Weighing and aggregating reasons under uncertainty: a trilemma

I discuss the trilemma that consists of the following three principles being inconsistent:1.The Common Principle: if one distribution, A, necessarily brings a higher total sum of personal value that is distributed in a more egalitarian way than another distribution, B, A is more valuable than B.2.(Weak) ex-ante Pareto: if one uncertain distribution, A, is more valuable than another uncertain distribution, B, for each patient, A is more valuable than B.3.Pluralism about attitudes to risk (Pluralism): the personal value of a prospect is a weighted sum of the values of the prospect’s outcomes, but the weight each outcome gets might be different from the probability the prospect assigns to the outcome.