Proportional representation: Difference between revisions
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Due to the ambiguity and difficulty in the definition of Proportional Representation academic work often uses another more robust metric. This is the concept of a [[Stable Winner Set]]. The requirement that a system always produces a stable winner set when there exists one is definable in all possible systems. This makes it more useful than the concept of Proportional Representation which is typically tied to Partisan voting and as such cannot be defined for all systems. This concept evolved out of the economics field of Participatory Budgeting but can be equally suitable in Social Choice Theory. A less strict and more practical version of this is [[Justified representation]].
== Notes ==
PR methods can generally be split into two categories: sequential (one winner is elected at a time) and optimal (every possible winner set is compared to each other and the best one is chosen).
Almost all sequential PR methods can have a single-winner method done to elect the final seat; this is because at that point there is only one seat left to elect. See [[Single transferable vote#Deciding the election of the final seat]] for an example. [[Condorcet methods]] and [[STAR voting]] can be made to work with PR methods in this way.
See the [[combinatorics]] article for more information.
== See Also ==
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