SAT写作经典事例：约翰_纳什.pdfVIP

智 课 网 S A T 备 考 资 料 SAT写作经典事例：约翰・纳什 无论是SAT写作，还是雅思、托福写作，事例素材的积累都是至关 重要的。但是很多SAT考生素材局限于安徒生、爱迪生以及爱伊斯坦等 等，本文将为大家介绍著名物理学家约翰・纳什。 John Nash (1928-) When the young Nash had applied to graduate school at Princeton in 1948, his old Carnegie Tech professor, R.J. Duffin, wrote only one line on his letter of recommendation: This man is a genius. It was at Princeton that Nash encountered the theory of games, then recently launched by John von Neumann and Oskar Morgenstern. However, they had only managed to solve non-cooperative games in the case of pure rivalries (i.e. zero-sum). The young Nash turned to rivalries with mutual gain. His trick was the use of best-response functions and a recent theorem that had just emerged - Kakutanis fixed point-theorem. His main result, the Nash Equilibrium, was published in 1950 in the Proceedings of the National Academy of Sciences. He followed this up with a paper which introduced yet another solution concept - this time for two-person cooperative games - the Nash Bargaining Solution (NBS) in 1950. A 1951 paper attached his name to yet another side of economics - this time, the Nash Programme, reflecting his methodological call for the reduction of all cooperative games into a non-cooperative framework. His contributions to mathematics were no less remarkable. As an undergraduate, he had inadvertently (and independently) proved Brouwers fixed point theorem. Later on, he went on to break one of Riemanns most perplexing mathematical conundrums. From then on, Nash provided breakthrough after breakthrough in mathematics. In 1958, on the threshold of his career, Nash got struck by paranoid schizophrenia. He lost his job at MIT in 1959 (he had been tenured there in 1958 - at the age of 29) and was virtually incapicated by the disease for the next two decades or so. He roamed about Europe and America, finally, returning to Princeton where he became a sad, ghost