[EM] Multiwinner Condorcet generalization on 1D politics

[Raph Frank]

I read somewhere that for most legislators, their voting record can be
defined using 2 dimensions.

(Found something that might be it:  http://saweis.net/svd/ )

Anyway, the basic point is that you can place each member of a
legislature on a 2-d plane based solely on their voting records and
then use that to predict future votes.  You don't need to actually
know what the votes are about.

I wonder if a similar trick could be used with voters who submit a
ranked ballot.

You could try each possible ordering of the candidates.  The result
that gives the fewest contradictions could be the considered the
actual ordering of the candidates.

You could then go through all the ballots and place them in a position
that minimises the number of contradictions.  (Alternatively, you
could just place them beside their favourite on the same side as their
2nd preference).

Finally, you could then pick the percentile candidates.

Ofc, there may be some serious strategy issues with people's rankings.