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Ahh, I read it more closely now and you're right, it is relevant for the question I asked. I was just thinking of a more specific question, which I didn't clearly verbalize. :)
I was thinking more specifically of "choosing to merge utility functions instead of fighting" (I vaguely recall Scott Alexander having had a short story of this, but couldn't find it) and was hoping that maybe there'd be some discussion of when agents would choose such a merge instead of being in conflict. The Harsanyi result doesn't seem to say anything about that, but it is certainly relevant for the case where they have already decided to trade rather than fight.