Recent work has constructed economic mechanisms that are both truthful and dierentially private. In these mechanisms,
\nprivacy is treated separately from the truthfulness; it is not incorporated in players\u2019 utility functions (and doing so has been
\nshown to lead to non-truthfulness in some cases). In this work, we propose a new, general way of modelling privacy in
\nplayers\u2019 utility functions. Specifically, we only assume that if an outcome o has the property that any report of player i would
\nhave led to o with approximately the same probability, then o has small privacy cost to player i. We give three mechanisms
\nthat are truthful with respect to our modelling of privacy: for an election between two candidates, for a discrete version of
\nthe facility location problem, and for a general social choice problem with discrete utilities (via a VCG-like mechanism). As
\nthe number n of players increases, the social welfare achieved by our mechanisms approaches optimal (as a fraction of n).<\/p>\n","protected":false},"excerpt":{"rendered":"
Recent work has constructed economic mechanisms that are both truthful and dierentially private. In these mechanisms, privacy is treated separately from the truthfulness; it is not incorporated in players\u2019 utility functions (and doing so has been shown to lead to non-truthfulness in some cases). 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