The Art and Science of Modeling Decision-Making Under Severe Uncertainty

Moshe Sniedovich

Abstract


For obvious reasons, models for decision-making under severe uncertainty are austere. Simply put, there is precious little to work with under these conditions. This fact highlights the great importance of utilizing in such cases the ingredients of the mathematical model to the fullest extent, which in turn brings under the spotlight the art of mathematical modeling. In this discussion we examine some of the subtle considerations that are called for in the mathematical modeling of decision-making under severe uncertainty in general, and worst-case analysis in particular. As a case study we discuss the lessons learnt on this front from the Info-Gap experience.


Keywords


mathematical modeling; severe uncertainty; maximin; worst-case analysis; robust optimization; info-gap

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DOI: https://doi.org/10.7494/dmms.2007.1.2.111

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