Definite Majority Choice: Difference between revisions

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=== Tallying Votes ===
=== Tallying Votes ===


Rankings are added into a Round-Robin array, and the approval scores of each candidate are tabulated into the otherwise unused diagonal entries.
Rankings are added into a pairwise array. The approval scores of each candidate can be stored the diagonal cells, which are unused in other non-Approval-Condorcet hybrids.


To determine the winner:
To determine the winner:
# Eliminate any candidate that is defeated in a one-to-one match with any other higher-approved candidate. So by 2 different measures, a definite majority agrees that candidate should be eliminated.
# Eliminate any candidate that is defeated in a one-to-one match with any other higher-approved candidate. So by 2 different measures, a definite majority agrees that candidate should be eliminated.
#If more than one candidate remains, the winner is the single candidate that defeats all others in one-to-one (pairwise)contests.
#If more than one candidate remains, the winner is the single candidate that defeats all others in one-to-one (pairwise)contests.

A simple way to implement this is to permute the pairwise array so that candidates are listed in order of approval.

Then, starting with the diagonal cell corresponding to the least-approved candidate, examine all the cells in the column above the diagonal. If the candidate loses to any higher-approved candidates, proceed up the diagonal to the approval rating of the next-higher-approved candidate.

The winner is the first candidate found with no losses to higher-approved candidates.

'''Can this be made clearer? --[[User:Araucaria|Araucaria]] 15:05, 21 Mar 2005 (PST)'''


=== Handling Ties and Near Ties ===
=== Handling Ties and Near Ties ===