If you visit Kirkwood, Missouri often enough, this will probably happen to you at least once; you'll arrive fourth at a four-way stop sign, but you'll be the first to move on from it.
The routine at four-way stops here is typically, "'After you.' 'No, after you.' 'No, really, after you; I don't mind.' 'Thank you, but it's your turn. After you.' 'No, I insist. After you...'"
Although this creates confusion, it's refreshing to see such a premium placed on civility.