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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:

1. when an association elects its executive committee; and
2. when a parliament elects its all-party power-sharing coalition government.

Consider the——situation in which a parliament elects a government of ten ministers.

• The ballot paper 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 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 (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.

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