Oh, good point, maybe a kind of alphabetical ordering could break ties.

So then, we disregard everyone who isn't affected by the possible action and maximize over the utilities of those who are.

But still, this prefers a million people being punched once to any one person being punched twice, which seems silly --- I'm just trying to parse out my intuition for choosing dust specks.

I get other possible methods being flawed is a mark for linear aggregation, but what positive reasons are there for it?