Since the word "skins" has nothing to do with golf, why do they call it the "Skins Game?"?

In golf skins refers to the lowest score on the hole. Say there's a foursome. One guy birdies and everyone else pars. The guy with the birdie won the "skin." It's the lowest score. There's no skin if two or more people tie at the lowest score. So in "The Skins Game" when a player gets a skin they get a certain amount of money. I think they may give their money to charity, not sure. A lot of local clubs and courses also do skins in local tournaments as a kind of side bet.