Yeah, that is correct, although note that the ballot could just ask the voters for their utility function. The assumption means the ballot asks for a ranking of candidates, possibly with ties, and no other information.
Yes, although I bet that Condorcet and consistent are still incompatible for deterministic voting systems, even if you allow taking in the entire utility functions
Yeah, that is correct, although note that the ballot could just ask the voters for their utility function. The assumption means the ballot asks for a ranking of candidates, possibly with ties, and no other information.
Note that this is only true for ranked methods, and not scored methods, like Approval Voting, Star Voting, etc.
Checking my understanding here: is this assumption ruling out quadratic voting, which asks for a weighted-ranking of candidates?
Yes, although I bet that Condorcet and consistent are still incompatible for deterministic voting systems, even if you allow taking in the entire utility functions