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Axioms 2014, 3(1), 31-45; doi:10.3390/axioms3010031

Second-Order Risk Constraints in Decision Analysis

1,* , 1
1 Department of Computer and Systems Sciences, Stockholm University, Kista 164 40, Sweden 2 Risk and Crisis Research Center, Mid Sweden University, Sundsvall 851 70, Sweden
* Author to whom correspondence should be addressed.
Received: 8 November 2013 / Revised: 24 December 2013 / Accepted: 27 December 2013 / Published: 17 January 2014
(This article belongs to the Special Issue Axioms of Decision Support System)
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Recently, representations and methods aimed at analysing decision problems where probabilities and values (utilities) are associated with distributions over them (second-order representations) have been suggested. In this paper we present an approach to how imprecise information can be modelled by means of second-order distributions and how a risk evaluation process can be elaborated by integrating procedures for numerically imprecise probabilities and utilities. We discuss some shortcomings of the use of the principle of maximising the expected utility and of utility theory in general, and offer remedies by the introduction of supplementary decision rules based on a concept of risk constraints taking advantage of second-order distributions.
Keywords: decision analysis; second-order information; risk analysis; risk constraints decision analysis; second-order information; risk analysis; risk constraints
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Ekenberg, L.; Danielson, M.; Larsson, A.; Sundgren, D. Second-Order Risk Constraints in Decision Analysis. Axioms 2014, 3, 31-45.

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