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Tools for decision making under imprecise risk

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Abstract

Generalizing risk, imprecise risk is a situation where available objective information is expressible by a lower probability. We study properties of certain lower probabilities in metrizable spaces. Necessary and sufficient conditions are derived for stability of their cores under image and mixture, which are useful features in applying Expected Utility Theory under imprecise risk.

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Philippe, F. Tools for decision making under imprecise risk. Statistical Papers 43, 95–110 (2002). https://doi.org/10.1007/s00362-001-0088-1

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