Decision principles derived from risk measures
Marc Goovaerts,
Rob Kaas and
Roger Laeven
Insurance: Mathematics and Economics, 2010, vol. 47, issue 3, 294-302
Abstract:
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.
Keywords: Risk; measurement; Decision-making; Axiomatization; Measure; of; risk; Premium; principles; Solvency; capital; principles; Risk; transfer; principles; Equivalent; utility; Esscher; transform; Exponential; utility (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (39)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:47:y:2010:i:3:p:294-302
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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu
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