[edit]

# Information Algebras of Coherent Sets of Gambles in General Possibility Spaces

*Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications*, PMLR 147:191-200, 2021.

#### Abstract

In this paper, we show that coherent sets of gambles can be embedded into the algebraic structure of

*information algebra*. This leads firstly, to a new perspective of the algebraic and logical structure of desirability and secondly, it connects desirability, hence imprecise probabilities, to other formalism in computer science sharing the same underlying structure. Both the*domain-free*and the*labeled*view of the information algebra of coherent sets of gambles are presented, considering general possibility spaces.