Introduction to game theory
Introduction to game theory
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DOI：
10.1002/9780470050118.ecse168
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发表时间：
2003-05
影响因子：
--
通讯作者：
K. Tuyls;A. Nowé
中科院分区：
文献类型：
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作者：
K. Tuyls;A. Nowé
博弈论的基本思想起源于1928年冯·诺依曼提出的最大值和最小值问题。后来，战争加速了博弈论的研究，有许多发展促进了博弈论的进步，经济发展过程中出现了许多最优问题。科学家们将数学方法应用于博弈论的研究，使博弈论更加深刻和完善。博弈论的公理化结构在1944年几乎完成。博弈论的发展轨迹是从有限到无限，从两个博弈者到多个博弈者，从用数量表示收益到用抽象结果表示博弈论的结局，从确定性问题到随机性问题。因此博弈论的发展与经济的发展密切相关。近年来，比利时人Mertens对Shapley值不可微性的研究是博弈论的前沿研究之一。
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 posed by Belgian Mertens is one of the advanced studies in game theory.