Dang. I wasn’t entirely sure whether you were firm on the definition of lottery-lottery dominance or if that was more speculative. I guess I wasn’t clear that MLLs were specifically meant to be “majoritarianism but better”? Given that you meant for it to be, this post sure doesn’t prove that they exist. You’re absolutely right that you can cook up electorates where the majority-favored candidate isn’t the Nash bargaining/Geometric MLL favored candidate.
Dang. I wasn’t entirely sure whether you were firm on the definition of lottery-lottery dominance or if that was more speculative. I guess I wasn’t clear that MLLs were specifically meant to be “majoritarianism but better”? Given that you meant for it to be, this post sure doesn’t prove that they exist. You’re absolutely right that you can cook up electorates where the majority-favored candidate isn’t the Nash bargaining/Geometric MLL favored candidate.