[EM] Blake's margins arguments
Adam Tarr
atarr at purdue.edu
Tue Feb 18 05:22:50 PST 2003
Tom McIntyre Wrote:
>>101: A
>>50: BAC
>>100: CBA
>>
>>About 60% of the voters have indicated that they'd rather elect
>>B than A. And so margins elects A.
>>
>>WV counts, keeps, & honors the B>A majority. A has a majority defeat that
>>wv doesn't lose or erase. With margins, what happens to that majority
>>against A? Margins erases it.
>
>And about 60% prefer A to C. What about honoring *that* majority? One of
>these majorities has to be lost. Both WV and margins count, keep, & honor
>one of them, and erase the other.
The A over C defeat is not erased. The only way you could consider that
defeat erased, would be if C had won the election. Take the extreme
example: say there was a fourth candidate, "Adam Tarr", who received zero
votes. Does electing A, B, or C constitute "erasing a majority", because
the other two candidates' defeats of mr. Tarr are not counted? Of course
not. Such a standard would force us to declare every nontrivial
multicandidate election as a tie.
A defeat can only be considered erased if the candidate who suffered that
defeat is actually elected. The only defeat that winning votes overturns
in the above example is the 100>50 defeat of B by C. Margins keeps this
defeat, but overturns the 150>101 defeat of A by B.
I may write a more lengthy follow up to Mike's post, but I won't have time
until Thursday at the earliest.
-Adam
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