Abstract | ||
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The expected utility operators introduced in a previous paper offer a framework for a general risk aversion theory, in which risk is modeled by a fuzzy numberA. In this paper, we formulate a coinsurance problem in the possibilistic setting defined by an expected utility operatorT. Some properties of the optimal savingT-coinsurance rate are proved, and an approximate calculation formula of this is established with respect to the Arrow-Pratt index of the utility function of the policyholder, as well as the expected value and the variance of a fuzzy numberA. Various formulas of the optimalT-coinsurance rate are deduced for a few expected utility operators in case of a triangular fuzzy number and of some HARA- and CRRA-type utility functions. |
Year | DOI | Venue |
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2020 | 10.1007/s00500-020-05100-6 | SOFT COMPUTING |
Keywords | DocType | Volume |
Expected utility operators, Coinsurance | Journal | 24 |
Issue | ISSN | Citations |
24 | 1432-7643 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Irina Georgescu | 1 | 79 | 15.48 |