I called it Bayesian because it describes what Bayesians will do. It does indeed also describe what anyone else sane will do. The point is that in order to make

I called it Bayesian because it describes what Bayesians will do. It does indeed also describe what anyone else sane will do. The point is that in order to make confidence intervals the right answer you need a situation weird enough to make even Bayesians use confidence intervals. In the case of your 100 robots, why am I supposed to want 70 of them to come to the correct decision? This seems just like my mad-scientist example: contrived to force confidence intervals (or something very like them) to be the right answer. Can you explain in what sort of situation this would be a sensible thing to care about?