There should be a name for this: you're walking along, you see someone coming towards you, you move to your left, they move to their right, so you're both still heading towards each other; you move to your right, they move to their left, you both look at each other, smile, and one of you gestures for the other to go first.
If you've expereinced this then you are a type-1 person; if not then you're a type-2 person. It only ever happens when two type-1 people walk toward's each other. Type-2 people never experience it because they just keep walking.
If you are a type-1 person (like me) then try this for fun: go to your busiest pedistrian area and start walking in a straight line; don't deviate for anyone; just keep walking as suits you. It's hard work, but surprisingly liberating for a while. You'll discover that most people will move out of your way (most people are type-1) but some people won't. They're the type-2s and their self-orientiation will astound you.