This is only codifying the bias in reason. If this is as severe a feedback loop as your reasoning suggests, then rational agents aware of this bias are all too necessary to start disabling the feedback loop. Nobody "wins" a war; one side just gets their demands met to some degree. That's a far cry from "winning" by any utility function that values human life much.
By a feedback loop, do you mean a process whereby uses of violence are likely to provoke violent responses, making everybody less willing to compromise? If so, then I entirely agree that this is worth examining, and I wish I could figure out what I said that makes it seem like you think you are saying something I'd disagree with.
Max Abrahms, "The Credibility Paradox: Violence as a Double-Edged Sword in International Politics," International Studies Quarterly 2013.
I found this via Bruce Schneier's blog, which frequently features very valuable analysis clustered around societal and computer security.