<br><br><div class="gmail_quote">2011/7/6 Andy Jennings <span dir="ltr"><<a href="mailto:elections@jenningsstory.com">elections@jenningsstory.com</a>></span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
<div>Jameson,</div><div><br></div><div>I have become confused about one point of operation in SODA. Take this scenario:</div><div><br></div><div><div>35 A>B>C</div><div>34 B>C>A</div><div>31 C>A>B</div>
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<div><br></div><div>If A delegates to A,B then does B have 69 votes he can delegate to B,C or does he have only 34 he can play with?</div><div><br></div><div>In other words, can votes delegated from one candidate to another be re-delegated to a third candidate?</div>
</blockquote><div><br></div><div>B has 34. Delegable votes are only bullet votes. In fact, a real SODA scenario would probably be more like:</div><div><br></div><div>25 A (>B)</div><div>5 A,X</div><div>5 A,B</div><div>
26 B (>C)</div><div>4 B,X</div><div>4 B, C</div><div>29 C (>A)</div><div>1 C,X</div><div>1 C,A</div><div>Initial totals: 36A, 39B, 35C</div><div>Delegable: 25A, 26B, 29C</div><div><br></div><div>Note that in this example, C has the most delegable votes and would decide delegation first, even though B has the most total initial votes. In this case - a Condorcet cycle - the result would be the same no matter who delegates first, as long as all candidates use correct strategy. But there are cases where it wouldn't be:</div>
<div><br></div><div>25: Left (>X)</div><div>15: Left, Center</div><div>5: Left, Right</div><div>25: Center (>Right)</div><div>30: Right (>Center)</div><div><br></div><div>The candidate Left has not declared any delegable preferences, but the left voters clearly tend to prefer Center over Right. Center is the Condorcet winner, but Right would get the chance to delegate before Center, and thus would be the strategic winner under SODA. If delegation order went in order of total votes instead of delegable votes, Center would win. </div>
<div><br></div><div>Hmm... now that I look at this scenario in black and white, I'm starting to think that delegation order should be in order of total, not delegable, votes. Not that there isn't a case to be made for Right in this election; if Center were really a better result, then they should get either Left's delegation or more delegable votes from the nominally voters who chose [Left, Center] here. This argument like FairVote's handwaving arguments about "strength" of support - which is not necessarily invalid just because it's imprecise and easy to reduce ad absurdem. But... I think that having this scenario go to Right puts too much of a burden of strategic calculation on the [Left, Center] voters. </div>
<div><br></div><div>So, yet another adjustment to SODA, I think. Delegation choice goes in descending order of total votes; the person with the most total votes gets the "first move". If my grounded intuition is correct, this should not matter when there's a 3-way cycle, only when there's a pairwise champion (CW).</div>
<div><br></div><div>Hopefully this will be the last time I have to adjust SODA. Also note that all the adjustments so far have been minor tweaks; any of the versions so far would work well, though I believe they have been steadily improving. Current rules, as always, are at <a href="http://wiki.electorama.com/wiki/Simple_Optionally-Delegated_Approval">http://wiki.electorama.com/wiki/Simple_Optionally-Delegated_Approval</a></div>
<div><br></div><div>JQ</div><meta http-equiv="content-type" content="text/html; charset=utf-8"><div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
<div><br></div><div>I looked at the wiki and still am unclear on this. I still have the original SODA proposal in my head (where votes could not be delegated multiple times) and I can't remember if we've changed this detail at some point.</div>
<div><br></div><div>Thanks,</div><div><br></div><div>Andy</div><div><br></div><br><br><div class="gmail_quote">On Tue, Jul 5, 2011 at 12:39 PM, Jameson Quinn <span dir="ltr"><<a href="mailto:jameson.quinn@gmail.com" target="_blank">jameson.quinn@gmail.com</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div class="gmail_quote"><div>Russ, you said that SODA was too complicated. In my prior message, I responded by saying that it was actually pretty simple. But thanks for your feedback; I realize that the SODA page was not conveying that simplicity well. I've changed the procedure there from 8 individual steps to 4 steps - simple one-sentence overviews - with the details in sub-steps. Of these 4 steps, only step 1 is not in your proposal. And the whole of step 4 is just three words.</div>
<div><br></div><div>The procedure is exactly the same, but I hope that <a href="http://wiki.electorama.com/wiki/Simple_Optionally-Delegated_Approval#Procedure" target="_blank">this version</a> does a better job of communicating the purpose and underlying simplicity of the system.</div>
<div><br></div><div>Thanks,</div><div>Jameson</div></div>
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