[email protected] wrote:
I emailed Forest about using weighted voting systems (ones where
candidates, rather than parties, have different voting power in the
legislature), and he suggested posting it to the group for discussion.
The following method could be used with Approval, Range, and Borda ballots.
1. Determine the size of legislature you want.
2. Have each candidate list all of the other candidates in order of
preference.
3. Looking at every possible slate of candidates in turn, add an amount
equal to the highest scoring candidate on each ballot to that slate’s
score.
Although it might only be slightly related to your system, this makes me
wonder if the following very simple combinatorial method is any good:
- Input ballots are Range or Borda.
- Any given slate has a score equal to the sum of, over all ballots, the
highest rated candidate on that ballot that is also in the given slate.
- The slate with the highest score wins.
- Tiebreaks are leximax (sum of, over all ballots, the second highest
rated candidate, etc).
I don't think that passes DPC (since Borda doesn't pass Majority), but
it passes the weaker "force proportionality" criterion (in that an 1/n
faction can, by strategy, force their representative to be the one they
want). So it is at least better than SNTV, except for the whole bit
about not being summable :-)
As a single-winner method, it reduces to Range or Borda respectively.
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