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Main Content: UNIT 1 MATHEMATICS

I.Text Organization Parts Paragraphs Main Ideas Game theory can be defined as the science of strategy which studies both pure conflicts (zero-sum games) and conflicts in cooperative forms. Part Two Paras. 4-11 There are two distinct types of strategic interdependence: sequential-move game and Part One Paras. 1-3 simultaneous-move game. Part Three Paras. 12-19 The typical examples of game theory are given as the basic principles such as prisoners’ dilemma, mixing moves, strategic moves, bargaining, concealing and revealing information. Part Four Para. 20 The research of game theory has succeeded in illustrating strategies in situations of conflict and cooperation and it will focus on the design of successful strategy in future.

II.Language Points

The games it studies range from chess to child rearing and from tennis to takeovers. (Para.1) Paraphrase: The games it (game theory) studies extends from chess to child bringing-up and from tennis to handovers. range: v. to vary between limits, extend, run in a line e.g. (1) The price ranges from $ 30 to $ 80. (2) The boundary ranges from north to south. takeover: n. the act or an instance of assuming control or management of or responsibility for sth. 接收、接管 e.g. The economy of Hongkong goes well after its takeover. Game theory was pioneered by Princeton mathematician John von Neumann. (Para.2) pioneer: v. to be a pioneer; to originate (course of action etc., followed later by others) e.g. The new treatment for cancer was pioneered by the experts of state hospital. pioneer: n. original investigator of subject or explorer or settler; initiator of enterprise e.g. The young generation was greatly motivated by the pioneers’ exploits. That is, the participants were supposed to choose and implement their actions jointly. (Para.2) Paraphrase: That is, the players were expected to select and carry out their actions together. … he must anticipate and overcome resistance to his plans. (Para.3) anticipate: v. 1) to expect or realize beforehand; to foresee e.g. The experts are anticipating the negative effects of air pollution. anticipate: v. 2) to deal with or use before proper time 预支 e.g. Ted was not used to saving monthly and he would always anticipate his income. The essence of a game is the interdependence of player strategies. (Para.4) Paraphrase: The key principal of a game is that player strategies are dependent on each other. essence: n.1) the quality which makes a thing what it is; the inner nature or most important quality of a thing e.g. The two things are the same in outward form but different in essence. essence: n. 2) extract obtained from a substance by taking out as much of the mass as possible e.g. milk essence; essence of peppermint (椒薄荷、椒薄荷油) interdependence: n. the quality or fact of depending on each other