We don't have a decision theory that reliably responds to offers, not to threats. We do have an algorithm that responds to offers, not to threats. Approximately it goes "when dealing with with rational agents and there is full epistemic awareness thrown all over the place respond to offers, not to threats because that is what works best." Unfortunately, integrating that into situations with epistemic uncertainty is all sorts of complex and probably beyond me. But that is a general problem that can be expected with any decision theory.