Definite Majority Choice: Difference between revisions

We call a candidate [[Techniques_of_method_design#Defeats_and_defeat_strength|Definitivelydefinitively defeated]] when that candidate is defeated in a head-to-head contest against any other candidate with higher Approval score. This kind of defeat is also called an ''Approval-consistent defeat''.

To determine the winner:,

# Eliminate all definitively defeated candidates. Let usWe call the set of remaining candidates the Definite'''definite Majoritymajority set'''.

# The winner is the single candidate who pairwise defeats (wins head-to-head contests with) all other candidates in the Definitedefinite Majoritymajority 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 Stepthe definite majority set 1may also allowscontain higher-approved candidates outside the Smith set,. such asFor example, the Approval Winner, towill always be a remainmember inof the Definitedefinite Majoritymajority set.