Well, I really should read the article you cite because it looks interesting, but take this example: There are three candidates: Republican, Democrat, and Green

Well, I really should read the article you cite because it looks interesting, but take this example: There are three candidates: Republican, Democrat, and Green. 60% of the population wants the Green candidate to win, but will settle for the Democrat reluctantly. They absolutely, positively do not want the Republican to win. 40% of the population wants the Republican to win but under no circumstance wants the Green candidate to win. So with Instant Runoff elections, the majority gets their wish. The Green Candidate wins. With Approval Voting, 60% of the people vote the Green Party Candidate, 40% of the people vote for the Republican Party Candidate, and 100% of the people vote for the Democratic Candidate. The Democratic candidate wins. I don't see how this is a win for Approval Voting. The candidate that wins is a candidate that no one really wanted. Well, clearly my example is rather contrived, but I suspect (perhaps out of ignorance) that any situation in which Instant Runoff would cause counter-intuitive results is also rather unlikely. I'll definitely have to look at your reference, though. I do find such issues very interesting