[EM] Hybrid/generalized ranked/approval ballots

[Peter Zbornik]

Dear all

If we study Condorcet voting with the two types of ballots: ranked and
hybrid, then the differences can be drastic:

Normal ranked ballots:
30 B>C>A
30 A>C>B
1 C (i.e. C>A=B, when using Schulze, see
http://en.wikipedia.org/wiki/Schulze_method#Ballot)
1 C>B>A

Pairwise preferences
A B C
A 30 30
B 31 30
C 32 32

Thus C wins

Hybrid ranked ballots (replace two > with = in the example above):
30 B>C=A
30 A>C=B
1 C (i.e. C>A=B)
1 C>B>A

A B C
A 30 30
B 31 30
C 2 2

Thus B wins.

I hope I calculated correctly.

As a voter, I would prefer the hybrid ballot, as it gives me more expressive
power, unless this kind of ballot has some other weakness when used.

Best regards
Peter Zborník

On Sun, May 9, 2010 at 2:26 PM, Peter Zbornik <pzbornik at gmail.com> wrote:

> Dear all,
>
> have the properties of hybrid or generalized ranking/approval ballots been
> examined?
> A hybrid/generalized ranking/approval ballot is a ballot, with where the
> voter ranks the candidates by either > or = without any other restrictions.
> Say we have seven candidates ABCDEFG.
> Say the voter likes A the most, then BC the same, then DE the same and last
> FG.
> Then instead of having the ranking A>B>C>D>E>F>G, or some approval of ABC
> for instance, the ballot would look like
> A>B=C>D=E>F=G.
> For this type of ballot, the approval and ranked ballot would be a special
> case.
> I speculate that, such a hybrid ballot might take the best of two worlds:
> the expressiveness of the fully ranked ballot and the robustness of the
> approval voting ballot.
>
> The voters (at least I) would most likely appreciate this liberation of
> their preferences, since they might themselves decide to use a fully ranked
> ballot, an approval ballot or something inbetween.
>
> It seems that for instance the Schulze single-winner method allows for a
> simplified hybrid system, as it allows for not listing all candidates.
>
> Would be nice to know your thoughts on this.
> Are hybrid ranked ballots a good idea?
> Would your preferred methods be able to handle hybrid?
>
> Best regards
> Peter Zborník
>
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