Graduated Majority Judgment: Difference between revisions

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# Each voter grades each candidate on a grading scale such as A, B, C, D, F
# The top-grade (eg, A) votes for each candidate are tallied.
# If a single candidate has a majority (that is, a number of votes greater than or equal to 50% of voters), they win.
# If no candidate has a majority, the next grade down (eg, B) is added to the tally, and go back to step 3.
# If more than one candidate has a majority, the last grade tallied is removed from the tallies, and then re-added at the smallest fraction possible so that some candidate has a majority. This is as if the votes at that grade were added 1% at a time until one candidate gets a majority.
 
The above process is conceptually simple, but difficult in practice. The following process gives the same results, and is simpler to run in practice:
 
 
# Each voter grades each candidate on a grading scale such as A, B, C, D, F
# Each grade for each candidate is tallied.
# The tallies are used to find the median grade for each candidate.
# Tallies are added to find the V(>M), V(@M), and V(><M) (that is, votes above median, votes at median, and votes below median or blank) for each candidate.
# A candidate's adjustment is a number between -0.5 and +0.5, calculated using the formula (V(>M) - V(<M)) / (2 * V(@M))
# The candidate with the highest adjustment among those with the highest median, wins.
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If medians are converted to integers (such as 0-4), then the adjusted median scores can easily be reported alongside the full tallies.
 
[[Category:Graded Bucklin systemsmethods]]