If you have seen the movie A Beautiful Mind, you know who John Nash is. If not, read this. John was most famous for his work in game theory, it actually won him a Nobel prize in 1994 when he wrote about Nash Equilibrium.
The theory is long (28 pages) and complicated, but the movie does an okay job explaining it. (If you want to see a clip explaining it go here. And if you want the rest of this post to make sense, you need to watch it.) While this is not exactly what Nash Equilibrium is (Hollywood took some liberties explaining it) it is a great example of game theory and the dilemma each young athlete faces when choosing a college.