your utility function does not have that form (it would seem to be the minimum rather than the sum of the other individuals’ utilities).
The average, rather, if the people expect to get utility randomly sampled from the population distribution. The original position gives you total utilitarianism if the parties face the possibility of there “not being enough slots” for all.
The average, rather, if the people expect to get utility randomly sampled from the population distribution. The original position gives you total utilitarianism if the parties face the possibility of there “not being enough slots” for all.