  We use decision theory to compare variants of differential privacy from the
perspective of prospective study participants. We posit the existence of a
preference ordering on the set of potential consequences that study
participants can incur, which enables the analysis of individual utility
functions. Drawing upon the theory of measurement, we argue that changes in
expected utilities should be measured via the classic Euclidean metric. We then
consider the question of which privacy guarantees would be more appealing for
individuals under different decision settings. Through our analysis, we found
that the nature of the potential participant's utility function, along with the
specific values of $\epsilon$ and $\delta$, can greatly alter which privacy
guarantees are preferable.
