This method of voting has some fairly serious flaws. FairVote is well aware of them and are deliberately misleading the public about its merits. I don't mean strawman complaints mentioned in this article like voters being too intimidated by all the choices. I mean elections where casting a vote for your favorite candidate can literally cause that candidate to lose (ie, you'd get a better result by staying home, or by voting for someone you hated). It'll be interesting to see if these circumstances show up in the NYC election. They might not, but research suggests that problems aren't rare in IRV elections with more then 2 viable factions.