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TitleJohn Nash
TagsWellness Science (General) Mathematics
File Size142.0 KB
Total Pages5
Document Text Contents
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Nash is the subject of the Hollywood movie A Beautiful Mind. The film, loosely based on the
biography of the same name, focuses on Nash's mathematical genius and struggle with paranoid


• 1 Early life

• 2 Post-graduate life

• 3 Personal life

• 4 Schizophrenia

• 5 Recognition and later career

• 6 References

• 7 External links

[edit] Early life
Nash was born on June 13, 1928 in Bluefield, West Virginia. His father, after whom he is named,
was an electrical engineer for the Appalachian Electric Power Company. His mother, Margaret,
had been a school teacher prior to marriage. Nash's parents pursued opportunities to supplement
their son's education with encyclopedias and even allowed him to take advanced mathematics
courses at a local college while still in high school. Nash accepted a scholarship to Carnegie
Institute of Technology (now Carnegie Mellon University) and graduated with a Master's Degree
in only three years.[3]

[edit] Post-graduate life
Nash's advisor and former Carnegie Tech professor, R.J. Duffin, wrote a letter of
recommendation consisting of a single sentence: "This man is a genius."[4] Nash was accepted by
Harvard University, but the chairman of the mathematics department of Princeton, Solomon
Lefschetz, offered him the John S. Kennedy fellowship, which was enough to convince Nash that
Harvard valued him less.[5] Thus he went to Princeton where he worked on his equilibrium
theory. He earned a doctorate in 1950 with a 28 page dissertation on non-cooperative games.[6]

The thesis, which was written under the supervision of Albert W. Tucker, contained the
definition and properties of what would later be called the "Nash Equilibrium". These studies led
to four articles:

• "Equilibrium Points in N-person Games" , Proceedings of the National Academy of
Sciences 36 (1950), 48–49. MR 0031701

• "The Bargaining Problem", Econometrica 18 (1950), 155–162. MR 0035977

• "Non-cooperative Games", Annals of Mathematics 54 (1951), 286–295. [1]

• "Two-person Cooperative Games", Econometrica 21 (1953), 128–140. MR 0053471

Nash did ground-breaking work in the area of real algebraic geometry:

• "Real algebraic manifolds", Annals of Mathematics 56 (1952), 405–421. MR 0050928 See
Proc. Internat. Congr. Math. (AMS, 1952, pp 516–517).,_Jr.&action=edit&section=2,_Jr.&action=edit&section=1,_Jr.,_Jr.

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