<div>Two points:</div><div><br></div>1.<div><br></div><div>I chatted with Rob Brown about the "upper Bucklin naming" question. His votes were:<div><br></div><div>IRAV: F</div><div>DAT: B</div><div>Median Ranking: A</div>
<div>Median Rating: A</div><div>Median Grade: A</div><div>Cumulative Best Approval (CBA): B</div><div><br></div><div>I myself would give those latter four options C, C, B, and A respectively.</div><div><br></div><div>Here are my votes on Andy's proposals. I think his point about two words is well-taken, but I'm not going to change my existing votes. Also, I think an appropriate enough acronym could allow 3 letters/words.</div>
<div><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Majority Approval Voting: A</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Delayed Approval Voting: D</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Approval Level Voting: D</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Delayed Support Voting: C</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Majority Support Voting: B</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Support Level Voting: F</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Gradual Support Voting: C</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">
<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Gradual Approval Voting: B</span></div><div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)"><br>
</span></div><div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">In the spirit of his two-level-only dictum, here are a few more ideas:</span></div>
<div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)"><br></span></div><div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Cumulative Approval Voting: A</span></div>
<div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Cumulative Support Voting: A</span></div><div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-Cumulative Majority Voting: B (But "CMV" rings a bell, and I don't think it's just for cytomegalovirus; is there already a CMV voting system proposal?)</span></div>
<div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-As above, but replace "Cumulative" with "additive": 1 grade lower.</span></div>
<div><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px;background-color:rgb(255,255,255)">-ABC (Approval-Based Cumulative) voting: C (I like the acronym, especially if we're using letter grades; but I am not satisfied with this backronym. Anyone else have ideas? Approval, additive; building, based, best, biggest; cumulative, cutoff, classify... </span><span style="background-color:rgb(255,255,255);color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13.333333969116211px">)</span></div>
<div><br></div><div>So currently Descending Approval Threshold (DAT) is in the lead with a median of B. Please add your votes before Wednesday; until then, I'll just use my favorite of whatever terms currently lead, but wrap it in "¿?" question marks.</div>
<div><br></div><div>2.</div></div><div><br></div><div>I was thinking about how to give a GMJ-like single number for reporting a candidate's results under ¿DAT?, and I realized that the GMJ formula itself could work with some adjustments. The formula is:</div>
<div><br></div><div>Median + (V> - V<) / (2 * V=)</div><div><br></div><div>Where V>, V<, and V= are votes above, below, and at the median.</div><div><br></div><div>¿DAT? can use the same formula as long as you replace V< with some number that's constant across candidates for a given election and median, and replace V= with (Vtot - (V> + V<)). (It could also in principle work for a constant V= if that was large enough, but I don't like that idea as much.)</div>
<div><br></div><div>So what should we use for the fake V< for reporting? Using the average (or even better, geometric mean) of the real V< numbers for that election and median would give the most-realistic numbers. But even a simple constant, like 1/(2*number of grades)=10% wouldn't be too bad.</div>
<div><br></div><div>Anyway, the point is that you could pretty clearly find a way to report ¿DAT? results using one number per candidate, which removes one of my last good reasons to prefer GMJ. And that way comes from GMJ, so my work on GMJ isn't a total loss, which removes one of my last bad reasons to prefer GMJ :).</div>
<div><br></div><div>So, pending naming, I think ¿DAT? is the future of Bucklin systems.</div><div><br></div><div>Jameson</div>