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- W162001607 abstract "We introduce a category that represents varying risk as well as uncertainty, and give a generalized conditional expectation as a contravariant functor on the category. Then, we reformulate dynamic monetary value measures as a contravariant functor on the category. We show some axioms of dynamic monetary value measures in the classical setting are deduced as theorems in the new formulation, which may be one of the evidences that the axioms are natural. We also demonstrate a topology-asaxioms paradigm in order to give a theoretical criteria with which we can pick up appropriate sets of axioms required for monetary value measures to be good." @default.
- W162001607 created "2016-06-24" @default.
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- W162001607 date "2013-01-01" @default.
- W162001607 modified "2023-09-27" @default.
- W162001607 title "A Note on Categorical Risk Measure Theory" @default.
- W162001607 cites W2164137969 @default.
- W162001607 doi "https://doi.org/10.2139/ssrn.2212642" @default.
- W162001607 hasPublicationYear "2013" @default.
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