[EM] another CR/Approval method
Forest Simmons
fsimmons at pcc.edu
Thu Oct 2 09:54:02 PDT 2003
Here's yet another approach that uses the same basic idea as Gradual Info
Approval. I call it "up the ante approval" or "Auntie" for short:
Initialize the "approval ante" as 0.
Mark all candidates as "viable" initially.
Initialize all candidates' approval at 1 (or any other value greater than
zero).
While more than one candidate is marked "viable" ...
On each ballot calculate the new approval cutoff as a weighted average
of the viable candidates' CR values, where the weights are the most recent
respective candidate approvals decreased by the most recent "approval
ante".
Calculate all candidates' new approvals based on the new approval
cutoffs.
Up the ante, i.e. increment the approval ante.
Erase the old viability marks, and mark as viable all candidates with
approval greater than the new approval ante.
End While
The winner is the candidate with the highest approval value in the last
approval calculation inside the while loop.
Note that in this method as the approval ante begins to overtake a
candidate's approval, that candidate weighs less and less in the cutoff
calculation (unless the other candidates are being over taken at a faster
rate).
To be continued ...
Forest
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