Proportional representation: Difference between revisions

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:<math>\mathrm{SLI} = \sum {(S-V)^2 \over V}</math>
 
The failing of all such measures is the assumption that each vote is cast for one political party. This means that the only system which can be used is a [[Partisan system]]. Under the assumption that [[Plurality Voting]] for a candidate represents a vote for their party, these measures can be applied to plurality voting systems like [[Single Member Plurality]] and [[Mixed -Member Proportional]]. In addition, if it is assumed that when some voters rank every candidate in a party ahead of all other candidates, that they prefer that party, then [[PSC]] and [[:Category:PSC-compliant voting methods |Category: PSC-compliant voting methods]] can be used to measure how well ranked and rated PR methods satisfy partisan proportionality. The consequence of this limitation is that Proportional Representation is not defined for systems without [[vote splitting]].
 
The reliance of the standard definition of Proportional representation on the system being [[Partisan system | Partisan]] is clearly limiting on the usefulness of such a definition. A [[Partisan system]] itself has long been considered a flaw which undermines the [[Ideal Representation]] of the individual. <ref>See {{Cite book |last=Mill |first=John Stuart |author-link=John Stuart Mill|year=1861 |editor-last= |editor-first= |contribution= |title= Considerations on Representative Government |edition=1 |publisher= Parker, Son, & Bourn |publication-date=1861 |location=London |url=https://archive.org/details/considerationso04millgoog |accessdate=20 June 2014 }} via Google Books</ref><ref>See {{Cite book |last=Mill |first=John Stuart |author-link=John Stuart Mill|year=1873 |editor-last= |editor-first= |contribution= |title= Considerations on Representative Government |edition=1 |publisher= Henry Holt & Company |publication-date=1873 |location=New York |url=https://archive.org/details/considerations00mill |accessdate=20 June 2014 }} via archive.org</ref> If Proportional Representation cannot be robustly defined in a non-partisan system then it is of little use.
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