@feld It looks a lot like ways of picking a department chair--search committee, appointment, faculty vote, or rotation (pretty sure popular election doesn't come in, but some department might use it!). In the departments I've been in or connected to, rotation by far works the best. It sucks for the person whose turn it is, but it's a limited term appointment, and they are surrounded by other people who have been or will be chair. There is more of a team spirit!