Distributed Multi-Voting: Difference between revisions
Variants added: Score multi-Voting, STAR Multi-Voting
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In cases [1] and [2] it’s noted that the addition of 1 point on B, left the score of A practically unchanged in the converted vote, but in case [2] it obtained 303 points for B (same speech observing the case [3] or even [5] ); this means that the voter has an interest in expressing his preference towards B. At the same time, the voter doesn’t even have the interest of giving his limited points to candidates he doesn’t really support (reduced [[Vote splitting]]) .
==Systems variants (Multi-Voting method)==
In general, starting from a vote, all the votes are obtained for each subset of the candidates (some normalization is used), and then they are added together obtaining the converted vote. Subsequently, the count on the converted votes is applied.
===Score Multi-Voting (SMV)===
The following formula is used to normalize the votes:
[MIN, MAX] = ''[0,9]'' = range of the voting system.
[min, max] = ''[3,6]'' = lower and higher value among the candidates of the subset, in a vote.
Cnew = new value of the candidate, in a vote.
C = old value of the candidate, in a vote.
<math>\begin{equation}
C_{new} \ =\ MIN\ +\ ( C\ -\ min) \cdot \frac{MAX\ -\ MIN}{max\ -\ min}
\end{equation}</math>
If max = min, then Cnew = MAX
Example of normalized voting for a subset of candidates:
Original vote: A[9] B[6] C[5] D[3] F[0] G[1] H[1]
Subset {A,C,F}: A[9] C[5] F[0]
Subset {A,B,C}: A[9] B[2.25] C[0]
Subset {C,D,F}: C[9] D[5.4] F[0]
Subset {B,C,D}: B[9] C[6] D[0]
Subset {B,C,D,F}: B[9] C[7.5] D[4.5] F[0]
Subset {G,H}: G[9] H[9]
Subset...
By adding the converted votes, the candidate with the highest sum wins.
===STAR Multi-Voting (STAR-MV)===
The converted votes are calculated, as in the Score Multi-Voting, on which the STAR count is then applied.
[[Category:Cardinal voting methods]]
[[Category:Single-winner voting methods]]
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