1. Introduction Redistribution policy under a utilitarian criterion aims to transfer dollars from one group in the population to another if the (weighted) utility gain to the recipients exceeds the utility cost to the donors. Under diminishing marginal utility of income, part of any exogenous change in one group's income should be shared with the other group. For example, if taxpaying workers suffer a negative shock to their mean earnings, then part of this utility shock should be spread to nonworkers in the form of lower transfer payments, and vice versa for the case of a positive shock. This article demonstrates the counterintuitive result that, under reasonable preference representations, a policymaker may respond optimally to a negative utility shock by redistributing income away from the harmed group, thus exacerbating the group's utility loss. In particular, under risk aversion, a mean-preserving increase in the variance of income typically has an effect on well being analogous to a decrease in mean income.1 It may nevertheless be welfare enhancing to transfer income away from those suffering an increase in income uncertainty even though this policy compounds their welfare loss. The main ideas can be demonstrated in a simple framework. For illustration, the analysis will focus on redistribution from taxpaying workers to nonworkers. The central result is that a meanpreserving increase in earnings uncertainty among taxpayers can increase optimal transfer amounts to nonworkers (increasing optimal income replacement rates) even though the redistribution exacerbates the taxpayers' utility loss from the increase in uncertainty. 2. Model [Footnote]1 Many factors in the economy affect earnings uncertainty even conditional on being employed, such as the form of compensation (e. …