# John NashΒΆ

This library is named after the mathematician John Nash. He is most famous for his work in Game Theory that culminated in him winning a Noble prize in Economics. The book [Nasar2011] (popularized in a 2001 movie) gives a good overview of his life.

The work he received a Noble prize for was a proof that a game **always** has
an equilibrium [Nash1950]. His proof is an exceptional piece of mathematics
where he uses a fixed point theorem by showing that an equilibrium is equivalent
to a fixed point of a function.

Subsequently, these equilibria have been referred to as Nash equilibria.