[EM] Tideman vs Beatpathwinner

[MIKE OSSIPOFF]

Markus said:


To my opinion,
the Schulze method is better than the Tideman method because
in those cases where the Schulze method and the Tideman method
choose different candidates the worst pairwise defeat of the
Schulze winner is usually weaker than the worst pairwise
defeat of the Tideman winner.

I reply (in addition to my previous reply):

If that's true, then it's a valid advantage of BeatpathWinner
over Tideman(wv). It matters if it means that fewer voters are
overruled by BeatpathWinner than by Tideman(wv). A voter is overruled
if he ranked over the winner a candidate who beat the winner.
He's doubly overruled if he ranked over the winner 2 candidates who
beat the winner, etc.

Can you demonstrate that your statement is true? Can you demonstrate
that, over the long run, BeatpathWinner overrules fewer voters than
Tideman(wv) does?

In any case, though, there's something stronger about the direct
winner comparison. Which of the 2 methods' winners the voters prefer
to the other seems a stronger consideration. Your PC standard, and
the overruled voters, seem more abstract in comparison to the
democratic meaning of the pairwise comparison between the 2 methods'
winners.

But I've wondered whether SSD (and BeatpathWinner) overrules fewer
voters, over the long run, than does Tideman(wv).

Mike Ossipoff


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