Definite Majority Choice: Difference between revisions

If equal approval scores affect the outcome (which only occurs when there is no candidate who defeats all others), there are several alternatives for approval-tie-breaking. The procedure that would be most in keeping with the spirit of DMC, however would be to initially rank candidates

# In descending order of approval score

# If equal, in descending order of Bucklin count

# If equal, in descending order of total first-, second- and third-place votes

# If equal, in descending order of total first-place votes

# If equal, in descending order of "Grade Point Average" (i.e., total Cardinal Rating)

With ranked choice ballots, the Bucklin count is determined by first counting all first place votes, then successively adding in lower preference votes until one candidate has more than 50%. This is a graduated form of approval. When an approval cutoff is added to the ballot, however, we make this additional change -- the lower preference votes are not added into the Bucklin scores if they are below the cutoff.

When there are no ties, the winner is the least approved member of the definite majority ([[Techniques_of_method_design#Special_sets|P]]) set.

When the least-approved member of the definite majority set has a pairwise tie or disputed contest (say, margin within 0.01%) with another member of the definite majority set, there is no clear winner. In that case, pairwise ties could be handled using the same [[Maximize_Affirmed_Majorities#Compute_Tiebreak|Random Ballot]] procedure as in [[Maximize Affirmed Majorities]].

Alternatively, the winner could be decided by using a random ballot to choose the winner from among the definite majority set, as in [[Imagine_Democratic_Fair_Choice}Imagine Democratic Fair Choice]].