Definite Majority Choice: Difference between revisions

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DMC chooses the same winner as (and could be considered equivalent in most respects to) [[Ranked Approval Voting]] (RAV) (also known as Approval Ranked Concorcet), and [[Pairwise Sorted Approval]] (PSA).
DMC chooses the same winner as (and could be considered equivalent in most respects to) [[Ranked Approval Voting]] (RAV) (also known as Approval Ranked Concorcet), and [[Pairwise Sorted Approval]] (PSA).

''How do I get a Table of Contents to display in here? --[[User:Araucaria|Araucaria]] 12:22, 21 Mar 2005 (PST)''


== Procedure ==
== Procedure ==


=== The Ballot ===
⚫
Voters can grade their choices from favorite (A) to least preferred (ungraded), and give some or all of their graded choices a "passing grade" to signify approval.


⚫
One implementation of Definite Majority Choice might use a [[Graded Ballot]] with a Lowest Passing Grade option. Voters can grade their choices from favorite (A) to least preferred (ungraded), and give some or all of their graded choices a "passing grade" to signify approval.
Graded rankings added into a Round-Robin array, and the approval
scores of each candidate are tabulated as well.

⚫
To determine the winner:
⚫
# Eliminate any candidate that is defeated in a one-to-one match with any other higher-approved candidate. So by 2 different measures, a definite majority agrees that candidate should be eliminated.
⚫
#If more than one candidate remains, the winner is the single candidate that defeats all others in one-to-one (pairwise)contests.

One implementation of Definite Majority Choice might use a [[Graded Ballot]] with a Lowest Passing Grade option:


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You can give the same grade to more than one candidate. By default, each graded candidate gets a "passing grade" and one Approval point.
A voter can give the same grade to more than one candidate. If not given a higher grade, he LPG candidate has a grade of G by default, giving each graded candidate a "passing grade", or one Approval point.


Ungraded candidates are graded below all others and get no Approval points.
Ungraded candidates are graded below all others and get no Approval points.


Optionally, a voter can specify a Lowest Passing Grade (LPG), which means that any graded candidates with lower grades get no approval points.
A voter may optionally specify a Lowest Passing Grade (LPG), which means that any graded candidates with lower grades will receive no approval points.


If this were a vote for president, one could compare the LPG selection to Gerald Ford. One might disagree whether he was a good or bad president, but anybody better than him would be a good president, and anybody worse than him would be bad.
If this were a vote for president, one could compare the LPG 'candidate' to Gerald Ford. One might argue whether he was a good or bad president, but anybody better would be a good president, and anybody worse would be bad.


The main reason to grade candidates below the "Gerald Ford" mark would be if you're not optimistic about the chances for your higher-ranked favorite and compromise candidates. Grading candidate X below the LPG mark gives you a chance to say "I don't like X and
The main reason for a voter to grade candidates below the "Gerald Ford" mark would be if the voter is not optimistic about the chances for higher-ranked favorite and compromise candidates. Grading candidate X below the LPG mark gives the voter a chance to say "I don't like X and don't want him to win, but of all the alternatives, he would make the fewest changes in the wrong direction. I won't give him a passing grade because I want him to have as small a mandate as possible." This allows members of the minority to have some say in the outcome, instead of leaving the choice to the strongest core support within the majority faction.

don't want him to win, but of all the alternatives, he would make the fewest changes in the wrong direction. I won't give him a passing grade because I want him to have as small a mandate as possible." Then you have some say in the outcome, instead of leaving the choice among the alternatives to the most vocal and extreme parts of other factions.
=== Tallying Votes ===

Rankings are added into a Round-Robin array, and the approval scores of each candidate are tabulated into the otherwise unused diagonal entries.

⚫
To determine the winner:
⚫
# Eliminate any candidate that is defeated in a one-to-one match with any other higher-approved candidate. So by 2 different measures, a definite majority agrees that candidate should be eliminated.
⚫
#If more than one candidate remains, the winner is the single candidate that defeats all others in one-to-one (pairwise)contests.


== Handling Ties and Near Ties ==
=== Handling Ties and Near Ties ===


In ordinary DMC, the winner is the candidate in Forest Simmon's '''[http://wiki.electorama.com/wiki/Techniques_of_method_design#Special_sets P]''' set, the ''set of candidates which are not approval-consistently defeated''.
In ordinary DMC, the winner is the candidate in Forest Simmon's '''[http://wiki.electorama.com/wiki/Techniques_of_method_design#Special_sets P]''' set, the ''set of candidates which are not approval-consistently defeated''.
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