Privacy and fairness cannot both be guaranteed in facility location over all datasets, but mechanisms exist that are optimal or near-optimal on welfare and fairness for natural data while preserving worst-case differential privacy.
Differentially Private Partial Set Cover with Applications to Facility Location
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Tradeoffs in Privacy, Welfare, and Fairness for Facility Location
Privacy and fairness cannot both be guaranteed in facility location over all datasets, but mechanisms exist that are optimal or near-optimal on welfare and fairness for natural data while preserving worst-case differential privacy.