I find all of thiose criteria a bit extreme but I understand a rigorous
classification is needed. However I can tell you about the method I
prefer:
Tideman's Ranked Pairs.
>From what I had understood, it depends on the criteria you use. Ranked Pair5). ... I've read that Tideman's Ranked Pairs fails SDSC and WDSC, but the other two completion methods meet them.
exist in several forms: margin -RP(m), relative margin -RP(rm)- and winning votes-RP(wv). RP(m) is the simplest, RP(rm) is the most representatives for sincere ballots (In My Humble Opinion) and RP(wv) is the most resisitant to unsincere truncation strategies. So the above comment maybe true only for RP(m).
Still, I know that RP(wv) garantees to protect a strong Condorcet winner (with a majority against every other candidate). RP(m) and RP(rm) only protect a stronger Condorcet winner (with 66% support against every other candidate). Neither can protect
a weak Condorcet winner.
However, I have designed a RP(winning votes) method on an extended graph
that I think can protect even a weak Condorcet Winner. This method like
any Condorcet Ranking
can be generalized to produce weights as an output so to be used in
a PR multiple-winners method.
I hope it helps,
S. Rouillon
