Kevin--
You said:
Since you advocate PC, which fails clone independence and SDSC, I don't mind
selecting MinMax(pairwise opposition), which also fails those: Elect the candidate
for whom the greatest number of votes against him in a contest is the lowest
such number among all candidates.
I reply:
Compared to PC, your method is indecisive, and more inclined to fail to elect the CW.
Consider any standard wv truncation example:
40: A (B>C preference truncated) 25: B 35: CB
Maybe you might want to consider your best proposal?
You continued:
I think the worst strategy problem is either the clear incentive to equal-rank
at the top, or the offensive order-reversal problem that WV methods also have.
I reply:
Your method has a truncation CW failure that PC doesn't have.
You continued:
In this scenario: 49 A 24 B(>C) 27 C(>B)
The result is a B-C tie, unless both B and C factions truncate, in which case A wins.
Break the tie by Random Ballot.
I reply:
Ok, that's interesting, and a good thing--That method halfway gets rid of the defection problem without ATLO. But, with ATLO, wv deals with the problem. And your method has a price (described above) for its halfway solution of the problem without ATLO.
You continue:
For a more sophisticated method, which satisfies clone independence and SDSC,
I suggest to declare a tie among all candidates who are not barred from winning
according to Markus' majority beatpath criterion. (I refer to this method as
"CDTT,RB.")
I reply:
The public doesn't like indecisiveness. Why don't you just propose BeatpathWinner instead?
But either BeatpathWinner or CDTT,RB is a good method, if people don't mind CDTT,RB's indecisiveness.
By the way, though someone has probably already mentioned this, the immune set, the set of candidates who could be elected without violating the Strong Beatpath Criterion (SBC) is the same as the winner set of BeatpathWinner. SBC is based on Steve's BC.
Mike Ossipoff
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