Kevin

Too bad we cannot discard even more information, like the fact of a majority 
winner that isn't one of the 
contestants in the contest picked by the approval votes.

If it weren't impractical, the ideal mode for this election would be an 
approval vote for the explicit purpose 
of determining who would be in the runoff, and a later trip to the polls with 
only those two names on the 
ballot.

Another thought: make the single contest between the approval winner A and the 
candidate B with the 
most approval on the ballots that did not approve A.  If B's total approval is 
less than the number of 
ballots on which A is approved without B, then no runoff is needed.

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