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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.
The Borda count is a weighted-rank system that assigns scores to each candidate based on their position in each ballot. If m is the total number of candidates, the candidate ranked first on a ballot receives m − 1 points, the second receives m − 2 , and so on, until the last-ranked candidate who receives zero.
The fact that A is preferred by three of the five voters to all other alternatives makes it a beats-all champion. However the Borda count awards 2 points for 1st choice, 1 point for second and 0 points for third. Thus, from three voters who prefer A, A receives 6 points (3 × 2), and 0 points from the other two voters, for a total of 6 points.
The classic example of a positional voting electoral system is the Borda count. [1] Typically, for a single-winner election with N candidates, a first preference is worth N points, a second preference N – 1 points, a third preference N – 2 points and so on until the last (N th) preference that is worth just 1 point. So, for example, the ...
For example, the Black method chooses the Condorcet winner if it exists, but uses the Borda count instead if there is a cycle (the method is named for Duncan Black). A more sophisticated two-stage process is, in the event of a cycle, to use a separate voting system to find the winner but to restrict this second stage to a certain subset of ...
A well-known example is the 2022 Alaska special election, ... With the Borda count A would get 21 points (5×1+4×3+2×2), B would get 20 points, and C would get 25 ...
Some systems, and the Borda count in particular, are vulnerable when the distribution of candidates is displaced relative to the distribution of voters. The attached table shows the accuracy of the Borda count (as a percentage) when an infinite population of voters satisfies a univariate Gaussian distribution and m candidates are drawn from a ...
k-Borda: each voter gives, to each committee member, his Borda count. Each voter ranks the candidates and the rankings are scored together. The k candidates with the highest total Borda score are elected. Borda-Chamberlin-Courant (BCC): each voter gives, to each committee, the Borda count of his most preferred candidate in the committee. [12]