Quota Borda system
Encyclopedia
The Quota Borda System or Quota Preference Score is a voting system
that was devised by the British philosopher Michael Dummett
and first published in 1984 in his book, Voting Procedures, and again in his Principles of Electoral Reform.
If proportionality is required in a Borda count
election, a quota element should be included into the counting procedure, which works best in multi-member constituencies of either 4 or 6 members. The threshold used is the Droop quota
; in a single-seat constituency, the quota is an absolute majority, i.e., (50% + 1) of the valid vote; in a 2-seat constituency, it is (33% + 1); in a 3-seat, it's (25% + 1); and in a 4-seat, it is (20% + 1) of the valid vote.
The four-seat selection goes as follows;
Stage i) Any candidate gaining a quota of 1st preferences is elected.
Stage ii) Any pair of candidates gaining 2 quotas is elected. (A pair of candidates, Ms J and Mr M, say, gains 2 quotas when that number of voters vote either 'J-1, M-2' or 'M-1, J-2'.) If seats still remain to be filled, then, ignoring all those candidates who have already been elected;
Stage iii) Any pair of candidates gaining 1 quota gains 1 seat, and the seat is given to the candidate of that pair who has the higher Modified Borda Count score.
Stage iv) Any seats still remaining are given to those candidates with the highest Modified Borda Count scores.
Voting system
A voting system or electoral system is a method by which voters make a choice between options, often in an election or on a policy referendum....
that was devised by the British philosopher Michael Dummett
Michael Dummett
Sir Michael Anthony Eardley Dummett FBA D.Litt is a British philosopher. He was, until 1992, Wykeham Professor of Logic at the University of Oxford...
and first published in 1984 in his book, Voting Procedures, and again in his Principles of Electoral Reform.
If proportionality is required in a Borda count
Borda count
The Borda count is a single-winner election method in which voters rank candidates in order of preference. The Borda count determines the winner of an election by giving each candidate a certain number of points corresponding to the position in which he or she is ranked by each voter. Once all...
election, a quota element should be included into the counting procedure, which works best in multi-member constituencies of either 4 or 6 members. The threshold used is the Droop quota
Droop Quota
The Droop quota is the quota most commonly used in elections held under the Single Transferable Vote system. It is also sometimes used in elections held under the largest remainder method of party-list proportional representation . In an STV election the quota is the minimum number of votes a...
; in a single-seat constituency, the quota is an absolute majority, i.e., (50% + 1) of the valid vote; in a 2-seat constituency, it is (33% + 1); in a 3-seat, it's (25% + 1); and in a 4-seat, it is (20% + 1) of the valid vote.
The four-seat selection goes as follows;
Stage i) Any candidate gaining a quota of 1st preferences is elected.
Stage ii) Any pair of candidates gaining 2 quotas is elected. (A pair of candidates, Ms J and Mr M, say, gains 2 quotas when that number of voters vote either 'J-1, M-2' or 'M-1, J-2'.) If seats still remain to be filled, then, ignoring all those candidates who have already been elected;
Stage iii) Any pair of candidates gaining 1 quota gains 1 seat, and the seat is given to the candidate of that pair who has the higher Modified Borda Count score.
Stage iv) Any seats still remaining are given to those candidates with the highest Modified Borda Count scores.
External links
- On Dummett's 'Quota Borda System' Article by Markus Schulze.
- Single Transferable Vote with Borda Elimination: A New Vote Counting System Article by Chris Geller.