Generalized Expected Utility as a Universal Decision Rule -A Step Forward - IRIT - Université Toulouse III Paul Sabatier
Conference Papers Year : 2024

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 an XEU.
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Dates and versions

hal-04647531 , version 1 (15-07-2024)

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  • HAL Id : hal-04647531 , version 1

Cite

Hélène Fargier, Pierre Pomeret-Coquot. Generalized Expected Utility as a Universal Decision Rule -A Step Forward. 40th Conference on Uncertainty in Artificial Intelligence (UAI 2024), Association for Uncertainty in Artificial Intelligence (AUAI), Jul 2024, Barcelona, Spain. ⟨hal-04647531⟩
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