Definite Majority Choice: Difference between revisions

Content added Content deleted
imported>Araucaria
imported>Araucaria
Line 76: Line 76:


=== Tallying Votes ===
=== Tallying Votes ===
The rankings on a single ballot are added into a round-robin table using the standard [[Condorcet_method#Counting_with_matrices|Condorcet pairwise matrix]] method: the higher ranked candidates are given one vote in each of their pairwise contests with lower ranked candidates.
The rankings on a single ballot are added into a round-robin table using the standard [[Condorcet_method#Counting_with_matrices|Condorcet pairwise matrix]] method: When a ballot ranks / grades one candidate higher than another, it is saying that the first candidate receives one vote in the one-to-one contest against the other.


The Condorcet pairwise matrix can also be used to store each candidate's Approval point score, in the otherwise-unused diagonal cell.
Since the diagonal cells in the Condorcet pairwise matrix are usually left blank, those locations can be used to store each candidate's Approval point score.


We call a candidate '''Strongly defeated''' when that candidate is pairwise defeated by any other candidate with higher Approval rating. This kind of defeat is also called an Approval-consistent or [http://wiki.electorama.com/wiki/Techniques_of_method_design#Defeats_and_defeat_strength definitive defeat].
We call a candidate [[Techniques_of_method_design#Defeats_and_defeat_strength|Definitively defeated]] when that candidate is defeated in a one-to-one contest against any other candidate with higher Approval score. This kind of defeat is also called an Approval-consistent defeat.


To determine the winner:
To determine the winner:
# Eliminate all strongly defeated candidates.
# Eliminate all definitively defeated candidates.
# The winner is the candidate that pairwise defeats all other remaining candidates.
# The winner is the candidate that pairwise defeats all other remaining candidates.