It’s fair to say that John F. Nash Jr. (1928-2015) didn’t earn much respect from pure mathematicians for his work in game theory. To them, his use of L.E.J. Brouwer (1881-1966) and Shizuo Kakutani (1911-2004)’s fixed-point theorems to show the existence of Nash equilibria in finite games with mixed strategies was and perhaps still is merely considered

## John F. Nash's Work in Pure Mathematics

## John F. Nash's Work in Pure Mathematics

## John F. Nash's Work in Pure Mathematics

It’s fair to say that John F. Nash Jr. (1928-2015) didn’t earn much respect from pure mathematicians for his work in game theory. To them, his use of L.E.J. Brouwer (1881-1966) and Shizuo Kakutani (1911-2004)’s fixed-point theorems to show the existence of Nash equilibria in finite games with mixed strategies was and perhaps still is merely considered