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Distributed Voting (view source)

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[[File:DV Procedure.svg|alt=DV procedure|350px351px|thumb|DV procedure]]▼
Distributed Voting (DV) is a [[Single Member system|Single-Winner]] and [[Multi-Member System|Multi-Winner]], [[Cardinal voting systems]].
 
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==Procedure==
▲[[File:DV Procedure.svg|alt=DV procedure|350px|thumb|DV procedure]]
[[File:DV paper ballot.svg|320px|thumb|DV paper ballot (range [0,10])]]▼
[[File:Digital ballot DV.gif|320px|thumb|DV digital ballot (cumulative 100 points)]]
 
Voter score candidates with range [0,109]. The vote is then converted to 100 points (normalization).
 
# The worst candidate, with the lowest sum of points, is eliminated.
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Some examples of normalization:
 
Range [0,109] → Normalized in 100 points
109,0,0,0     →   100,0,0,0
109,109,0,0  →   50,50,0,0
109,56,54,01     →   5045,2530,2520,5 (note: there isn't 0 in the lowest score)
10,6,3,1     →   50,30,15,5 (note: there isn't 0 in the lowest score)
 
▲[[File:DV paperDigital ballot DV.svggif|320px|thumb|DV paperdigital ballot (rangecumulative 100 [0,10]points)]]
===Digital ballot===
 
By using self-resizing sliders it's possible to obtain simple ballot that use the cumulative vote, with 100 points to distribute. However, it's better to use range [0,109] also in digital ballot.
 
==Procedure specification==
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newV=\frac{V}{S} \cdot P
\end{equation}</math>
 
If S=0 then all candidates remain at 0 points.
 
===Normalization example===
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A[0] B[25] C[75]
A[0] B[100]
 
===All 0 points===
 
If the only candidate C with points is eliminated from a vote like this A[0] B[0] C[100], you can proceed in 2 ways:
 
# A[0] B[0] : the vote is excluded from the count.
# A[50] B[50] : the points are divided equally between the remaining candidates with 0 points.
 
Using procedure 2 you get a vote that:
 
* cannot affect the victory of candidates who received the same points.
* reduces the distance between the candidates present in it, and this can affect a possible process of assigning seats.
* it can be considered not in accordance with the interests of the voter who, to those remaining candidates, had not awarded points.
 
The two procedures return the same winners, but in the [[Multi-Member System|multi-winner]] procedure 2 generates more similar % of victory.
 
===Tie during counting===
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* When the worst is eliminated, the candidates with the lowest score among those left in the vote must be set to 0, and then normalizes.
* [[Surplus Handling]] (in Distributed Voting it's not used in thefor [[Multi-Member System|multi-winner]] context).
* If the remaining candidates are contained in a [[Smith set]], then the candidates with the highest sum wins.
 
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* Ex.1: a streamer wants to talk about 3 topics in a 4-hour live, chosen by his supporters through a poll. With Distributed Voting the 3 winning arguments A,B,C would also have associated the % of victory: A[50%] B[26%] C[24%]. These % indicate to the streamer that he must devote 2 hours to topic A, and 1 hour to topics B and C. Without these %, the streamer would have mistakenly spent 1 hour and 20 min for each of the topics.
 
* Ex.32: in an image contest, there is a cash prize to be awarded to the 3 best images. The prize will be divided appropriately according to the % of victory and not in a pre-established way before the contest.▼
* Ex.2: on a crowdfunding platform, fans can have a different weight in the vote, based on how much money they have donated. In Distributed Voting you can manage directly this difference in power by assigning fans different amounts of points to distribute, through the cumulative vote.
 
▲* Ex.3: in an image contest, there is a cash prize to be awarded to the 3 best images. The prize will be divided appropriately according to the % of victory and not in a pre-established way before the contest.
 
==Systems comparison==
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60,27,9,3,1 → it's very different from [[IRV]]
 
Using range [0,109] completely eliminates the similarity:
 
range[0,109] → 100 points
109,1 → 9190,9 10 → it's a bit different from [[IRV]]
109,5,1 → 6360,3133,67 → it's very different from [[IRV]]
 
Range [0,109] was chosen to better balance the simplicity of writing, the representation of interests, and the correctness of the count. Normalization applied to a range too small as [0,5], alters the voter's interests too much in the count.
 
===[[IRNR]]===
Aldo Tragni
206

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