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John Nash: Beautiful Mind
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Mind Ninja is a simple two-player strategy game inspired by John Nash and Piet Hein's Hex, a connection game in which each player tries to connect two sides of a game board. In Mind Ninja, one player, the "builder," describes a pattern s/he will construct using colored stones to fill in spaces on a board while the other player acts as a "blocker." The game has just four rules, and a number of twists. Unlike other games, all colored pieces are shared; nobody owns the stones of each color. The game ends when either the board is completely full or the pattern has been built.
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Russell Crowe plays John Forbes Nash in 'A Beautiful Mind' directed by Ron Howard and based on the biography of the same name by Sylvia Nasar. The film was released in Australia in February 2002.
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In 1961, John was committed by Alicia and his sisters to Trenton State Hospital in New Jersey. There, he was subjected to insulin-coma therapy, which involved injecting the patient with large amounts of insulin to put them into a coma, often causing seizures. His colleagues in mathematics were outraged and wrote a letter to the hospital, urging the doctors to protect his mind for the good of humanity. He was discharged after six months of the insulin treatment and looked absolutely terrible to his family members.
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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 was diminished by severe mental illness, which was documented in Sylvia Nasar's biography of Nash, A Beautiful Mind, and the film of the same name directed by Ron Howard.
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The film A Beautiful Mind, released in 2001, directed by Ron Howard, starred Russell Crowe as Nash and Jennifer Connelly as his wife, was inspired by Nash's life and received four Academy Awards, including Best Picture. It is loosely based on Sylvia Nasar's biography... called A Beautiful Mind, and has been criticized for its inaccurate portrayal of Nash's life and schizophrenia as well as for the over-simplified representation of the famous Nash equilibrium. (The bar room game described in the movie was not a Nash equilibrium; the men looking for a date would have an incentive to deviate from their original choices if the prettiest girl was still available. This assumes that the prettiest girl has no decision making role, however one might argue that the fact that she was initially snubbed may lead her to remove herself from the game.) The PBS documentary A Brilliant Madness attempts to portray his life more accurately.
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After being highly productive during his twenties, Nash suffered a mental breakdown in 1959, while his wife Alicia, whom he had married in 1957, was pregnant. Nash's schizophrenic delusions led to long periods, sometimes involving involuntary hospitalisation, when he did not publish any mathematical work. This breakdown is controversially covered in the 2001 film A Beautiful Mind, which in turn is based on the 1998 unauthorised biography of the same name, written by Sylvia Nasar.
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Beautiful Mind