[EM] Approval-enhanced IRV

[C.Benham]

This idea is inspired by our recent and ongoing "war on Burial".

Approval-enhanced IRV

*Voters strictly rank from the top however many candidates they choose 
and have the option of
marking their highest-ranked approved candidate. Default approval is to 
only the candidate ranked
above all others.

Find the winner of the pairwise comparison between the IRV winner and 
the candidate X with the most
approval opposition to the IRV winner.

The IRV winner is elected if it wins (or say if ties) that pairwise 
comparison.

If X wins it, then do the whole thing again as if all ballots truncate 
just below X.

If that doesn't produce a new winner, then elect X.

If it does, then elect the original IRV winner.*

This should hang on to LNHelp while meeting modified versions of LNHarm 
and Minimal Defense.

Here is a  maybe-good-enough-most-of-the-time shorter prettier variation:

*Voters strictly rank from the top however many candidates they choose 
and have the option of
marking their highest-ranked approved candidate. Default approval is to 
only the candidate ranked
above all others.

If the IRV winner is also the most approved candidate then it is elected.

Otherwise elect the winner of the pairwise comparison between the IRV 
winner and the candidate
with the most approval opposition to the IRV winner.*

Not a Condorcet method and probably nothing like a practical proposal.

Chris Benham