UNCERTAINTY AND DISCRETE MAXIMIN

V. Zhukovskiy, L. Smirnova
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Abstract

The article consists of two parts. The first part is devoted to general questions that are related to uncertainty: causes and sources of uncertainties appearance, classification of uncertainties in economic systems and approach to their assessment. In the second part the concept of maximin, based on the principle of guaranteed result (Wald’s principle) is considered. In this case, maximin is interpreted from viewpoint of two-level hierarchical game. On the basis of the maximin concept, a guaranteed solution in outcomes for K-stage positional single-criterion linear quadratic problem under uncertainty is formalized. An explicit form of the guaranteed solution for this problem is found
不确定性和离散极大值
本文由两部分组成。第一部分专门讨论与不确定性有关的一般问题:不确定性出现的原因和来源,经济系统中不确定性的分类及其评估方法。第二部分在保证结果原则(Wald原则)的基础上,提出了极大值的概念。在这种情况下,从两级层次博弈的角度来解释极大值。在极大值概念的基础上,给出了不确定条件下k期位置单准则线性二次问题结果的保证解。找到了该问题的保证解的显式形式
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