Introduction to game theory  

作　　者：ZHANG Shengkai & ZHANG YadongDalian Institute of Light Industrial Technology, Dalian 116034, China Correspondence should be addressed to Zhang Shengkai (e-mail: ZSK@ 163.net.cn) 

出　　处：《Chinese Science Bulletin》2003年第9期841-846,共6页

基　　金：supported by the National Natural Science Foundation of China(Grant No.79870025)and Dalian Government.

摘　　要：The basic ideas of game theory were originated from the problems of maximum and minimum given by J.Yon 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.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.

关 键 词：博弈论 公理化结构 经济发展 支付方程 数学方法 非可微性夏普利点 

分 类 号：O225[理学—运筹学与控制论]