PRO-V: Difference between revisions

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Product Voting (PRO-V) is a [[Single Member system|Single-Winner]] [[Cardinal voting systems]] developed by [[User:Aldo Tragni|Aldo Tragni]].
 
The objectives of this voting system is the balance between simplicity, resistance to strategies, elect utilitarian winner and provide the voter with a good representation of interests (range with 5 ratings).
 
===Name derivation===
 
PRO-nV: the PRO-V procedure works with ranges of different sizes and n indicates the amount of ratings used in the range.
 
*PRO-2V3V: uses 3 ratings in [1,2].
*PRO-V: is the default definition, with 5 ratings in [1,5].
*FAIR-9V: uses 9 ratings in [1,9].
 
==Procedure==
 
Ballots: voter score each candidates with bonus in [x1,x2,x3,x4,x5] and the absence of evaluation is equivalent to x1. Candidates at the beginning all have 1 point.
Voter score candidates with ratings [1,2,3,4,5].
 
ForCounting: eachbonuses candidate,are theapplied multiplicationto iseach madecandidate among(eg allx3 means multiplying the ratingscandidate's receivedpoints by him3), and the candidateone with the highest resultscore in the end wins.
 
===ProductFormula===
 
The '''formula''' used in the count is the following:
 
<math>\begin{equation}
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n = total number of votes.
 
If you have '''paper ballots''' then, before counting, you can eliminate ratings 1x1 and those ratings that appear at least once on all candidates, even in different votes.
 
Eg given these 3 votes:
A[1x1] B[2x2] C['''3x3'''] D['''3x3'''] E[5x5]
A['''3x3'''] B[5x5] C[1x1] D[2x2] E['''3x3''']
A[5x5] B['''3x3'''] C[2x2] D[4x4] E[1x1]
delete the ratings 1x1, and 3x3 that appears at least once on all candidates, making the votes like this:
B[2x2] E[5x5]
B[5x5] D[2x2]
A[5x5] C[2x2] D[4x4]
so there is less multiplication to do.
 
===NameRatings derivationscale===
 
The minimum value of the range is always x1.
PRO-nV: the PRO-V procedure works with ranges of different sizes and n indicates the amount of ratings used in the range.
 
In a context with very different options (such as the electoral context) it's better to use an exponential scale of this type:
*PRO-2V: uses ratings in [1,2].
[x1, x2, x4, x8, x16]
*PRO-V: is the default definition, with ratings in [1,5].
while in contexts with options not very far from each other (such as satisfaction surveys) it's better to use a linear scale of this type:
*FAIR-9V: uses ratings in [1,9].
[x1, x2, x3, x4, x5]
Adapting the scale to the context allows the voter to represent their interests well, maintaining simplicity in the vote (which always has only 5 ratings) and also more resistance to strategies.
 
==Voting systems comparison==
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