ISSN:
1573-0476
Keywords:
risk aversion
;
certainty equivalent
;
multivariate utilities
;
independent risks
;
comparative concavity
;
multiple risks
Source:
Springer Online Journal Archives 1860-2000
Topics:
Economics
Notes:
Abstract The more risk-averse of two individuals need not have the smaller certainty equivalent for a risk \~x if another risk or combination of risks w is present. It is shown that he must, however, if either individual's conditional certainty equivalent for x is increasing in w. For independent risks, this condition follows immediately if either individual is decreasingly risk-averse, giving a natural proof of a known result. Another short proof of this result and necessary and sufficient conditions in the independent case are give. For multivariate utilities, the corresponding results do not hold, but it is proved simply that any mixture of decreasingly risk-averse utilities is decreasingly risk-averse. Also touched upon are risk aversion's relation to generalized means, concave composition, risk sharing, and interest rates, the application of the results to discounting under uncertainty and selection of investment level, and their connection to singly crossing distributions, noise, and dominance.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00117643
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