If you have a symmetric decision tree, you can convert it to an
influence diagram. Yous may think of influence diagrams as BN's extended
with nodes for decisions and utilities.
Actually, influence diagrams were introduced as compact representations
of symmetric decision trees.
Some work has also been done on converting asymmetric decision scenarios
to IDs.
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Howard and Matheson(1981) Influence diagrams. Reprinted in "The
Principles snd Applications of Decision Analysis, vol 2 1984
Shachter (1986) Evaluating influence diagrams. Operations Reserach,
34(6) 871-882.
Shenoy 1992. Valuation-based systems for bayesian decision analysis.
Operations Research 40(3), 463-84.
In the latest UAI proceedings you can also find variuos papers on
ifluence diagrams.
/Finn