Where you don’t have an opponent (or at least one that makes predictions), I’m with Eliezer: noise never helps at a fundamental level.
Several of my examples did not have opponents. To list three: the bargaining example, the randomized controlled trials example, and P vs. BPP.
Several of my examples did not have opponents. To list three: the bargaining example, the randomized controlled trials example, and P vs. BPP.