A defeat for baseball, but a triumph for game theory

So it appears that lots and lots of professional baseball players use steroids. This is exactly what game theory predicts. Assuming that the health costs of steroids are not too high then:

1) If few other players use steroids you get a huge advantage by using them, and

2) If many other players use steroids then you need them to remain competitive.

Therefore, regardless of what other people do each player is better off using steroids than not using them. And so game theory correctly predicts that many players will use these athletic enhancing drugs.

For analogous reasons I suspect that many students are illegally taking brain boosting drugs such as Ritalin to increase their SAT scores.