Can you recommend an explanation of the complete class theorem(s)? Preferably online. I've been googling pretty hard and I've turned up almost nothing. I'd like to understand what conditions they start from (suspecting that maybe the result is not quite as strong as "Bayes Rules!"). I've found only one paper, which basically said "what Wald proved is extremely difficult to understand, and probably not what you wanted."
Thank you very much!
Maybe try this one? Let me know if that helps or if you're looking for something different.
The complete class theorem states, informally: any Pareto optimal decision rule is a Bayesian decision rule (i.e. it can be obtained by choosing some prior, observing data, and then maximizing expected utility relative to the posterior).
Roughly, the argument is that if I have a collection W of possible worlds that I could be in, and a value U(w) to taking a particular action in world w, then any Pareto optimal strategy implicitly assigns an "importance" p(w...
Question in title.
This is obviously subjective, but I figure there ought to be some "go-to" paper. Maybe I've even seen it once, but can't find it now and I don't know if there's anything better.
Links to multiple papers with different focus would be welcome. For my current purpose I have a preference for one that aims low and isn't too long.