From: Jameson Quinn [mailto:[email protected]] Sent: Monday, June 17, 2013 12:15 PM Subject: Re: Participation Criteria and Bucklin - perhaps they *can* work together after all?
2013/6/17 Benjamin Grant <[email protected] <mailto:[email protected]> > is because we are letting people skip grades/places. Or to put another way, if we asked the voters under Bucklin to fill out each ballot more strictly, ranking 1st through Nth where there are N candidates - I know that several do not like this approach, *but* my question is this - does *strictly ranked* Bucklin fail Participation?? Yes. Just add 500 other candidates, and fill in the gaps with randomly-selected candidates from the 500. Obviously, you could probably get by with a lot less than 500 - at a rough guess, I'd expect that 8 would be plenty without changing the numbers here, and probably around 4-6 would be enough to make a similar example with smaller gaps work, but my point is that with enough extra candidates who cluster at the bottom of most ballots, you can turn any rated scenario into a ranked scenario. You are being tempted by a mirage here. The first lesson of "voting school kindergarten" is that most problems don't have a perfect solution. That doesn't mean you stop looking for ways to improve things, but it does mean that when you imagine a "fix", you do your best to shoot holes in your own idea. 95% of the time you'll succeed, but the other 5% still makes it worth it. Jameson Oh. That's disappointing. I have to see it with my own eyes, although I am sure you know what you are talking about, my brain won't let me move on until I see the disproof. So I will try to create one - a situation where in using strictly ranked Bucklin, adding a new ballot in which A is ranked higher than B, this new ballot somehow switches the winner from A to B. The challenge is that its intuitively seems like such an impossible task, I am worried that should such an example be possible (and you say it is, and I believe you) I might never find it in my blind spot! So if anyone *has* a handy example of this, I would be grateful for it being brought to my attention, otherwise, I am going to have to try to create it on my own in my own blind spot. Thanks. :) -Benn Grant eFix Computer Consulting <mailto:[email protected]> [email protected] 603.283.6601
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