On variance voting: yeah, I think 4 is the point here. I don’t think you can extend this approach to unbounded choice sets. I’m travelling atm so can’t be more formal, but hopefully tomorrow I can write up something a bit more detailed on this.
On bargaining-theory approaches, it actually isn’t clear that they avoid fanaticism: see pp.24-26 of the Greaves and Cotton-Barratt paper you link, especially their conclusion that ‘the Nash approach is not completely immune from fanaticism’. Again, I think constructive ambiguity in the way these theories get described often helps obscure their relationship to fanatical conclusions; but there’s an impossibility result here, so ultimately there’s no avoiding the choice.
On variance voting: yeah, I think 4 is the point here. I don’t think you can extend this approach to unbounded choice sets. I’m travelling atm so can’t be more formal, but hopefully tomorrow I can write up something a bit more detailed on this.
On bargaining-theory approaches, it actually isn’t clear that they avoid fanaticism: see pp.24-26 of the Greaves and Cotton-Barratt paper you link, especially their conclusion that ‘the Nash approach is not completely immune from fanaticism’. Again, I think constructive ambiguity in the way these theories get described often helps obscure their relationship to fanatical conclusions; but there’s an impossibility result here, so ultimately there’s no avoiding the choice.