John Forbes Nash Jr. (born June 13, 1928) is a mathematician who worked in game theory and differential geometry. He shared the 1994 Nobel Prize for economics with two other game theorists, Reinhard Selten and John Harsanyi.

After a promising start to his mathematical career, Nash began to suffer from schizophrenia around his 30th year, an illness from which he has only recovered some 25 years later.

John Nash was born in Bluefield, West Virginia as son of John Nash Sr. and Virginia Martin. His father was an electrotechnician; his mother a language teacher. As a young boy he spent much time reading books and experimenting in his room, which he had converted into a laboratory.

From June 1945-June 1948 Nash studied at the Carnegie Institute of Technology in Pittsburgh, intending to become a technical engineer like his father. Instead, he developed a deep love for mathematics and a lifelong interest in subjects such as number theory, Diophantine equations, quantum mechanics and relativity theory. He loved solving problems.

At Carnegie he became interested in the 'negotiation problem', which John von Neumann had left unsolved in his book The Theory of Games and Economic Behavior (1928). He participated in the game theory group there.

From Pittsburgh he went to Princeton University where he worked on his equilibrium theory. He received a Ph.D. in 1950 with the dissertation Non-cooperative games. The thesis contained the definition and properties of what would later be called the Nash equilibrium; 44 years later, it would earn him the Nobel prize. His studies on this subject led to three articles, the first entitled 'Equilibrium Points in N-person Games', published in the Proceedings of the National Academy of Sciences (USA) (1950), and the others in Econometrica about The Bargaining Problem (April 1950) and 'Two-person Cooperative Games' (January 1953). The only official economic lessons he followed were a series about international trade.

...JohnForbesNash, Jr. (born June 13, 1928) is an American mathematician whose works in game theory, differential geometry, and partial differential equations have provided insight into the forces that govern chance and events inside complex systems in daily life. His theories are used in market economics, computing, evolutionary biology, artificial intelligence, accounting, politics and military theory. Serving as a Senior Research Mathematician at Princeton University during the later part of his life, he shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi.
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 schizophrenia.[1][2]
Contents
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...

...In the short span of ten years, JohnForbesNash, Jr. published an astounding fourteen papers relating to such diverse mathematical subjects as game theory, differential equations, parabolic equations, and fluid dynamics. Although Nash is best known for his works in game theory, for which he received the Nobel Prize in economics in 1994, his other mathematical works do deserve investigation. Many argue however, that Nash's theories relating to non-cooperative games are much less significant than those applicable to other mathematical subjects.
In 1950, Nash published Equilibrium points in n-person games. Previous works (by von Newmann and Morganstern) state in non-cooperative games, all results achieve a zero sum. In other words, the theory of von Newmann and Morganstern states that in every non-cooperative game there is a winner and a loser. Nash's theory adds to the previous theory of von Newmann and Morganstern by stating that there does not always need to be a winner and a loser. In fact, it states that in a game each side will attempt to win to the best of his ability. The other player will know this and will attempt to counter the strategy of the other player. Eventually, an equilibrium point (also known as a Nash Equilibrium) will occur in the game, where each player neither wins nor loses.
For example, pretend that there are two car dealers in a small town....

...JohnForbesNashJr.
Introduction
JohnForbesNashJr. was born on June 13th of 1928. He has greatly impacted
today’s society with his works in game theory, differential geometry, and partial
differential equations. His theories are used in many aspects of our lives today
such as in economics, computing, evolutionary biology, artificial intelligence,
accounting, politics and in military theory. Within his lifetime Nash has received several
prestigious awards. In 1978 he was awarded the John Von Neumann Theory Prize. In
1994 he and his coworkers Reinhard Selton and John Harsanyi were awarded the Nobel
Memorial Prize in Economic Sciences and he was also awarded the Abel Prize in 2015
for his work on non linear partial differential equations.
JohnForbesNashJr. was born in Bluefield, West Virginia in 1928 to his father
JohnForbesNash, an electrical engineer for the Appalachian Electric Power Company,
and his mother Margaret Virginia Martin, known as “Virginia”, who was a school
teacher. Nash has one younger sister named Martha. Nash had a very advanced,
...

