Information algebras in the theory of imprecise probabilities

https://doi.org/10.1016/j.ijar.2021.12.017Get rights and content
Under a Creative Commons license
open access

Abstract

In this paper we create a bridge between desirability and information algebras: we show how coherent sets of gambles, as well as coherent lower previsions, induce such structures. This allows us to enforce the view of such imprecise-probability objects as algebraic and logical structures; moreover, it enforces the interpretation of probability as information, and gives tools to manipulate them as such.

Keywords

Desirability
Information algebras
Compatibility
Imprecise probabilities
Coherence

Cited by (0)