# Mixed Condorcet-Plurality

Buddha Buck bmbuck at 14850.com
Tue Apr 10 13:30:02 PDT 2001

```At 03:00 PM 04-10-2001 -0500, you wrote:
>Demorep,
>
> > 34 ABC
> > 33 BCA
> > 32 CAB
> > 99
>
>By the reasonable assumption that voters put the most energy into their
>first rank choice, and lower ranks demonstrate cyclic preferences, I'm
>completely willing to abandon majority rule and give victory to A with 34%
>of the vote in your example. This is a good demonstration for me where
>plurality is a reasonable choice.

It doesn't seem to matter to me...

Plurality: A got the most first-place votes, so A is the winner.

IRV: C got the least first-place votes, so is eliminated.  All of C's votes
transfer to A, so A wins 66:33

Condorcet:  There is no Condorcet Winner, but the list of pairwise defeats
is (ordered by strength): B>C 67:32, A>B 66:33, C>A 65:34.  Tideman (Ranked
Pairs), SSD, and most other methods I know of off the top of my head would
all drop the C>A defeat first, leaving A undefeated, and thus the winner.

Approval: Not Applicable (Not enough information on ranked ballots to use
Approval)

If all the applicable methods give the same result, I'm uncertain what the
example is trying to show.  That Plurality sometimes gets it right?

Here's an example where Plurality, Condorcet, and IRV all yield different
results!

45 ABC
35 CBA
20 BCA

Plurality: A wins
IRV: B is eliminated, and 20 votes transfer to C, C wins
Condorcet: B defeats A 55:45, B defeats C 65:35, B wins

>Tom

```