[Election-Methods] Challenge Problem

[fsimmons at pcc.edu]

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