Occasionally when I am casting a vote for city council where you're supposed to vote for up to four candidates I find myself wondering if the strategic thing to do is to vote *only* for the non-incumbent candidate that I like, even though I also like several of the incumbents, on the basis that any vote I cast for a incumbent is likely to push my favorite person further down in the heap.

I feel like there could be a similar potential for trying to game the system with approval voting, although I have not checked how the numbers work out.