I hate to be the party pooped for a second time in this thread, but Goldwater, I think your amendment causes more problems than it solves. The candidate with the most first preferences is always supposed to win. Therefore, a tie would mean each candidate has the same number of first preferences so the tie would be solved by going to second preferences. Here, there never really was a tie to begin with.
Really? The Constitution just says votes, which I assumed to mean votes in the final round, and in that case me & Alfred were tied.