On Jan 21, 2010, at 8:54 PM, Abd ul-Rahman Lomax wrote:

At 05:17 PM 1/21/2010, robert bristow-johnson wrote:
  and i believe that it is perfectly
practical when the number of *credible* candidates is small.  doesn't
matter what the voting system is.  IRV, or whatever.

Yes. But how small? Don't use the bogus numbers that aren't at all realistic given real-world election rules,

<lotsa blather deleted and left unresponded>

being 54 and having voted in every prez election since Carter-Ford (and aware of the 1968 election with Wallace-Nixon-Humphery), i have never once seen a presidential election in the US that had more than two candidates with any chance of winning, and no more than three candidates of national salience.

so my bogus number is 3, maybe 4 at the most. individual precincts could total 40 different virtual piles. doesn't matter what the counting method is, those precinct summable pile tallies are sufficient to completely describe the election for those 4.


  for 3 candidates, that number is 9.

Okay, three candidates, A, B, C, the ballot possibilities are, to
be complete, much more than 9. I'll assume that write-ins are
illegal and void the ballot. Some of the possibilities are legally
equivalent to others, and in actual IRV ballot imaging, they are
collapsed and reported the same, to the displeasure of voting
security people who do want to know the "error rate," which
includes overvoting and exact overvoting patterns. So-called ballot
images are not, generally. They are processed data reducing a
ballot to legally equivalent votes. The reduced set is this:

A
B
C
A>B
A>C
B>A
B>C
C>A
C>B

Note that this assumes a 2-rank ballot.

no, it can be a 3-rank ballot where the voter declines to rate their
last choice.  "3rd choice" is left unmarked.

I meant something a little different. I address the possibility of a 3-rank ballot in the next section. The basic issue here is whether or not the third rank is irrelevant or not. If it's irrelevant, I claim, it's not really a three-rank ballot, it's got two relevant ranks and one that means nothing. Why was it even there?


blather.  you said absolutely nothing of substance.

It also assumes that majority vote isn't important.

bullshit.  it (the number of consequential ballot permutations) has
nothing to do with it (whether or not majority vote is important).

This is, in fact, serious ignorance. Bullshit, properly used, allows things to grow. Consider where the growth lies here.

If a majority is required, there is a difference in meaning between B>C>A and B>C. I will assume the counting method described by Robert's Rules of Order for preferential voting. 3 candidates

Situation with truncated B vote:
35 A>B
34 B>C
31 C

C eliminated, votes become

35 A>B
34 B

Majority basis is 100. 51 votes are required to win. No majority, B eliminated. I would guess that Robert doesn't consider this step because he is used to thinking of plurality IRV, no majority required, and the counting can stop with the last two in that case. A would win.

35 A>B. A is plurality winner, no majority, election fails. Who would be the runoff candidates? Under Robert's Rules, the question is unanswerable and undeterminable from the first round results. It's a new election. Under top two runoff rules, the rules were not designed for a preferential ballot, but I'd suggest considering *every IRV vote* as an approval, then pick the top two in that.

so you're making up rules to "prove" a point. chapter 13, section 45 of RONR (regarding preferential voting) have *no* consequential difference between marking the last preference last or deducing the same preference is last because it is the *only* one remaining unmarked.

there is no consequential difference between.

  35  A>B
  34  B>C
  31  C

and

  35  A>B
  34  B>C>A
  31  C

or

  35  A>B>C
  34  B>C>A
  31  C

end of discussion.


 Pay attention, Robert, there is far more here than you imagine.

the problem for you is that i *am* paying attention. you're wrong and, by examination, that fact that you're wrong becomes manifest.

the rest of the blather is deleted without comment.

people need to warned that, although you fancy yourself an expert, you are not. you make things up. they should just ignore you.


--

r b-j                  [email protected]

"Imagination is more important than knowledge."




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