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'''Definite Majority Choice''' (DMC) is a [[voting method]] proposed by several (name suggested by [http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-March/015164.html Forest Simmons]) to select a single winner using ballots that express preferences,both withranked an additional indication ofpreferences Approvaland Cutoffapproval.
 
If there is a candidate who is preferred over the other candidates,
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=== The Ballot ===
A voter ranks candidates in order of preference, andadditionally maygiving decideapproval points to rank some candidatesor withoutall givingof themthose approvalranked.
 
==== Using Grades to Rank Candidates ====
Many people are familiar with the standard method of giving grades A-plus through F-minus. Most are also familiar with the Pass/Fail form of grading. A student receives grades from many instructors and on finishing school has a total grade point average or pass/fail total.
A [[Graded Ballot]] ballot implementation would infer the ordinal ranking from the grades given to candidates.
 
A similar idea could be used to rank candidates -- a voter could grade candidates as if the voter were the instructor and the candidates were the students. Determining the winner of the election would be similar to finding the student with the best set of grades.
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A B C D F + / -
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Like an instructor grading students, a voter may give the same grade (rank) to more than one candidate. But here, there is one additional grade -- no grade at all. Ungraded candidates are ranked lower than all graded candidates. By giving one candidate a higher grade than another, the voter gives the higher-graded candidate one vote in its one-to-one contest with the lower-graded candidate.
 
AC voter may giveis the same"Lowest gradePassing Grade" (rankLPG): to moreany thancandidate with a grade of C or higher gets one candidateApproval point. No UngradedApproval candidatespoints are given to candidates graded (ranked)at C-minus or below all(that gradedincludes ungraded candidates).
 
A candidate gets one vote in the one-to-one contest with any other candidate with a lower grade (rank).
 
C is the "Lowest Passing Grade" (LPG): any candidate with a grade of C or higher gets one Approval point. No Approval points are given to candidates graded at C-minus or below or to ungraded candidates.
 
A candidate's total approval score will be used like the 'seed' rating in sports tournaments, to decide which one-to-one contestsvictories haveare greaterworth weightmore than others.
 
Grades assigned to non-passing (disapproved) candidates help determine which of them will win if the voter's approved candidates do not win.
 
In small raceselections it should be sufficientadequate for a voter to grade only 2 or 3 candidates, but in crowded races, there is the optionvoter tocould also add a plus or minus toon the grade,. allowing That allows a voter to rank candidates atspecify up to 16 different rank levels: 8 approved (A-plus to C) and 8 unapproved (C-minus to unranked).
 
With the Approval Cutoff / Lowest Passing Grade at C instead of C-minus, an indecisive voter can be hesitant about granting approval by initially filling in a grade of C. If after reconsideration the voter decides to withold approval, the minus can then be checked.
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Ranks 1 through 4 would be approved, 5 through 7 and ungraded (rank 8) would be unapproved.
 
The voting method would be unchanged otherwise:
# Candidates receivingranked rankat 11st through 44th wouldchoice get 1 approval point each.
# A higher-ranked candidate gets one vote in each one-to-one contest with lower-ranked candidates.
 
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