[EM] PAR: nearly-equivalent rules

[Jameson Quinn]

OK, I'm still working on expressing the rules as simply as possible. The
following is again a small change from what I'd said previously, but it is
simpler and nearly equivalent:

   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 get 1 point for every ballot that prefers them.
   3. Candidates with over 25% Prefer, and less than 50% Reject, are
   "viable". Viable candidates get 1 point for every ballot that accepts them
   and does not prefer the most-preferred viable candidate.
   4. Winner is the highest score.


2016-11-12 14:04 GMT-05:00 Jameson Quinn <jameson.quinn at gmail.com>:

> 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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