Perfect representation: Difference between revisions

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(Criterion not compatible with strong monotonicity)
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Every winner set that provides perfect representation also provides [[Justified representation | Proportional Justified Representation]] <ref> https://www.researchgate.net/publication/308022665_Some_Notes_on_Justified_Representation </ref>. In contrast, [[Justified representation | Extended Justified Representation]] may rule out all winner sets that provide perfect representation. <ref>https://arxiv.org/abs/1407.8269</ref>
Every winner set that provides perfect representation also provides [[Justified representation | Proportional Justified Representation]] <ref> https://www.researchgate.net/publication/308022665_Some_Notes_on_Justified_Representation </ref>. In contrast, [[Justified representation | Extended Justified Representation]] may rule out all winner sets that provide perfect representation. <ref>https://arxiv.org/abs/1407.8269</ref>

While perfect representation arguably has flaws as a proportionality criterion, the Perfect Representation In the Limit criterion (PRIL) states that the result of a voting method must approach perfect representation as the number of elected candidates increases, as long as the ballots make this possible. This criterion does not demand that a method passes lower quota so does not disqualify the [[Sainte-Laguë method]] and is compatible with strong monotonicity. <ref>https://arxiv.org/abs/2305.08857</ref>

[[Category:Types of representation]]
[[Category:Types of representation]]