Maybe you could treat each other as two parts of the same system. It hurts to pull your hair out so suppose you had some scissors too. You could cut your hair, and scatter them on the floor. Wind is really sensitive to initial conditions (consider brownian motion) so suppose you blow the hair and you both decide to pick them up. Since you’re different distances to the hair strands you could break the symmetry?
Maybe you could treat each other as two parts of the same system. It hurts to pull your hair out so suppose you had some scissors too. You could cut your hair, and scatter them on the floor. Wind is really sensitive to initial conditions (consider brownian motion) so suppose you blow the hair and you both decide to pick them up. Since you’re different distances to the hair strands you could break the symmetry?