 Unfortunately, Bolker’s representation theorem does not yield a result anywhere near as unique as Savage’s. Even if a person’s preferences satisfy all the conditions in Bolker’s theorem, then it is neither guaranteed that there will be just one probability function that represents her beliefs nor that the desirability function that represents her desires will be unique up to a positive linear transformation (unless her preferences are unbounded). Even worse, the same preference ordering satisfying all these axioms could be represented as maximising desirability relative to two probability functions that do not even agree on how to order propositions according to their  probability.[12]