Jobst,

What about this method that doesn't even draw a ballot unless it first 
eliminates the approval winner?

1. Let x be the percentage of the ballots approving the approval winner X.

2. Elect X with probability g(x), else elect the favorite of a randomly drawn 
ballot.        

This method lacks the "bullet voters' guarantee" of proportional probability, 
but almost any increasing pdf g solves the 
challenge problem.

Forest                                                                          
      
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