On Aumann and Serrano's Economic Index of Risk
We study the risk index of an additive gamble proposed in Aumann and Serrano (2008).We establish a generalized duality result for this index and use it to prove Yaari's (1969) alternative characterization of DARA utilities. A new characterization result for the risk index is obtained through essentially monotonic risk aversion utilities. We also extend the domain of gambles by introducing a price for gambles. We then develop a theory on the risk index for multiplicative gambles. Relative risk aversion functions for multiplicative gambles play the same role as absolute risk aversion functions for additive gambles.
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| Date of creation: | 2013 |
| Handle: | RePEc:pra:mprapa:47466 |
| Contact details of provider: | Postal: Ludwigstraße 33, D-80539 Munich, Germany Phone: +49-(0)89-2180-2459 Fax: +49-(0)89-2180-992459 Web page: https://mpra.ub.uni-muenchen.de More information through EDIRC
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