[EM] Condorcet Criterion for plurality.

[Martin Harper]

MIKE OSSIPOFF wrote:

> Condorcet's  Criterion:
>
> If there's a sincere CW, and everyone votes sincerely, then that
> sincere CW should win.
>
> A voter votes sincerely if he doesn't vote a false preference or
> leave unvoted a sincere preference that the balloting system in
> use would have allowed him to vote in addition to the preferences
> that he actually voted.
>
> Of course voting a false preference means voting X over Y when
> the voter doesn't really prefer X to Y.
>
> By "preference", I mean pairwise preference.

What if I have no opinion on Alice versus Bob, but I want to vote a false preference of A

over B in order to vote a sincere preference of C over B? IE: My sincere ranked ballot
would be C>(A=B).

Example: "It's a fix!" balloting system. "You may vote any number of preferences of the
form X>Y, as long as at least one of them is of the form Alice>X."
Martin