I wish there was a name for that too, though I wouldn't call it a fallacy - more of a game theoretic strategy that plays out in any kind of adversarial situatio

I wish there was a name for that too, though I wouldn't call it a fallacy - more of a game theoretic strategy that plays out in any kind of adversarial situation. I've most commonly noticed it in lying: given two parties with imperfect information about each other, one is lying and the other is sniffing out the lie. The liar predicts, on a basic cost-benefit analysis, that "throwing away" information that satisfies a bar of suspicion will be enough indirection to quell further inquiry, because acting perfectly erudite won't "win." The liar doesn't value this information much or at all (and more importantly, knows that the other party doesn't really value that information much either), but knows that the inquiry will be dropped because the other party will think they value the information enough for it to be a confession.