Consistency, Truncation, etc. (was CR ballots, etc.)
Bart Ingles
bartman at netgate.net
Fri Oct 5 23:08:24 PDT 2001
DEMOREP1 at aol.com wrote:
>
> fsimmons at pcc.edu wrote in part -
>
> What are the counter-intuitive results of Approval?
>
> ----
> D- A *real* first choice can lose (if rankings were being used).
>
> 48 A
> 3 AC
> 1 BC
> 48 C
>
> 100
>
> Approval
>
> A 51 (all *real* first choice votes)
> B 1
> C 52 (wins using simple Approval) (very unlikely but it can happen)
But you don't show why the AC voters would WANT to vote this way.
Assuming the three voters prefer A to C, your example above is
equivalent to a ranked example where the same three rank A and C equal
in first place, for unknown reasons, and with the same result.
48 A > B=C
3 A=C > B
1 B=C > A
48 C > A=B
If the voters under either Approval or Condorcet wish to vote this way,
perhaps because they perceive B or some other unlisted candidate as more
of a threat, then I have no problem with this. It's up to the
individual voters to weight the costs and benefits of any voting
strategy.
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