Distributed Score Voting: Difference between revisions

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(In the procedure, candidates outside the Smith set are eliminated after the conversion of the vote (point 3).)
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==Procedure==
[[File:DSV procedure.jpg|alt=|thumb|DSV counting]]
 
===Voting===
Each voter has 100 points to distribute among the candidates according to his preferences (it's also possible to write the vote even in a simpler form, with range from 0 to 5 points for each candidate).
 
All candidates in the vote have 0 points by default.
[[File:DSV procedure v4.jpg|alt=|thumb|DSV counting]]
 
===Counting the votes===
W = sum of all the points in the original vote (100 for all votersvotes, at the beginning).
 
1) All head-to-head matches are conducted between candidates. In head-to-head, the candidate who has more points in a vote than his opponent receives W points from the vote. The candidate who gets the most points wins the head-to-head.
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2) Find the smallest set X ([[Smith set]]) of nodes that don’t have incoming arrows, coming from outside the set.
 
3) Convert the votes using the following formula:
Then remove all candidates not in X from the votes.
 
3) Convert the votes into a range form, assigning 0 points to the candidates with the lowest score and normalizing the remaining candidates, using the following formula:
 
M = highest score among the candidates in the vote, before normalization.
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v1=\frac{v0}{M} \cdot W
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Then remove all candidates not in X from the votes.
 
4) Add up the points for each candidate of the range votes, and the candidate who has the highest sum, wins.
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The value W of each original vote changes according to the following formula:
 
M = highest score among the candidates in the vote (before removing the candidate).
 
e = candidate's score eliminated.
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Before the counting process, the votes will be normalized to 100-point votes, where the Xs are considered as equal weight values.
 
Examples of how a vote can be written by the voter and subsequently, inbefore the counting, converted into 100 points:
 
X,0,0,0,0 → 100,0,0,0,0