[EM] A Proportionally Fair Consensus Lottery for which Sincere Range Ballots are Optimal

[Raph Frank]

This is effectively performing random ballot and then giving the
voters the option to roll the dice a second time.

Any single seat method could be used to select the first candidate.
If you used a good single seat method to pick the compromise winner,
then the random ballot would rarely if ever be activated.

For example.

1) Voters submit ratings ballot and also a ranked or an approval ballot
2) Determine the winner using condorcet or approval (or other method)
3) Determine the random ballot odds for each candidate
4) If a majority prefer the winner in 2 to the expectation in 3), then
the winner from 2 wins.
5) Otherwise, use the random method

Ofc, using a majority instead of a unanimous decision breaks some of
the properties of the pure consensus method.