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Introduction to game theory

机译:博弈论导论

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The basic ideas of game theory were originated from the problems of maximum and minimum given by J. von Neumann in 1928. Later, wars accelerated the study of game theory, there are many developments that contributed to the advancement of game theory, many problems of optimum appeared in economic development process. Scientists applied mathematic methods to studying game theory to make the theory more profound and perfect. The axiomatic structure of game theory was nearly complete in 1944. The path of the development of game theory started from finite to infinite, from two players to many players, from expressing gains with quantity to showing the ending of game theory with abstract result, and from certainty problems to random problems. Thus development of game theory is closely related to the economic development. In recent years, the research on the non-differentiability of Shapley value posted by Belgian Mertens is one of the advanced studies in game theory.
机译:博弈论的基本思想源于1928年冯·诺伊曼(J. von Neumann)提出的最大和最小问题。后来,战争加速了博弈论的研究,推动博弈论发展的因素有很多,许多问题涉及博弈论的发展。最优出现在经济发展过程中。科学家运用数学方法研究博弈论,使博弈论更加深刻和完善。博弈论的公理结构在1944年几乎完成。博弈论的发展路径从有限到无限,从两个参与者到许多参与者,从以数量表示的收益到以抽象结果表明博弈论的终结,以及从确定性问题到随机性问题。因此,博弈论的发展与经济发展密切相关。近年来,比利时梅尔滕斯(Bergian Mertens)发表的关于Shapley值的不可微性的研究是博弈论的高级研究之一。

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