Distributed Score Voting: Difference between revisions

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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.
 
2) Find the smallest set X ([[Smith set]]) of nodes that don’t have incoming arrows, coming from outside the set.
 
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 = candidate with the highest score, before normalization.
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By repeating this process several times, you can get as many winners as you like, which will be those removed in point 5.
 
6) 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.
 
 
===Head-to-head===
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Criteria met by DSV:
 
* [[Majority criterion]]
* [[Majority loser criterion]]
* [[Mutual majority criterion]]
* [[Condorcet criterion]]
* [[Condorcet loser criterion]]
* [[Smith criterion]]
* [[Independence of irrelevant alternatives]]
*[https://en.wikipedia.org/wiki/Independence_of_clones_criterion Independence of clones criterion]
* [[Monotonicity criterion]]
*[https://en.wikipedia.org/wiki/Reversal_symmetry Reversal symmetry]
* [[Pareto criterion]]
 
Criteria not met by DSV:
 
* [[Participation criterion]]
* [[Consistency criterion]]
* [[Later-no-harm criterion]]
* [[Later-no-help criterion]]
* [[Favorite betrayal criterion]]
 
The first two criteria not met are derived mainly from the fact that DSV wants to ensure the victory of the candidate who wins all the head-to-head (when it exists).
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This type of tactical vote works only if:
* there is a condorcet[[Condorcet paradox]] which includes at least 4 candidates.
* through the tactical vote, the candidate who should have been the winner can be taken out of the [[Smith set]].
* the new winner is actually a better candidate than the previous one (the new winner in the example could also be C).
* the voter has a fairly precise knowledge of the likely ballots result, without which this tactical vote would turn against him.
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