Geometry on the Utility Space - Archive ouverte HAL Access content directly
Conference Papers Year : 2015

Geometry on the Utility Space

(1, 2) , (3) , (4, 1) , (4, 1)
1
2
3
4

Abstract

We study the geometrical properties of the utility space (the space of expected utilities over a finite set of options), which is commonly used to model the preferences of an agent in a situation of uncertainty. We focus on the case where the model is neutral with respect to the available options, i.e. treats them, a priori, as being symmetrical from one another. Specifically, we prove that the only Riemannian metric that respects the geometrical properties and the natural symmetries of the utility space is the round metric. This canonical metric allows to define a uniform probability over the utility space and to naturally generalize the Impartial Culture to a model with expected utilities.
Fichier principal
Vignette du fichier
geometry_on_the_utility_space.pdf (514.65 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01222871 , version 1 (30-10-2015)

Licence

Attribution - CC BY 4.0

Identifiers

Cite

François Durand, Benoît Kloeckner, Fabien Mathieu, Ludovic Noirie. Geometry on the Utility Space. Fourth International Conference on Algorithmic Decision Theory, Sep 2015, Lexington, United States. pp.16, ⟨10.1007/978-3-319-23114-3_12⟩. ⟨hal-01222871⟩
153 View
123 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More