[Election-Methods] Challenge: Elect the compromise when there're only 2 factions

[Howard Swerdfeger]

Jobst Heitzig wrote:
> A common situation: 2 factions & 1 good compromise.
> 
> The goal: Make sure the compromise wins.
> 
> The problem: One of the 2 factions has a majority.
> 
> A concrete example: true ratings are
>    55 voters: A 100, C 80, B 0
>    45 voters: B 100, C 80, A 0
> 
> THE CHALLENGE: FIND A METHOD THAT WILL ELECT THE COMPROMISE (C)!
> 
> The fine-print: voters are selfish and will vote strategically...
> 

If the majority is close (ie 55-45) and you randomly select only a small 
number of ballots (say 10ish). It is possible that B will have more 
supporters selected. fear of this will lead supporters of A to vote true 
preference, as will the reverse in B supporters.

Then we can use approval or Range.