[EM] Fwd: (3) MJ -- The easiest method to 'tolerate'
C.Benham
cbenham at adam.com.au
Wed Sep 7 05:17:47 PDT 2016
3: A
20: A>B
25: B>A
3: B
20: C>B
29: C
C > B 49-48, C > A 49-48, B > A 48-23.
Top Ratings scores: C 49, B 28, A 23
Approval scores: B 68, C 49, A 48.
On 9/7/2016 7:09 AM, Jameson Quinn wrote:
> IBIFA elects C. U/P elects B. It's clear to me that B is better. The 3
> A-only voters are likely attempting a chicken strategy.
C: C is the clearly voted Condorcet winner and by far the most top-rated
candidate. The suggestion that "B is better" because of
some guess that 3 truncators are "likely" attempting some strategy is
absurd.
The best we can reasonably do about chicken strategy is just prevent (or
reduce the likelihood of) it from succeeding. If the 3 A voters' were
attempting a
"chicken" (defection) strategy against B, then electing C means it failed.
BTW, if we weaken all the candidates by 3 plumping votes each, thus:
20: A>B
25: B>A
20: C>B
26: C
then the U/P winner would change from B to C.
Chris Benham
On 9/7/2016 7:09 AM, Jameson Quinn wrote:
>
>
> 2016-09-06 16:07 GMT-04:00 C.Benham <cbenham at adam.com.au
> <mailto:cbenham at adam.com.au>>:
>
> On 9/7/2016 1:21 AM, Jameson Quinn wrote:
>>
>> 40: D>...>A,B
>> 35: A>B>D
>> 25: B>...>A,D
>
> ...
> But then IBIFA elects B.
>
>
> You're right. So, let's find a situation where they actually differ:
>
>> 5: C>B>A,D
>> 5: C>A>B,D
>> 30: D>...>A,B,C
>> 35: A>B>D,C
>> 25: B>...>A,D,C
> In this scenario, IBIFA elects A, and U/P (my new name for DA, as I
> stated separately) elects B. I'd still argue that B is the right
> answer... though I think this whole scenario (and any other I can
> think of where the two systems differ) is getting pretty implausible,
> so it's hardly worth arguing.
>
> No candidate X's Top-Rating score is higher than any candidate Y's
> approval (i.e. above-bottom rating) score on ballots that don't
> top-rate X, so
> IBIFA elects the most approved candidate, B.
>
>> Obviously, one could tweak these numbers to try to make one or
>> the other system look better or worse.
>
> C: Well then I am very curious to see any example where IBIFA
> "looks worse" than DA.
>
>
> In your format:
> 3: A
> 20: A>B
> 25: B>A
> 3: B
> 20: C>B
> 29: C
>
> IBIFA elects C. U/P elects B. It's clear to me that B is better. The 3
> A-only voters are likely attempting a chicken strategy.
>
> This is an artificial scenario designed to make IBIFA look bad. You
> could do the same to make it look good. I don't think this proves
> anything besides the fact that IBIFA is not strictly dominant over U/P.
>
>
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