Definite Majority Choice: Difference between revisions

# Eliminate all definitively defeated candidates. Let us call the set of remaining candidates the Definite Majority set.

# The winner is the single candidate who pairwise defeats (wins head-to-head contests with) all other remaining candidates in the Definite Majority set.

DMC always selects the [[Condorcet Criterion|Condorcet Winner]], if one exists, and otherwise selects a member of the [[Smith set]]. Step 1 has the effect of successively eliminating the least approved candidate in the Smith set (and then recalculating the new Smith set), and repeating until a single winner exists. But Step 1 also allows higher-approved candidates outside the Smith set, such as the Approval Winner, to remain in the setDefinite ofMajority non-strongly-defeated candidatesset.