Cardinal voting systems: Difference between revisions
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{{Wikipedia|Cardinal voting}}
'''Cardinal voting systems''', aka '''evaluative''', '''rated''', '''graded''', or '''range''' systems, are one of the major classes of voting. They are ones in which the voter can evaluate each candidate independently on the same scale to cast a Cardinal ballot. Unlike ranked systems, a voter can give two candidates the same rating or not use some ratings at all if they desire, and skipped ratings can affect the result.
Cardinal voting is when each voter can assign a numerical score to each candidate. Strictly speaking, cardinal voting can pass more information than the ordinal (rank) voting. This can clearly be seen by the fact that a rank can be derived from a set of numbers provided there are more possible numbers than candidates. Unlike ordinal voting, [[W:Arrow's Impossibility Theorem|Arrow's Impossibility Theorem]] does not apply to cardinal methods. Furthermore, all cardinal methods satisfy the participation criterion. Additionally, Cardinal methods partially dodge the [[Gibbard–Satterthwaite theorem]], making strategic voting much less of an issue than with Ordinal or Plurality voting.
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== [[Single Member systems]] ==
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===[[Block voting | Bloc Systems]]===
* '''Bloc Approval Voting''': Each voter chooses (no ranking) as many candidates as desired. Only one vote is allowed per candidate. Voters may not vote more than once for any one candidate. Add all the votes. Elect the candidates with the most votes until all positions are filled.
* '''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
* '''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.
===Sequential Systems===
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=== Optimal Systems ===
* [https://rangevoting.org/QualityMulti.html Harmonic Voting]
* [[Proportional approval voting]]
* [[Phragmén's Method]]
* [[Monroe's Method]]
[[Category:Cardinal voting methods]]
[[Category:Ballot type]]
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