本文的内容有两部分,第一部分研究一类具有 team 解的线性二次型离散动态对策问题,采用动态规化的模式,构造一个新的主从诱导策略,这种策略结构简单,易于实现,对于从方的任何偏离,只惩罚一步,所以,这一诱导策略满足一定的最优性原理。第二部分研究三人三层主从对策问题,在 Hilbert 空间上,证明了一般的仿射诱导策略的存在及其条件,并构造了这一仿射诱导策略。以上两部分内容构成了文中的两个命题,每一个命题都在相应的证明之后给出了简单的例子,以验证命题的有效应用。 In the first part, we study a class of linear quadratic discrete dynamic game with team solution and adopt a dynamic normalization model to construct a new master-slave induction strategy. The strategy is simple and easy to implement, For any departure from the party, only one step of punishment, therefore, this induction strategy to meet certain optimality principle. In the second part, we study the problem of master-slave three-person three-layer strategy. In the Hilbert space, we prove the existence and conditions of general affine guidance strategy and construct this affine guidance strategy. The above two parts constitute the two propositions in the paper. Each proposition gives a simple example after the corresponding proof to verify the effective application of the proposition.