I was a bit confused the other day when I heard you insist that "proportional representation" was incorrect terminology for the single transferable vote system, and "preferential" was more correct. STV is one of the major ways to implement proportional representation and is kind of the whole point of the system; as you can read here, "proportional representation by single transferable vote" is actually a synonym for STV:
https://en.wikipedia.org/wiki/Single_transferable_vote
Academic papers also consider STV to be a system for achieving proportional representation:
https://www.aeaweb.org/articles?id=10.1257/jep.9.1.27
As far as I can tell, "preferential voting" refers to any ranked-choice system, including STV, instant runoff voting, and others. So it seems STV is both "proportional" and "preferential."
I know you prefer the "vote for X candidates for X seats" system; that's fine. I just thought it would be helpful to clarify terminology so when we discuss voting systems, we know what we're trying to say to each other.
I also heard you ask "proportional to what?" The general idea in PR is that voters who favor the same set of candidates should be represented proportional to their voting strength (the number of voters compared to all votes cast). Many proportional representation systems are designed to work with political parties, where the lines between groups of candidate and between groups of voters are clear, party boundaries. For example, in simple closed-list proportional representation, the number of seats held by a party is proportional to the number of voters who picked that party, and candidates are simply drawn from a list pre-determined by party officials. Open-list proportional representation does the same but lets voters influence the order of candidates from their selected party are seated.
Single transferable vote is a way to do proportional representation without political parties, so voters don't need to declare an affiliation, or be limited to any subset of candidates. Where a cluster of voters highly rank the same subset of candidates, STV seats none or some or all of those candidates in proportion to the size of the voter cluster. If voters' preferences are random and not clustered, I think it would be fair to say that STV isn't proportional to anything in particular, and it just becomes a way to elect generally highly-ranked candidates without a big spoiler effect.
If you want to know more about the different types of proportional representation and where in the world they are used, there's a good overview at:
https://en.wikipedia.org/wiki/Proportional_representation
-B.
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