Distributed Score Voting: Difference between revisions

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==Procedure==

[[File:DVS ~~procedure~~.jpg|thumb|DSV counting]]

[[File:DVS counting.jpg|alt=|thumb|DSV counting]]

===Voting===

Each voter has 100 points to distribute among the candidates according to his preferences.

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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.

M = highest score among the candidates in the vote, before normalization.

v0 = current value of candidate C, to be normalized.

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5) 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.~~

The value W of each original vote changes according to the following formula:

M = highest score among the candidates in the vote.

e = candidate's score eliminated.

W0 = previous value of W

W1 = new value of W

<math>

\begin{equation}

W1=W0+100\left( 1-\frac{e}{M}\right)

\end{equation}</math>

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.~~

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 each vote with the following formula:

S = sum of the points left in the vote.

v0 = current value of candidate C, to be normalized.

v1 = value of candidate C, after normalization.

<math>

\begin{equation}

v1=\frac{v0}{S} \cdot 100

\end{equation}</math>

The sum of points for each candidate will indicate the % of victory.

===Head-to-head===

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==Criteria==

Criteria met by DSV:

Criteria met by DSV (single-winner):

*[[Majority criterion]]

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*[[Pareto criterion]]

Criteria not met by DSV:

Criteria not met by DSV (single-winner):

*[[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).

The first two unmet criteria 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).

The last 3 unmet criteria can instead generate tactical votes, described below.

The last two unmet criteria can instead generate tactical votes, described below.

===Tactical votes===