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Cardinal proportional representation: Difference between revisions

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(Clarifying intro, and proposing a move to Cardinal proportional representation)
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'''Cardinal proportional representation''' (or "'''Cardinal PR'''") is a class containing [[cardinal voting systems]] used for [[proportional representation]] in multi-seat elections.
 
It should be noted that these methods follow different types and philosophies of proportionality than most other proportional representation methods. They all fail the "[[Proportionality for Solid Coalitions]]" criterion, though [[Sequential Monroe voting]] comes closest.
 
Because of the nature of [[Ratings ballot|rated ballots]], it is possible to make assumptions that allow us to examine many different variations of what it means to "represent" voters in the multi-winner context, and to observe to what degree they are all represented.
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It is possible to use a cardinal PR method to fill all but one of the seats in an election, and then use either [[STAR voting]] or a [[:Category:Condorcet-cardinal hybrid methods|Condorcet-cardinal hybrid method]] to fill the final seat. For example, SPAV could be used to fill the first four of five seats, and then with the ballots in their reweighted forms, the [[Smith//Approval]] winner could be elected to the final seat. This can be done with ranked or rated ballots using [[Approval threshold|approval thresholds]] to find out both approvals and [[Head-to-head matchup|head-to-head matchups]]. One advantage this holds over using [[Single transferable vote#Deciding the election of the final seat|STV#Deciding the election of the final seat]] or any ranked PR method with a Condorcet method for the final seat is that there appear to be no simple, hand-countable ranked PR methods that reduce to [[D'Hondt]] in their [[party list case]], whereas SPAV and other cardinal PR methods do.
 
It should be noted that these methods follow different types and philosophies of proportionality than most other proportional representation methods. They all fail the "[[Proportionality for Solid Coalitions]]" criterion, though [[Sequential Monroe voting]] comes closest.
 
== See also ==
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