  In this paper, we show that coherent sets of gambles and coherent lower and
upper previsions 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 imprecise probabilities and secondly, it connects
imprecise probabilities to other formalism in computer science sharing the same
underlying structure. Both the domain free and the labeled view of the
resulting information algebras are presented, considering product possibility
spaces. Moreover, it is shown that both are atomistic and therefore they can be
embedded in set algebras.
