Ross Hyman wrote:
A Condorcet divisor method proportional representation procedure is presented that is a variant of Nicolaus Tideman’s Comparison of Pairs of Outcomes by Single Transferable Vote (CPO-STV) and Shultz STV but requires the determination of fewer candidate set comparisons than either. The method will produce the same result as a party list election that uses the same divisor method provided that each voter votes their party’s list. The procedure is a Condorcet variant of the procedure presented in the February 2011 issue of Voting Matters.
That's interesting. The way you make an ordering based on limited information reminds me of Ranked Pairs: you lock each relation and then skip those that would contradict what's already locked.
I imagine it would be possible to make a Schulze STV variant of the above, too: just calculate the relations as you've done, then use a strongest path algorithm to extrapolate the other pairwise contests. Schulze STV itself does this because it only directly knows the pairwise contests where the sets compared differ by a single candidate.
Apart from that, I also find the divisor approach of interest, because I have tried to make a multiwinner method based on divisor party list PR methods before. I found a method that was monotone and did reduce to party list PR if everybody voted for their parties' lists, but it was rather unwieldy. I wonder if your method is monotone -- do you know whether it is?
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