One person accidentally bumps another and they both apologize and move on. One for bumping the other and the other for I don't quite know what.

I used to think it was stupid that when one person would bump into another person they would both end up saying sorry. This is a classic scenario here in Canada maybe other places as well. Anyways, the point is that after a little more reflection on it I don't think it's stupid at all.

Having both parties say sorry makes it obvious that both parties want to put whatever just happened behind them and carry on with their lives. I like that attitude. It's the attitude that says, I'm not sure if it was me standing in the wrong spot or you running into me, but let's not dwell on it. Let's move on. And that's a great attitude.