Using the language of summarising statistics in dynamic decisions
by Kurt J. Engemann, Holmes E. Miller, Ronald R. Yager
International Journal of Technology, Policy and Management (IJTPM), Vol. 3, No. 3/4, 2003

Abstract: Decision making under risk in a dynamic environment involves making a sequence of decisions which are interspersed with probabilistic events leading to an uncertain outcome. Decision makers typically use the expected value as a measure to summarise the value of a particular decision policy. We introduce a new methodology, using the language of summarising statistics, to allow the decision maker to assess the worth of a course of action. The decision maker may systematically align probabilistic elements with his own judgement. Summarising statistics provide descriptive measures to aid the decision maker's understanding of a complex dynamic decision environment and to select a preferred sequence of decisions. We apply the Ordered Weighted Averaging operator as a basis for generating summarising statistics. We show how weight generating functions can induce different forms of Ordered Weighted Averaging operators which in turn revise event probabilities in the light of the decision maker's disposition. We illustrate our methodology by determining a decision policy to counter cyberterrorism.

Online publication date: Mon, 10-May-2004

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