Now that we have a good definition of honest approval strategy, we can 
automatically adapt methods 
(like PAV) that are based on approval style ballots to cardinal ratings style 
ballots.

Definition: Honest Approval Strategy: Approve your k top ranked candidates, 
where k is the sum of 
your cardinal ratings (on a scale of zero to one) rounded to the nearest whole 
number.

So given a set of Range/Score/Grade ballots, first convert them to cardinal 
ratings on a scale of zero to 
one. Then use honest approval strategy to convert these ratings ballots to 
approval style ballots.  
Finally apply PAV (or whatever approval method you like) to determine who gets 
elected.
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