I occasionally see a question like "what would FDT recommend in ....?" and I am puzzled that there is no formal algorithm to answer it. Instead humans ask other humans, and the answers are often different and subject to interpretation. This is rather disconcerting. For comparison, you don't ask a human what, say, a chessbot would do in a certain situation, you just run the bot. Similarly, it would be nice to have an "FDTbot" one can feed a decision theory problem to. Does something like that exist? If not, what are the obstacles?
FDT operates on a causal graph. (Maybe the other requirements are also hard to satisfy?* I think this is the major obstacle.) You would probably have to create the graph, for the problem, then pass it to the program (if you write one).
One could argue that the trick in real world situations is figuring out the causal graph anyway.
When people talk about Bayesian methods here, they don't seem like they're using code for the Monte-Carlo stuff, or stuff like that.
Edit:
*JBlack's answer indicates this the other requirements, are an issue.