The matrix vote 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. Let us consider the situation in which a parliament elects a government of ten ministers.

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  • The matrix vote 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. Let us 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. (en)
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  • The matrix vote 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. Let us consider the situation in which a parliament elects a government of ten ministers. (en)
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  • Matrix vote (en)
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