Lottery-condercet seems like a nicer condition than condercet and this seems like a very compelling argument against condercet. Lottery independence seems like a hard property to reject when randomization is available (and “we didn’t ask the players how they felt about lotteries” is not a very compelling defense). Overall seems like a very interesting perspective, though it would certainly be nicer if maximal lottery-lotteries existed.
Lottery-condercet seems like a nicer condition than condercet and this seems like a very compelling argument against condercet. Lottery independence seems like a hard property to reject when randomization is available (and “we didn’t ask the players how they felt about lotteries” is not a very compelling defense). Overall seems like a very interesting perspective, though it would certainly be nicer if maximal lottery-lotteries existed.