Two by-now folkloric results in the theory of risk sharing are that (i) any feasible allocation is convex-order-dominated by a comonotonic allocation; and (ii) an allocation is Pareto optimal for the convex order if and only if it is comonotonic. Here, comonotonicity corresponds to the...

The aim of this short note is to investigate the impact of duplicates in a life insurance portfolio by means of the supermodular order. Most classical results involving the variances are generalized using the stop-less order.

The aim of this short note is to investigate the impact of duplicates in a life insurance portfolio by means of the supermodular order. Most classical results involving the variances are generalized using the stop-less order.