.. _john-nash-reference: John Nash ========= .. .. 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.