*Encyclopedia of World Biography*. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.

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*Encyclopedia of World Biography* on John Forbes Nash, Jr.

Awarded a Nobel Prize in Economics in 1994 for his pioneering work in game theory, John Nash (born 1928) distinguished himself as one of the foremost mathematical researchers and theorists of the twentieth century.

Game theory was the subject of Nash's doctoral dissertation at Princeton University. Expanding upon the initial game theory of John von Neumann and Oskar Morgenstern, published in their *The Theory of Games and Economic Behavior,* Nash developed what became known as "Nash's equilibrium" to explain how two or more competitors can arrive at a mutually beneficial yet non-cooperative business arrangement. In 1951, he developed the theory that manifolds--objects containing various forms and components--can be described accurately using algebraic equations. He later developed what became known as the Nash-Moser theorem, which explained how it was possible to embed a manifold in a Euclidean space by employing differential calculus instead of algebra and geometry. Nash's subsequent career...

This section contains 1,393 words(approx. 5 pages at 300 words per page) |