Multi-member system: Difference between revisions

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(→‎Bloc Systems: Updated to be consistent with updates on the Cardinal Voting page.)
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*'''Bloc Score Voting''': Each voter scores all the candidates on a scale with three or more units. Starting the scale at zero is preferable. Add all the scores. Elect the candidates with the highest total score until all positions are filled.
*'''Bloc STAR Voting''': Each voter scores all the candidates on a scale from 0-5. All the scores are added and the two highest scoring candidates advance to an automatic runoff. The finalist who was preferred by (scored higher by) more voters wins the first seat. The next two highest scoring candidates then runoff, with the finalist preferred by more voters winning the next seat. This process continues until all positions are filled.
*'''[https://electowiki.org/wiki/Cumulative_voting[Cumulative voting | Cumulative Voting:]]:''' In this system, a voter facing multiple choices is given X number of ''points''. The voter can then assign his points to one or more of the choices, thus enabling one to weight one's vote if desired. This could be achieved through a normalized [[Ratings ballot|ratings ballot]], or through multiple [[Plurality ballot|plurality ballots]], one per each point allocated. Typically, each voter will have as many votes as there are winners to be selected.
*'''[[Single non-transferable vote]]''': Each voter can select as many candidates as there are to be winners
 
 
==Sequential [[Proportional representation|Proportional]] Methods==
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* [[Allocated Score]]
* [[Sequentially Subtracted Score]]
* [[Single non-transferable vote]]
 
 
==[https://rangevoting.org/QualityMulti.html Optimal] [[Proportional representation | Proportional]] Methods ==
==Optimal Methods==
 
Optimal Systems select all winners at once by optimizing a specific desirable metric for proportionality. First a "quality function" or desired outcome is determined, and then an algorithm is used to determine the winner set that best maximizes that outcome. In most systems this is done by permuting to all possible winner sets not a [[W: Mathematical optimization | maximization algorithm]]. This makes such systems computationally expensive. Since ranks do not allow for the arithmatic operations to do such calculations. As such there are no optimal [[Ordinal voting]] systems but only optimal [[Cardinal voting systems]]
Optimal methods elect all members by the optimization of a quality function.
 
Common examples:
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* [[Phragmén's Method]]
* [[Monroe's Method]]
* [https://arxiv.org/abs/1602.05248 PAMSAC]
 
[[Category:Multi-winner voting methods]]
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