Choquet rank-dependent utility

Zachary Van Oosten and Ruodu Wang

Papers from arXiv.org

Abstract: We propose a new decision model under ambiguity, called the Choquet rank-dependent utility model. The model extends the Choquet expected utility model by allowing for the reduction to the rank-dependent utility model in the absence of ambiguity, rather than to the expected utility model. The model has three major components: a utility function $u$ and a probability distortion $g$, which together capture the risk component of the preferences, and generalized probabilistic beliefs $\nu$, which captures the ambiguity component of the preferences. The representation takes the form $X\succsim Y\iff \int_{\Omega} u(X)d(g\circ\nu)\iff \int_{\Omega} u(Y)d(g\circ\nu).$ To obtain the axiomatization, we work in the uncertainty setting of Savage with a non-ambiguous source. Afterwards, we discuss ambiguity attitudes and their representation with respect to the generalized probabilistic beliefs, along with conditions for a robust representation.

Date: 2025-09
New Economics Papers: this item is included in nep-dcm and nep-mic
References: Add references at CitEc
Citations:

Downloads: (external link)
http://arxiv.org/pdf/2509.10788 Latest version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2509.10788

Access Statistics for this paper

More papers in Papers from arXiv.org
Bibliographic data for series maintained by arXiv administrators ().