Privacy-Utility Trade-off with the Stratonovich's Value of Information

We consider the problem of publishing data with utility and privacy guarantees in a statistical decision-theoretical framework. In this framework, we introduce a statistical decision-theoretic quantity called average gain for measuring not only privacy but also utility. We also show a relationship between the average gain and the α-leakage, a tunable leakage measure proposed by Liao et al. Moreover, we formulate the privacy-utility trade-off (PUT) problem using Stratonovich's value of information (VoI) and present an analysis of the PUT.