多人多级递阶决策的几个问题--鼓励性对策及模型简化
Some Problems in Multi-Person,Multi-Level Hierarchical Dicision-Making--Incentive Game and Model Simplification
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摘要: 本文讨论了按鼓励性对策法则进行的二人、二级决策问题.利用可诱导区的概念对这一 问题解的结构给予了完整的描述并总结出将其化为单人决策问题的等价原理.这一原理可以 推广到一般情况,并可用于简化一类多人、多级决策问题.一些特殊情形也可以利用这一途径 求解.文中给出了数值例子.Abstract: The problem of 2-person, 2-level decision making according to incentive game rule is discussed. The structure of its solution is described via the concept of inducible region. It then can be summerized as an "equivalance principle" for reducing the problem to that with only single decision maker. This principle can be further used to reduce a class of mult-person, multi-level decision problems. Some special cases with numerical examples are solved to show the applicability of the approach.
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