VoteFair representation ranking: Difference between revisions

Refinements in multiple places
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(Refinements in multiple places)
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'''VoteFair representation ranking''' is a proportional[[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.
 
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.
* Looking at only the ballots for the remaining 74% of the votersballots, the most popular candidate (according to the Condorcet-Kemeny method) is Memphis.
* 58% of the ballots rank Nashville higher than Memphis.
* 58% exceeds 50% (the minimum majority) by 8% (the excess beyond majority).
* 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.
* 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.
 
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).
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