Multi-currency Influence Diagrams

Solution of decision problems, which involve utilities of several currencies, have traditionally required the problems to be converted into decision problems involving utilities of only one currency. This conversion are carried out using a tacit transformation, under the assumption that the converted problem is equivalent to the original one. In this paper we present an extension of the Influence Diagram framework, which allows for these decision problems to be modelled in their original form. We present an algorithm that, given a conversion function between the currencies, discovers a characterization of all other such functions, which would give rise to the same optimal strategy. As this characterization can be complex, we give methods to present the functions in a more compact, but more inaccurate, manner