This paper develops and defends a non-utilitarian interpretation of John Harsanyi’s social aggregation theorem and sum of vNM utilities approach. On this interpretation, vNM utilities transform an independently available cardinal measure of fully comparable individual well-being. The resulting proposal for ranking well-being distributions – the Risk-Priority View – is not welfare-anonymous and can favour a smaller increase in well-being for one individual rather than a larger increase in well-being for another, equally well-off individual. I argue here that such counterintuitive implications can be defended, and that impartiality can still be secured through the imposition of an alternative, interprofile anonymity axiom.