Prudence and higher-order risk attitudes in the rank-dependent utility model

Fuente: arXiv
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Autori principali: Wang, Ruodu, Wu, Qinyu
Natura: Preprint
Pubblicazione: 2024
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author Wang, Ruodu
Wu, Qinyu
author_facet Wang, Ruodu
Wu, Qinyu
contents We obtain a full characterization of consistency with respect to higher-order stochastic dominance within the rank-dependent utility model. Different from the results in the literature, we do not assume any condition on the utility functions and the probability weighting functions, such as differentiability or continuity. It turns out that the level of generality that we offer leads to models that do not have a continuous probability weighting function and yet they satisfy prudence. In particular, the corresponding probability weighting function can only have a jump at 1, and must be linear on [0,1).
format Preprint
id arxiv_https___arxiv_org_abs_2412_15350
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Prudence and higher-order risk attitudes in the rank-dependent utility model
Wang, Ruodu
Wu, Qinyu
Theoretical Economics
We obtain a full characterization of consistency with respect to higher-order stochastic dominance within the rank-dependent utility model. Different from the results in the literature, we do not assume any condition on the utility functions and the probability weighting functions, such as differentiability or continuity. It turns out that the level of generality that we offer leads to models that do not have a continuous probability weighting function and yet they satisfy prudence. In particular, the corresponding probability weighting function can only have a jump at 1, and must be linear on [0,1).
title Prudence and higher-order risk attitudes in the rank-dependent utility model
topic Theoretical Economics
url https://arxiv.org/abs/2412.15350