Hi, I’m Dean, a coauthor on the paper. I’m sorry you’re having trouble getting the paper. This link should get it for you without charge: https://rdcu.be/chNpG
The journal emailed me “As part of the Springer Nature SharedIt initiative, you can now publicly share a full-text view-only version of your paper by using the link below… There are no restrictions on the number of people you may share this link with, how many times they can view the linked article or where you can post the link online. ”
I’m happy to talk more about the paper!
Hi! Because this version of the paper is in the economics literature, we don’t explicitly interact with negative utilitarianism (we have a companion working paper in progress for the philosophy literature and might draw it out there more). There seem to be different concepts of negative utilitarianism in the literature. Versions that only care about negative-utility lives ($\sum{u_i : u_i < 0} u_i $) would not not satisfy Pareto or Aggregation and therefore would not be covered under the main result, Theorem 1 (although I might personally say that makes them odd to call utilitarianism). But these would be covered under the broader result, Proposition 1.