...beautiful mind is a great way to describe JohnNash because he was a brilliant person who suffered and fought through Schizophrenia. Nash was born on June 13, 1928, in Bluefield, West Virginia. His father was an electrical engineer for the Appalachian Electric Power Company. His mother, name was Virginia Martin and she had been a schoolteacher before she married. Nash had a younger sister, Martha, born November 16, 1930.Nash attended kindergarten and public school. Nash's parents worked hard to create a challenging learning program for their son's education, and arranged for him to take advanced mathematics courses at a local community college during his final year of high school. Nash attended Carnegie Mellon University with a full scholarship, and the George Westinghouse, which was a scientific/mathematic competition that helped students earn scholarship money. He initially majored in Chemical Engineering. He switched to Chemistry, and eventually to Mathematics. After graduating in 1948 with Bachelor of Science and Master of Science degrees in mathematics, he received a scholarship to Princeton University where he pursued his graduate studies in Mathematics. At Princeton he worked on his equilibrium theory. JohnNash had a bright future ahead of him at Princeton but he did go through some devastating problem which created obstacles, like his mental illness,...

...JOHNFORBESNASHJR.
CLARKE R. REECE
MATHMATICS
PROF. KEVIN DENT
08/03/2012
JohnForbesNashJr. was born June 13, 1928 in Bluefield, West Virginia. Mr. NashJr. is an American mathematician who won the 1994 Nobel Prize for his works in the late 1980’s on game theory. Game theory is the study of strategic decision making or more formally known as the mathematical models of conflict and cooperation between intelligent and rational decision makers. Game theory is mainly used in economics, political science, and psychology, as well as logic and biology. Mr. NashJr. has also contributed numerous publications involving differential geometry, and partial differential equation (PDE). Differential geometry is a mathematical discipline that uses differential calculus and integral calculus, linear algebra and multi linear algebra to study geometry problems. Partial differential equation is a differential equation that contains unknown multivariable functions and their partial derivatives. These are used to formulate problems involving functions of several variables.
Mr. NashJr. used all of these skills and is known for developing the Nash embedding theorem. The Nash embedding theorem...

...JohnNash Biography
JohnNash (June 13, 1928 – present) is a brilliant mathematician, specializing in economics. He was born n Westfield, West Virginia, into a family of three, he, his father – an electrical engineer, and his mother – a school teacher who pushed him to do many great things that led to his superb education and extraordinary mind. As a child, he had a quiet and withdrawn personality, but was very intelligent. He started reading at four, skipped a grade, and even learned Latin, all of which his mother pressed on him. As he grew up, he became aware of how smart he was and could be seen by some as being arrogant and an introvert. In his eyes, extracurricular activity such as music and sports were a waste of time and distracted him from his math and science studies. Starting in the fourth grade, his aptitude for mathematics became evident when he would solve complicated problems easily in front of the teachers’ eyes. Nash went to Carnegie Institute of Technology under a George Westinghouse Scholarship, with a George Westinghouse Award, which was only given to ten people. He studied chemical engineering, but disliked it and switched to chemistry. From chemistry, he switched again to mathematics to where he found his passion. He ended up with a Masters Degree and a Bachelor Degree in mathematics. Harvard University accepted him, but the chairman of Princeton University wrote him and persuaded...

...1959.
Main Characters:
JohnNash The schizophrenic who later got a Nobel Prize for his mathematical prowess.
Alicia Nash The student of Nash who later becomes his wife and helps him overcome his illness.
Parcher The Defense Department agent who was also imagined by Nash
Charles Nash's roommate whom he also imagined.
Main Problems:
There is a lack of social interaction with his classmates.Nash also has the inability of accepting defeat. He also has the tendencies to have a world of his own, and he also brings to life imaginary friends or people in his illusion of being one who has the responsibility of keeping the world safe.
Conclusion:
Nash is a paranoid schizophrenic. His college roommate Charles, his roommate's niece, and the Defense Department agent were all imagined. Nash is hospitalized, and undergoes intense experimental treatment with mixed results. In his later years, he's able to control his illness and goes on to win a Nobel Prize for his economic theories.
Description of Behavior:
Nash could function socially in the outside world, but he became engrossed in his science to the point where he became distracted. His abnormality was clear in the movie where he is shown to talk to illusionary individuals. Clearly, to some, his behavior was not adaptive, but to a fellow scientist in the same field, perhaps they could relate...