Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-14 Thread Dave Ketchum
If you object to plurality as I used it below, then WHAT label would you use for this major (often used) election method? I did go to Robert's 10th which is not into our level of detail on this topic (I see neither approval nor Condorcet mentioned). I went to Wikipedia, which I see as

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Jameson Quinn
2010/2/10 Abd ul-Rahman Lomax a...@lomaxdesign.com At 02:16 PM 2/10/2010, Jameson Quinn wrote: What if the bribe is payable only after the vote, and only for effective votes? (And don't say that the bribegiver can't be trusted. Since corruption is often a very cheap investment for the

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Abd ul-Rahman Lomax
At 01:08 PM 2/10/2010, Dave Ketchum wrote: Condorcet does an N*N matrix showing for EACH pair of candidates which is better liked - used in counting and usable by others to help plan their future. Often there is a CW which wins for winning in all of its pairs; else a cycle in which each would

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Jameson Quinn
Consider the following votes: 34 A 33 BC 33 CB. The Condorcet winner is A, because in the two pairwise elections involving A, A wins AB, 34:33 AC, 34:33. Huh? I count 66 voters who prefer either B or C over A. Change it up: 49 A 26 BC 25 CB Now the CW is B. In the C vs. B

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Rob LeGrand
Abd wrote: 34 A 33 BC 33 CB. The Condorcet winner is A, because in the two pairwise elections involving A, A wins AB, 34:33 AC, 34:33. Assuming that by the above votes you mean 34:AB=C 33:BCA 33:CBA, A is not the Condorcet winner and is in fact the Condorcet loser, losing both A:B and

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Abd ul-Rahman Lomax
At 01:45 PM 2/11/2010, Abd ul-Rahman Lomax wrote: 34 A 33 BC 33 CB. The Condorcet winner is A, because in the two pairwise elections involving A, A wins AB, 34:33 AC, 34:33. Oops. Of course, A is the Condorcet loser. I added the second preferences as an afterthought. I meant 34 A 33 B

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-11 Thread Dave Ketchum
We all get careless and stumble, sooner or later! But I choke on two details here: You misuse the label plurality - having only the ability to vote for 1 even though, for many races most intelligent voters will find there is only one candidate deserving approval. Even Approval has more

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-10 Thread Abd ul-Rahman Lomax
At 05:33 AM 2/10/2010, Kristofer Munsterhjelm wrote: Abd ul-Rahman Lomax wrote: Who says organization, says oligarchy. One has to be careful not to have the organization become undemocratic, because the default tendency is for it to turn so, since it is (initially) more effective that way.

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-10 Thread Jameson Quinn
I've elsewhere detailed how an attempt to corrupt a proxy in a DP system could easily lead to a mouthful of hair for the would-be corrupter. They pay the money, they get the open support of the proxy, the proxy ends up looking very good to the constituents, who, on this issue, vote directly,

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-10 Thread Abd ul-Rahman Lomax
At 02:16 PM 2/10/2010, Jameson Quinn wrote: What if the bribe is payable only after the vote, and only for effective votes? (And don't say that the bribegiver can't be trusted. Since corruption is often a very cheap investment for the bribegiver, they would not be particularly motivated to

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-09 Thread Abd ul-Rahman Lomax
At 12:20 PM 2/8/2010, Kristofer Munsterhjelm wrote: Abd ul-Rahman Lomax wrote: Given that much better methods exist, have been tried and worked, and are much easier to canvass, WTF? If I were to guess: in part a desire to produce a stepping stone to STV, and in part organizational inertia.

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-06 Thread Jonathan Lundell
On Feb 6, 2010, at 12:27 AM, Kristofer Munsterhjelm wrote: For all practical purposes, except when there are only a few candidates, the first format (1) would be much more compact than the second - which is the point you're making. The data is probably quite compressible as well. Well, yes.

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-05 Thread James Gilmour
Abd ul-Rahman Lomax Sent: Friday, February 05, 2010 4:50 PM CUT Practically speaking, I'd assume, the precincts would be provided with a spreadsheet showing the possible combinations, and they would report the combinations using the spreadsheet, transmitting it. So some cells would be

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-05 Thread Abd ul-Rahman Lomax
At 01:12 PM 2/5/2010, James Gilmour wrote: Abd ul-Rahman Lomax Sent: Friday, February 05, 2010 4:50 PM CUT Practically speaking, I'd assume, the precincts would be provided with a spreadsheet showing the possible combinations, and they would report the combinations using the spreadsheet,

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-04 Thread robert bristow-johnson
On Feb 4, 2010, at 7:51 PM, Kathy Dopp wrote: The general formula for the number of possible rankings (for strict ordering, without allowing equal rankings) for N candidates when partial rankings are allowed and voters may rank up to R candidates (N=R if voters are allowed to rank all

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-04 Thread robert bristow-johnson
On Feb 4, 2010, at 8:29 PM, Kathy Dopp wrote: On Thu, Feb 4, 2010 at 8:18 PM, robert bristow-johnson r...@audioimagination.com wrote: On Feb 4, 2010, at 7:51 PM, Kathy Dopp wrote: The general formula for the number of possible rankings (for strict ordering, without allowing equal rankings)

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-04 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: People on this list seem to still be sending around their incorrect or incomplete formulas for the number of possible rank orders for rank order ballots. This number BTW does *not* correspond to the number of piles needed to count IRV which is a lesser number but does

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-03 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Feb 2, 2010, at 2:28 PM, robert bristow-johnson wrote: Warren tells me that C-1 SUM{ C!/n! } n=1 has a closed form, but didn't tell me what it is. does someone have the closed form for it? i fiddled with it a little, and i can certainly see

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-02 Thread robert bristow-johnson
On Feb 2, 2010, at 2:28 PM, robert bristow-johnson wrote: Warren tells me that C-1 SUM{ C!/n! } n=1 has a closed form, but didn't tell me what it is. does someone have the closed form for it? i fiddled with it a little, and i can certainly see an asymptotic limit of