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We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.
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The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function …, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in … mathematical challenges: simple extensions and generalizations of NM theory into the prospect theory cannot be frequently achieved …
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We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We study the case of constant relative risk aversion (of some order) to investigate on different equivalence relations in order to determine the, possibly infinite, number of equivalence...
Persistent link: https://www.econbiz.de/10003379506
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We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.
Persistent link: https://www.econbiz.de/10010397965
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