VoteFair representation ranking: Difference between revisions
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'''VoteFair representation ranking''' is a |
'''VoteFair representation ranking''' is a [[Proportional representation|Proportional-representation]] (PR) vote-counting method that uses [[Preferential voting|ranked ballots]] and selects a candidate to win the second seat in a two-seat legislative district. The second-seat winner represents the voters who are not well-represented by the first-seat winner. Any single-winner election method that uses ranked ballots can be used for the popularity calculations. |
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This method can be repeated, such as to select the winners of the second and fourth seats in a five-seat district. |
This method can be repeated, such as to select the winners of the second and fourth seats in a five-seat district. |
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* 26% of the ballots rank the most popular candidate (Nashville) as their first choice. |
* 26% of the ballots rank the most popular candidate (Nashville) as their first choice. |
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* Looking at only |
* Looking at only the remaining 74% of the ballots, the most popular candidate (according to the Condorcet-Kemeny method) is Memphis. |
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* 58% of the ballots rank Nashville higher than Memphis. |
* 58% of the ballots rank Nashville higher than Memphis. |
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* 58% exceeds 50% (the minimum majority) by 8% (the excess beyond majority). |
* 58% exceeds 50% (the minimum majority) by 8% (the excess beyond majority). |
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* 8% divided by 58% equals 0.1379 which is used as the weight for each of the 58% of the ballots that rank Nashville higher than Memphis. |
* 8% divided by 58% equals 0.1379 which is used as the weight for each of the 58% of the ballots that rank Nashville higher than Memphis. |
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* Full weight for the ballots that do not rank Nashville higher than Memphis, combined with a weight of 0.1379 (about 14%) for the remaining ballots (that do rank Nashville higher than Memphis), identifies (according to the [[Kemeny-Young Maximum Likelihood Method|Condorcet-Kemeny method]]) the most popular candidate to be Memphis. |
* Full weight for the ballots that do '''not''' rank Nashville higher than Memphis, combined with a weight of 0.1379 (about 14%) for the remaining ballots (that do rank Nashville higher than Memphis), identifies (according to the [[Kemeny-Young Maximum Likelihood Method|Condorcet-Kemeny method]]) the most popular candidate to be Memphis. |
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Memphis is declared the winner of the second seat. This candidate represents the voters who are not well-represented by the first-seat winner (Nashville). |
Memphis is declared the winner of the second seat. This candidate represents the voters who are not well-represented by the first-seat winner (Nashville). |