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Borda count
The Borda method or order of merit is a positional voting rule that gives each candidate a number of points equal to the number of candidates ranked below them: the lowest-ranked candidate gets 0 points, the second-lowest gets 1 point, and so on. The candidate with the most points wins.
The Borda count has been independently reinvented several times, with the first recorded proposal in 1435 being by Nicholas of Cusa (see History below), but is named after the 18th-century French mathematician and naval engineer Jean-Charles de Borda, who re-devised the system in 1770.
The Borda count is well-known in social choice theory both for its pleasant theoretical properties and its ease of manipulation. In the absence of strategic voting and strategic nomination, the Borda count tends to elect broadly-acceptable options or candidates (rather than consistently following the preferences of a majority); when both voting and nomination patterns are completely random, the Borda count generally has an exceptionally high social utility efficiency. However, the method is highly vulnerable to spoiler effects when there are clusters of similar candidates; because the effects of more candidates on the election are unbounded, it is possible for any political party to win an election by running enough clones. Common implementations of equal-rank or truncated ballots can also incentivize extreme burial when voters are strategic, which allows deeply unpopular dark horse candidates to win by avoiding any attention. This problem arises because under the Borda count, a marked lesser preference may cause a voter's first preference to fail election. Under Borda, lesser preferences are given less weight than higher preferences so this problem is less severe than under the Bucklin system, but it still exists.
The traditional Borda method is currently used to elect two ethnic minority members of the National Assembly of Slovenia, and in modified forms to determine which candidates are elected to the party list seats in Icelandic parliamentary elections.[citation needed] A variant known as the Dowdall system is used to elect members of the Parliament of Nauru. Until the early 1970s, another variant was used in Finland to select individual candidates within party lists.[citation needed] From 1979 until 2002 the method was used to select presidential election candidates in Kiribati. It is also widely used throughout the world by various private organizations and competitions.
The Quota Borda system is a proportional multiwinner variant.
The Borda count is a ranked voting system: the voter ranks the list of candidates in order of preference. So, for example, the voter gives a 1 to their most preferred candidate, a 2 to their second most preferred, and so on. In this respect, it is similar to other ranked voting systems such as instant-runoff voting, the single transferable vote or Condorcet methods. The integer-valued ranks for evaluating the candidates were justified by Laplace, who used a probabilistic model based on the law of large numbers.
The Borda count is classified as a positional voting system, that is, all preferences are counted but at different values. The other commonly used positional system is plurality voting, which only assigns one point to the top candidate.
Each candidate is assigned a number of points from each ballot equal to the number of candidates to whom he or she is preferred, so that with n candidates, each one receives n – 1 points for a first preference, n – 2 for a second, and so on. The winner is the candidate with the largest total number of points. For example, in a four-candidate election, the number of points assigned for the preferences expressed by a voter on a single ballot paper might be:
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Borda count AI simulator
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Borda count
The Borda method or order of merit is a positional voting rule that gives each candidate a number of points equal to the number of candidates ranked below them: the lowest-ranked candidate gets 0 points, the second-lowest gets 1 point, and so on. The candidate with the most points wins.
The Borda count has been independently reinvented several times, with the first recorded proposal in 1435 being by Nicholas of Cusa (see History below), but is named after the 18th-century French mathematician and naval engineer Jean-Charles de Borda, who re-devised the system in 1770.
The Borda count is well-known in social choice theory both for its pleasant theoretical properties and its ease of manipulation. In the absence of strategic voting and strategic nomination, the Borda count tends to elect broadly-acceptable options or candidates (rather than consistently following the preferences of a majority); when both voting and nomination patterns are completely random, the Borda count generally has an exceptionally high social utility efficiency. However, the method is highly vulnerable to spoiler effects when there are clusters of similar candidates; because the effects of more candidates on the election are unbounded, it is possible for any political party to win an election by running enough clones. Common implementations of equal-rank or truncated ballots can also incentivize extreme burial when voters are strategic, which allows deeply unpopular dark horse candidates to win by avoiding any attention. This problem arises because under the Borda count, a marked lesser preference may cause a voter's first preference to fail election. Under Borda, lesser preferences are given less weight than higher preferences so this problem is less severe than under the Bucklin system, but it still exists.
The traditional Borda method is currently used to elect two ethnic minority members of the National Assembly of Slovenia, and in modified forms to determine which candidates are elected to the party list seats in Icelandic parliamentary elections.[citation needed] A variant known as the Dowdall system is used to elect members of the Parliament of Nauru. Until the early 1970s, another variant was used in Finland to select individual candidates within party lists.[citation needed] From 1979 until 2002 the method was used to select presidential election candidates in Kiribati. It is also widely used throughout the world by various private organizations and competitions.
The Quota Borda system is a proportional multiwinner variant.
The Borda count is a ranked voting system: the voter ranks the list of candidates in order of preference. So, for example, the voter gives a 1 to their most preferred candidate, a 2 to their second most preferred, and so on. In this respect, it is similar to other ranked voting systems such as instant-runoff voting, the single transferable vote or Condorcet methods. The integer-valued ranks for evaluating the candidates were justified by Laplace, who used a probabilistic model based on the law of large numbers.
The Borda count is classified as a positional voting system, that is, all preferences are counted but at different values. The other commonly used positional system is plurality voting, which only assigns one point to the top candidate.
Each candidate is assigned a number of points from each ballot equal to the number of candidates to whom he or she is preferred, so that with n candidates, each one receives n – 1 points for a first preference, n – 2 for a second, and so on. The winner is the candidate with the largest total number of points. For example, in a four-candidate election, the number of points assigned for the preferences expressed by a voter on a single ballot paper might be: