Is There a Lefty Advantage in Fighting?

The advantage of left handers is not innate. It is context dependent. Left handers only have the advantage because they are rare. If left handers were equally common as right handers, left handers would cease to have this surprise advantage. And this explains why left handers are maintained in the population at a low level. But if it gets too high, the left handers start to lose their advantage and this causes them to drop back down in the population.