[EM] [ER] FBC-complying Margins-like method (?)

[Chris Benham]

Kevin,

Yes  I am sure you are right, thanks.  Probably then I'll stick with 
MDD,ER-Bucklin(whole) as
my favourite FBC  method.

Chris  Benham



Kevin Venzke wrote:

>Chris,
>
>--- Chris Benham <chrisbenham at bigpond.com> a écrit :
>  
>
>>Kevin, Warren, other FBC freaks,
>>
>>I've recently had an idea for a FBC-complying  Margins method.
>>
>>"Voters rank the candidates, equal-ranking and truncation allowed.
>>(1) Make  pairwise comparisons. Treating pairwise defeats by margins 
>>that are smaller
>> than or equal to the number of ballots on which both candidates are 
>>ranked equal-top
>>as pairwise equalities,  eliminate candidates that are not in the 
>>smallest non-empty set of 
>>candidates that are pairwise undefeated by any outside-the-set
>>candidates.
>>
>>(2)If  more than one candidate remains, drop eliminated candidates from 
>>the ballots and
>>then delete ballots that make no ranking distinction between remaining 
>>candidates, and repeat
>>step 1.
>>    
>>
>
>There are two reasons why I don't believe this can work.
>
>1. You're using a beatpath concept. Although you're replacing certain
>wins with pairwise ties, it could be that a pairwise tie between X and
>Y is what causes them to be excluded from the top tier. Replacing wins
>with ties only helps to satisfy FBC when it's clear that a tie between
>X and Y is at least as good for them as one of them beating the other.
>
>2. You're eliminating candidates and recalculating. I think all you
>can afford to do is disqualify candidates without recalculating anything.
>Elimination makes it difficult to foresee what a specific vote is capable 
>of doing across multiple rounds. It's much the same issue as Raynaud
>or Nanson failing monotonicity.
>
>Kevin Venzke
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