James--
Yes, that would be a way to define Pareto for preferences: If everyone prefers X to Y and votes sincerely, Y shouldn't win.
I suppose Approval could fail that if everyone votes for both or neither of X & Y, and as a result X and Y are in a tie for first place, so X and Y win. Or, if we count the random tiebreaker as part of the method, then Y could win that tiebreaker.
As I define sincere voting, a sincere Approval ballot is one that doesn't reverse a preference. That's the result of applying my general sincere voting definition to Approval:
A voter votes sincerely if s/he doesn't reverse a preference or fail vote a preference that the balloting system in use would have allowed him/her to vote in addition to the preferences that s/he actually did vote.
[end of sincere voting definition]
Elsewhere I've defined reversing a preference and voting a preference.
Mike Ossipoff
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