Security
url https://arxiv.org/abs/2602.09357