Generalized Expected Utility as a Universal Decision Rule – A Step Forward
Abstract
In order to capture a larger range of decision rules, this paper extends the seminal work of [Friedman and Halpern, 1995, Chu and Halpern, 2003, 2004] about Generalized Expected Utility. We introduce the notion of algebraic mass function (and of algebraic Möbius transform) and provide a new algebraic expression for expected utility based on such functions. This utility, that we call "XEU", generalizes Chu and Halpern’s GEU to non-decomposable measures and allows for the representation of several rules that could not be captured up to this point, and noticeably, of the Choquet integral. A representation theorem is provided that shows that only a very weak condition is needed for a rule in order to be representable as a XEU.
Cite
Text
Fargier and Pomeret-Coquot. "Generalized Expected Utility as a Universal Decision Rule – A Step Forward." Uncertainty in Artificial Intelligence, 2024.Markdown
[Fargier and Pomeret-Coquot. "Generalized Expected Utility as a Universal Decision Rule – A Step Forward." Uncertainty in Artificial Intelligence, 2024.](https://mlanthology.org/uai/2024/fargier2024uai-generalized/)BibTeX
@inproceedings{fargier2024uai-generalized,
title = {{Generalized Expected Utility as a Universal Decision Rule – A Step Forward}},
author = {Fargier, Hélène and Pomeret-Coquot, Pierre},
booktitle = {Uncertainty in Artificial Intelligence},
year = {2024},
pages = {1323-1338},
volume = {244},
url = {https://mlanthology.org/uai/2024/fargier2024uai-generalized/}
}