Decision principles derived from risk measures

In this paper, we argue that a distinction exists between risk measures and decision principles. Though both are functionals assigning a real number to a random variable, we think there is a hierarchy between the two concepts. Risk measures operate on the first “level”, quantifying the risk in the s...

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Veröffentlicht in:Insurance, mathematics & economics mathematics & economics, 2010-12, Vol.47 (3), p.294-302
Hauptverfasser: Goovaerts, Marc J., Kaas, Rob, Laeven, Roger J.A.
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container_issue 3
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container_title Insurance, mathematics & economics
container_volume 47
creator Goovaerts, Marc J.
Kaas, Rob
Laeven, Roger J.A.
description In this paper, we argue that a distinction exists between risk measures and decision principles. Though both are functionals assigning a real number to a random variable, we think there is a hierarchy between the two concepts. Risk measures operate on the first “level”, quantifying the risk in the situation under consideration, while decision principles operate on the second “level”, often being derived from the risk measure. We illustrate this distinction with several canonical examples of economic situations encountered in insurance and finance. Special attention is paid to the role of axiomatic characterizations in determining risk measures and decision principles. Some new axiomatic characterizations of families of risk measures and decision principles are also presented.
doi_str_mv 10.1016/j.insmatheco.2010.07.004
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subjects Axiomatization
Decision analysis
Decision making
Economic analysis
Equivalent utility
Esscher transform
Exponential utility
Finance
Insurance
Measure of risk
Premium principles
Principles
Random variables
Risk
Risk assessment
Risk measurement
Risk measurement Decision-making Axiomatization Measure of risk Premium principles Solvency capital principles Risk transfer principles Equivalent utility Esscher transform Exponential utility
Risk transfer principles
Solvency capital principles
Studies
Utility theory
title Decision principles derived from risk measures
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