This is a linkpost for https://confusopoly.com/2019/04/03/the-optimizers-curse-wrong-way-reductions/.
Summary
I spent about two and a half years as a research analyst at GiveWell. For most of my time there, I was the point person on GiveWell’s main cost-effectiveness analyses. I’ve come to believe there are serious, underappreciated issues with the methods the effective altruism (EA) community at large uses to prioritize causes and programs. While effective altruists approach prioritization in a number of different ways, most approaches involve (a) roughly estimating the possible impacts funding opportunities could have and (b) assessing the probability that possible impacts will be realized if an opportunity is funded.
I discuss the phenomenon of the optimizer’s curse: when assessments of activities’ impacts are uncertain, engaging in the activities that look most promising will tend to have a smaller impact than anticipated. I argue that the optimizer’s curse should be extremely concerning when prioritizing among funding opportunities that involve substantial, poorly understood uncertainty. I further argue that proposed Bayesian approaches to avoiding the optimizer’s curse are often unrealistic. I maintain that it is a mistake to try and understand all uncertainty in terms of precise probability estimates.
I go into a lot more detail in the full post.
I made a long top-level comment that I hope will clarify some problems with the solution proposed in the original paper.
This is a good point. Somehow, I think you’d want to adjust your posterior downward based on the set or the number of options under consideration and how unlikely the data that makes the intervention look good. This is not really useful, since I don't know how much you should adjust these. Maybe there's a way to model this explicitly, but it seems like you'd be trying to model your selection process itself before you've defined it, and then you look for a selection process which satisfies some properties.
You might also want to spend more effort looking for arguments and evidence against each option the more options you're considering.
When considering a larger number of options, you could use some randomness in your selection process or spread funding further (although the latter will be vulnerable to the satisficer's curse if you're using cutoffs).
If I haven’t decided on a prior, and multiple different priors (even an infinite set of them) seem equally reasonable to me.