Born June 13, 1928 in Bluefield, West Virginia [Died] May 23, 2015. American mathematician near Monroe Township, New Jersey. Full name John Forbes Nash, Jr.. He received his bachelor's and master's degrees from the Carnegie Institute of Technology (later renamed Carnegie Mellon University) in 1948. His doctoral thesis, "Noncooperative Games," published in the Journal of Mathematics in 1950, caused a great sensation, and he received his doctorate from Princeton University. He became a professor at the Massachusetts Institute of Technology in 1951, but resigned due to ill health in the late 1950s and returned to Princeton as a visiting scholar. He established the mathematical foundation of game theory, a branch of mathematics that studies rivals in order to win among competitors with competing interests. This theory, known as the Nash solution or Nash equilibrium theory (→ Cournot-Nash equilibrium), attempts to explain the dynamics of threats and behavior among competitors. Although it has practical limitations, Nash's theory has been widely applied to business strategies. In 1994, he was awarded the Nobel Prize in Economic Sciences along with his collaborators John C. Harsanui and Reinhard Selten. The film A Beautiful Mind (2001), which won the Academy Award for Best Picture and other awards, was based on a biography of Nash. In 2015, he was awarded the Abel Prize. Nash |
[生]1928.6.13. ウェストバージニア,ブルーフィールド [没]2015.5.23. ニュージャージー,モンロータウンシップ近郊 アメリカ合衆国の数学者。フルネーム John Forbes Nash, Jr.。1948年カーネギー工科大学(のちカーネギーメロン大学に改称)で学士号と修士号を取得。1950年『数学紀要』に発表した学位論文「非協力的ゲーム」が大反響を呼び,プリンストン大学で博士号を取得。1951年マサチューセッツ工科大学の教授となったが,1950年代後半には健康を害して辞任し,プリンストン大学に客員研究員として戻る。ゲームの理論による数学的基礎,すなわち利害が交錯する競争者の間では勝つために競争相手について研究するという数学の一分野を確立した。ナッシュの解決法もしくはナッシュの均衡理論として知られるこの理論(→クールノ=ナッシュ均衡)は,競争者間の脅威や行動のダイナミズムを説明しようとするものであった。実践的には限界があるものの,ナッシュの理論はビジネス上の戦略に広く応用された。1994年,共同で研究を進めたジョン・C.ハルサヌイ,ラインハルト・ゼルテンとともにノーベル経済学賞を受賞した。アカデミー賞作品賞などを受賞した映画『ビューティフル・マインド』A Beautiful Mind(2001)はナッシュの伝記を元にした作品。2015年アーベル賞を受賞。 ナッシュ
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