The punching game is when you and your opponent choose a part of the body, usually the upper arm, and you punch each other in the same spot as hard as you can until one of you quits.
Ben and Jerry played the "punching game". Ben won, because Jerry quit after his arm was deeply bruised and he could no longer take the pain. Ben now has to move up to play against someone else after he heals.
by Alien Illuminati September 15, 2013