Distributed Score Voting: Difference between revisions
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Distributed Score Voting (DSV) is a [[Single Member system|Single-Winner]] and [[Multi-Member System|Multi-Winner]] [[Cardinal voting systems| Cardinal voting system]]. |
Distributed Score Voting (DSV) is a [[Single Member system|Single-Winner]] and [[Multi-Member System|Multi-Winner]] [[Cardinal voting systems| Cardinal voting system]]. |
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==Procedure== |
==Procedure== |
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===Voting=== |
===Voting=== |
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[[File:DVS procedure.jpg|thumb|DSV counting]] |
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Each voter has 100 points to distribute among the candidates according to his preferences. |
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All candidates in the vote have 0 points by default. |
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===Procedure=== |
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===Counting the votes=== |
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W = sum of all the points in the original vote (100 for all voters, at the beginning). |
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# 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. Graphically, each candidate is a node; the head-to-head is represented by an arrow, leaving the winning candidate, entering the losing candidate. The tie is represented as a double arrow entering, that is both candidates are considered losers. |
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# Find the smallest set X of nodes that don’t have incoming arrows, coming from outside the set. Then remove all candidates not in X from the votes. |
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# Convert the marks into a range form, assigning 0 points to the candidates with the lowest score and normalizing* the remaining candidates, using the following formula: M = candidate with the highest score, before normalization. v0 = current value of candidate C, to be normalized. v1 = value of candidate C, after normalization. |
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<math> |
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\begin{equation} |
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v1=\frac{v0}{M} \cdot W |
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\end{equation}</math> |
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# Add up the points for each candidate of the range votes, and the candidate who has the highest sum, wins. The choice of the single winner ends here. |
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# If you want to have more winners, then remove the single-winner from all original votes, repeating the whole procedure from point 1. The value W of each original vote is reduced by the points assigned to the removed candidate. By repeating this process several times, I can get as many winners as I like, which will be those removed in point 5. |
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# If you want to know the % of victory of the winning candidates then, in each original vote, you must remove all the candidates who haven’t won, and normalize* the vote with the formula used in point 3 (with W=100 fixed). The sum of points for each candidate will indicate the % of victory. |
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===Head-to-head=== |
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In a head-to-head between candidates A and B, a vote like A[10], B[30], C[60], D[0] could be treated in 2 different forms: |
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1) A[25], B[75] or A[33] B[100] |
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This form is subject to some problems: |
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* in a context with only one winner and two candidates, the voter is unlikely to want to distribute his points in that way. |
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* greatly increase the tactical vote in which voters accumulate points on their preferred candidate. |
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* prevent the DSV to meet the following criteria: [[Majority criterion|majority criterion]], [[Majority loser criterion|majority loser criterion]], [[Mutual majority criterion|mutual majority criterion]]. |
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2) A[0], B[100] that is, 0 to the minor and maximum to the major |
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This form avoids all the problems mentioned above. |