When evaluating well-being distributions in an anonymous (and replication invariant) manner, one faces a dilemma between (i) assigning dictatorship to a single worst-off person, thus succumbing to a tyranny of non-aggregation and (ii) assigning dictatorship to (unboundedly) many better-off...

The population literature in theoretical economics has long focused on attempts to avoid the repugnant conclusion. We advance the literature by proving that no social ordering in population economics can escape the repugnant conclusion in all instances. As we show, prior results depend on a...