In this paper we show that for any mechanism design problem with the objective of maximizing social welfare, the exponential mechanism can be implemented as a truthful mechanism while still preserving differential privacy. Our instantiation of the exponential mechanism can be interpreted as a generalization of the VCG mechanism in the sense that the VCG mechanism is the extreme case when the privacy parameter goes to infinity. To our knowledge, this is the first general tool for designing mechanisms that are both truthful and differentially private.
Huang and Kannan REF showed that the exponential mechanism could be implemented as a truthful mechanism while still preserving differential privacy for any mechanism design problem with the objective of maximizing social welfare.
The Exponential Mechanism for Social Welfare: Private, Truthful, and Nearly Optimal
2012 IEEE 53rd Annual Symposium on Foundations of Computer Science
2012 IEEE 53rd Annual Symposium on Foundations of Computer Science
Mathematics Computer Science