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The matrix vote is a voting procedure which can be used when one group of people wishes to elect a smaller number of persons, each of whom is to have a different assignment. Examples of its use are:
#when an association elects its executive committee; and
#when a parliament elects its all-party power-sharing What is a Matrix Vote?
/ref>
The matrix vote is a voting procedure which can be used when one group of people wishes to elect a smaller number of persons, each of whom is to have a different assignment. Examples of its use are:
#when an association elects its executive committee; and
#when a parliament elects its all-party power-sharing coalition government
A coalition government, or coalition cabinet, is a government by political parties that enter into a power-sharing arrangement of the executive. Coalition governments usually occur when no single party has achieved an absolute majority after an ...
.
Consider the situation in which a parliament elects a government of ten ministers.
* The ballot paper
A ballot is a device used to cast votes in an election and may be found as a piece of paper or a small ball used in voting. It was originally a small ball (see blackballing) used to record decisions made by voters in Italy around the 16th centu ...
is tabular, a matrix, ten by ten: on one axis are listed the ten ministerial posts to be elected, and on the other axis are the ten preferences.
* Each MP then casts one vote (of a maximum) of ten preferences, naming the ten ministers in her order of preference, and saying at the same time in which ministerial post she wishes each of her nominees to serve. A full ballot
A ballot is a device used to cast votes in an election and may be found as a piece of paper or a small ball used in voting. It was originally a small ball (see blackballing) used to record decisions made by voters in Italy around the 16th cent ...
will contain one name in each column, and one name in each row: that is, she identifies, in her order of preference, ten nominees, one for each of the ten ministerial posts.
* The count is in two stages: a Quota Borda system
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''.
...
(QBS) is used to identify the ten most popular candidates; and then a Modified Borda Count determines which of these successful candidates will serve in which ministry.
The matrix vote is proportional. It is ideally suited, therefore, to the formation of power-sharing governments, especially in post-conflict scenarios, and not least because it works without any resort to party or sectarian labels./ref>
References
Electoral systems {{poli-term-stub