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I think of this as a special case of "leave a line of retreat". If you want someone to do/accept X voluntarily, you usually need to make it possible for them to do so while retaining face. Where "admitting you did something bad" definitely counts as losing face.
It is, yes, but it's not a special case that seems to be obvious to many people who know the general case.
Fair enough! Maybe it's the "true prisoners dilemma" version, i.e. you need to think about whether to leave a retreat *especially* when you really don't want to ("but they *should* be blamed!").
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