Ha, that's what people here do at 4 way stop signs. I guess this is a *real* pet peeve. This is what happens. Car #1 arrives at stop. Maybe #2 does, too. They are both sitting there, looking like dumb azzes, when I pull up. No one moves. I wave them on, and they still don't move. So, I go. Seriously, this worked like clockwork in AZ. The first one there goes. End of story. Last week I approached the 4 way stop in my neighborhood. There was a car sitting there, for awhile. He waited until I stopped and then, he waved me through.. It's like they wait to see what you are going to do, instead of following the rules.
It's even worse when you are on a bike. Drivers wave you through when it's not your turn, confusing everyone.