Information algebras in the theory of imprecise probabilities
Arianna Casanova, Juerg Kohlas, Marco Zaffalon · International Journal of Approximate Reasoning · 2021
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.