[EM] PAR: nearly-equivalent rules

[Jameson Quinn]

Another nearly-equivalent way of stating it that gives valid approval
scores for all candidates as a byproduct:


   1. *Voters can Prefer, Accept, or Reject each candidate.* Default is
   "Reject" for voters who do not explicitly reject any candidates, and
   "Accept" otherwise.
   2. *Candidates over 25% Prefer, and less than 50% reject, are "viable"*.
   3. Each candidate gets 1 point for each "prefer".
   4. Each candidate with over 25% prefer gets 1 point for each "accept" on
   a ballot that prefers no viable candidates.
   5. Each candidate with over 25% prefer gets 1 point for each "accept" on
   a ballot that prefers some viable candidate, but does not prefer the
   candidate who's leading after step 4.
   6. The winner is the candidate with the highest points.


2016-11-12 13:47 GMT-05:00 Jameson Quinn <jameson.quinn at gmail.com>:

> Thinking about PAR and the electoral college, I realized that there is a
> different way to state the PAR rules:
>
>
>    1. *Voters can Prefer, Accept, or Reject each candidate.* Default is
>    "Reject" for voters who do not explicitly reject any candidates, and
>    "Accept" otherwise.
>    2. A candidate is "viable" if they are rejected by under 50%.
>    3. Each ballot gives 1 point to each candidate it prefers. Ballots
>    which prefer no viable candidates also give 1 point to each candidate they
>    accept, so long as that candidate is preferred by at least 25%.
>    4. Now find the viable candidate with the most points, if any, and
>    redo step 3 from scratch as if only that candidate were viable.
>    5. The winner is the candidate with the most points.
>
>
> This could potentially differ from PAR in that it waits slightly longer to
> "reveal" the preferences of candidates with under 25% preferences. In
> practice, I doubt this would typically make any difference.
>
> The procedure above is more complicated than PAR's, but the advantage is
> that it produces counts which include the disqualified candidates, and thus
> is suitable for combining with totals from non-PAR systems such as
> approval, plurality, or "pre-elimination totals" from IRV.
>
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