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Technical discussion of election methods

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Re: [EM] [CES #15028] Re: More on MAS (version 3.0)

JQ
Jameson Quinn
Fri, Oct 14, 2016 10:01 PM

2016-10-14 17:40 GMT-04:00 Ted Stern dodecatheon@gmail.com:

It would help to have a column for "Total 1-votes" also.

Yes, but I couldn't fit more columns in my email (obviously, it depends
what reader you use).

I didn't say what the weakened Frohnmayer balance that it passes is. Here
goes: for any given election outcome, and for any given ballot X, there
is a ballot anti-X such that if you add both X and anti-X, the outcome
order is preserved. (This differs from standard Frohnmayer balance in the
underlined part. But basically the only part of the election outcome that
matters is the list of which candidates are eliminated.)

I am pretty satisfied with this rule. It's summable; it works for
reasonable chicken-dilemma and center-squeeze scenarios; it can be stated
in one sentence, and has some intuitive appeal. So I think that MAS 3.2
will probably become MAS 4.0, that is, canonical MAS. Going once.... (that
is, once I say this two more times, it will be definitive.)

On Fri, Oct 14, 2016 at 1:40 PM, Jameson Quinn jameson.quinn@gmail.com
wrote:

The table I sent had mistakes in the B row. Here it is, fixed:

2-votes

1-votes

0-votes

Blanks

Total 0-votes

Score

A

30

0

0

70

0+70*.7=49

81

B

25

19

0

56

0+56*.75=42

83

C

40

0

40

20

40+20*.6=52

(88)

D

25

7

0

68

0+68*.75=51

(74)

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2016-10-14 17:40 GMT-04:00 Ted Stern <dodecatheon@gmail.com>: > It would help to have a column for "Total 1-votes" also. > Yes, but I couldn't fit more columns in my email (obviously, it depends what reader you use). I didn't say what the weakened Frohnmayer balance that it passes is. Here goes: *for any given election outcome*, and for any given ballot X, there is a ballot anti-X such that if you add both X and anti-X, the outcome order is preserved. (This differs from standard Frohnmayer balance in the underlined part. But basically the only part of the election outcome that matters is the list of which candidates are eliminated.) I am pretty satisfied with this rule. It's summable; it works for reasonable chicken-dilemma and center-squeeze scenarios; it can be stated in one sentence, and has some intuitive appeal. So I think that MAS 3.2 will probably become MAS 4.0, that is, canonical MAS. Going once.... (that is, once I say this two more times, it will be definitive.) > On Fri, Oct 14, 2016 at 1:40 PM, Jameson Quinn <jameson.quinn@gmail.com> > wrote: > >> The table I sent had mistakes in the B row. Here it is, fixed: >> >> >> >> 2-votes >> >> 1-votes >> >> 0-votes >> >> Blanks >> >> Total 0-votes >> >> Score >> >> A >> >> 30 >> >> 0 >> >> 0 >> >> 70 >> >> 0+70*.7=49 >> >> 81 >> >> B >> >> 25 >> >> 19 >> >> 0 >> >> 56 >> >> 0+56*.75=42 >> >> 83 >> >> C >> >> 40 >> >> 0 >> >> 40 >> >> 20 >> >> 40+20*.6=52 >> >> (88) >> >> D >> >> 25 >> >> 7 >> >> 0 >> >> 68 >> >> 0+68*.75=51 >> >> (74) >> >> -- >> You received this message because you are subscribed to the Google Groups >> "The Center for Election Science" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to electionscience+unsubscribe@googlegroups.com. >> For more options, visit https://groups.google.com/d/optout. >> > > -- > You received this message because you are subscribed to the Google Groups > "The Center for Election Science" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to electionscience+unsubscribe@googlegroups.com. > For more options, visit https://groups.google.com/d/optout. >