Maximal lottery-lotteries also satisfies consistency and participation, since they are just maximal lotteries over a larger set of candidates.
Actually, I think there is a decent chance I am wrong here. It might be merging two electorates that produce the same lottery-lottery over candidates also produces that lottery-lottery, but we can’t say the same thing if we collapse that to lotteries, which is what we would need for consistency.
Actually, I think there is a decent chance I am wrong here. It might be merging two electorates that produce the same lottery-lottery over candidates also produces that lottery-lottery, but we can’t say the same thing if we collapse that to lotteries, which is what we would need for consistency.