tragedy of the commons: whores

Tragedy of the commons: Why are whores always so beat up?
A whore charges $3 for full service. When a man pays $3, would he fuck her like he does his wife? The answer is no, he would not. It is not because he is a dirt bag, or that he has more feelings for his wife than the whore. The reason is that the whore is common property for which he must not have an interest to protect. The man can have regular sex for $3, but what are the costs and benefits of him having violent, bruising, hair pulling sex for the same $3? The rational man will conclude that he will receive more enjoyment from having rough sex, but because the whore will be beat up the service quality may decline during his session tomorrow. But it's okay, it's just once a day, it won't hurt. Besides, if he doesn't get his money's worth, another man will. If service is bound to decline, its best to claim your share while you can. So the man fucks her, and fucks her up real good, making sure he gets his money's worth. Unfortunately all of her 50 customers (she's good, and cheap) come to the same decision. The whore is more and more beat up by the day, in about a week the value of her service drops below $3 and she is forced to lower her asking price. At $1.50 she is unable to afford vanities like makeup and soap. Her service level drops yet again until she dies of Hepititas. In the end, nobody gets to fuck.