<div dir="ltr"><br><div class="gmail_extra"><br><div class="gmail_quote">2016-11-12 17:45 GMT-05:00 Neal McBurnett <span dir="ltr"><<a href="mailto:nealmcb@gmail.com" target="_blank">nealmcb@gmail.com</a>></span>:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">I haven't been paying that much attention. But this definition doesn't define what this means "a rival is explicitly rejected". Is "rejected" the opposite of "viable"? Or does it mean that no other voter cast any "reject" vote for any other candidate? Or ???<br></blockquote><div><br></div><div>If candidates are ABCD, a ballot that prefers A and leaves the rest blank counts as rejecting BCD, but one that prefers A and rejects B and leaves the rest blank counts as accepting CD.</div><div><br></div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
So if I have an "accept" on a ballot that doesn't "prefer" the leader, that means 0 points?<br>
Since votes depend on how other votes are interpreted and who the leader is, is the tally guaranteed to be attracted to a single stable equilibrium tally?<br>
<br>
Thanks,<br>
<br>
-Neal<br>
<span class=""><br>
On Sat, Nov 12, 2016 at 05:27:53PM -0500, Jameson Quinn wrote:<br>
> I think this is the best phrasing I've come up with so far for PAR. I think it's not exactly equivalent to the definitions I've<br>
> given before, but it is close enough to meet all the same properties and give the same result in any basic scenario type.<br>
><br>
> Prefer Accept Reject (PAR) voting works as follows:<br>
><br>
</span>> 1. Voters can Prefer, Accept, or Reject each candidate. Blanks count as "Reject" if no rival is explicitly rejected; otherwise,<br>
> blank is "Accept".<br>
> 2. Candidates with at least 25% Prefer, and no more than 50% reject, are "viable". The most-preferred viable candidate (if any) is<br>
> the leader.<br>
> 3. Each "prefer" is worth 1 point. For viable candidates, each "accept" on a ballot which doesn't prefer the leader is also worth<br>
<span class="">> 1 point. Most points wins.<br>
><br>
><br>
> 2016-11-12 13:47 GMT-05:00 Jameson Quinn <<a href="mailto:jameson.quinn@gmail.com">jameson.quinn@gmail.com</a>>:<br>
><br>
> Thinking about PAR and the electoral college, I realized that there is a different way to state the PAR rules:<br>
><br>
</span>> 1. Voters can Prefer, Accept, or Reject each candidate. Default is "Reject" for voters who do not explicitly reject any<br>
> candidates, and "Accept" otherwise.<br>
> 2. A candidate is "viable" if they are rejected by under 50%.<br>
> 3. Each ballot gives 1 point to each candidate it prefers. Ballots which prefer no viable candidates also give 1 point to each<br>
<span class="">> candidate they accept, so long as that candidate is preferred by at least 25%.<br>
</span>> 4. Now find the viable candidate with the most points, if any, and redo step 3 from scratch as if only that candidate were<br>
> viable.<br>
> 5. The winner is the candidate with the most points.<br>
<div class="HOEnZb"><div class="h5">><br>
> This could potentially differ from PAR in that it waits slightly longer to "reveal" the preferences of candidates with under<br>
> 25% preferences. In practice, I doubt this would typically make any difference.<br>
><br>
> The procedure above is more complicated than PAR's, but the advantage is that it produces counts which include the disqualified<br>
> candidates, and thus is suitable for combining with totals from non-PAR systems such as approval, plurality, or<br>
> "pre-elimination totals" from IRV. <br>
><br>
><br>
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