Borda count: Difference between revisions
I've introduced the MBC, which is what Jean-Charles de Borda actually proposed.
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{{Wikipedia}}
The '''Borda count'''
The Borda count BC was devised by Nicholas Cusanus in 1433, while the Modified Borda Count MBC was proposed by [[Jean-Charles de Borda]] in June of 1770. It was first published in 1781 as ''Mémoire sur les élections au scrutin'' in the Histoire de l'Académie Royale des Sciences, Paris. This method was devised for decision-making, but mainly for elections, by M. de Borda to fairly elect members to the French Academy of Sciences and was used by the Academy beginning in 1784 until quashed by Napoleon in 1800.
The Borda count is classified as a [[positional voting system]] because each rank on the ballot is worth a certain number of points. Other positional methods include [[first-past-the-post]] (plurality) voting, and minor methods such as "vote for any two" or "vote for any three".
==The BC and MBC Procedures==
Each voter rank-orders all the candidates on their ballot. If there are ''n'' candidates in the election, then in the BC analysis, the first-place candidate on a ballot receives ''n''-1 points, the second-place candidate receives ''n''-2, and in general the candidate in ''i''th place receives ''n-i'' points. The candidate ranked last on the ballot therefore receives zero points.
The points are added up across all the ballots, and the candidate with the most points is the winner.
The MBC procedure is similar, but the difference can be huge. In a ballot of ''n'' options or candidates, a voter may cast ''m'' preferences, where ''n <u>></u> m <u>></u> 1.'' In a BC, as outlined above, points are awarded to (1st, 2nd ... last) preferences cast, as per the rule (''n, n-1 ... 1'') points or (''n-1, n-2 ... 0'') points. In an MBC, however, points are awarded as per the rule (''m, m-1 ... 1'') points. Accordingly, in a 5-option (or 5-candidate) vote:
== An example of an election==▼
he who casts just one preference gets his favourite only 1 point;
she who casts two preferences gets her favourite 2 points, (and her 2nd choice gets 1 point);
and so on; accordingly
those who cast all 5 preferences get their favourite 5 points, (their 2nd choice 4 points, etc.).
In a BC, he who truncates his ballot and casts only 1 point, gets his favourite an (''n-1'') points advantage over all the other options/candidates. In an MBC, in contrast, a voter's (x)<sup>th</sup> preference always gets just 1 point more than her (x+1)<sup>th</sup> preference, regardless of whether or not she has cast that (x+1)<sup>th</sup> preference,
{{Tenn_voting_example}}
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