Geometry on the Utility Space - Archive ouverte HAL
Communication Dans Un Congrès Année : 2014

Geometry on the Utility Space

Résumé

We examine the geometrical properties of the space of expected utilities over a finite set of options, which is commonly used to model the preferences of an agent. We focus on the case where options are assumed to be symmetrical a priori. 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.
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Dates et versions

hal-01096018 , version 1 (16-12-2014)

Identifiants

  • HAL Id : hal-01096018 , version 1

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François Durand, Benoît Kloeckner, Fabien Mathieu, Ludovic Noirie. Geometry on the Utility Space. The 12th Meeting of the Society for Social Choice and Welfare (SSCW 2014), Jun 2014, Boston, United States. ⟨hal-01096018⟩
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