The attack-and-defense conflict with the gun-and- butter dilemma

We analyze a general equilibrium model of attack and defense with production and conflict. One attacker and one defender allocate their fixed endowments either to produce gun or to produce butter, and the volume of guns produced determines the winner in the conflict. If the attacker wins, then it appropriates all the butter produced in the economy; otherwise, each consume only their own butter. We characterize the unique interior and unique corner equilibrium for this game. We find that (i) the defender may spend more resources on conflict than the attacker even without loss aversion or other behavioral biases, (ii) the attacker may expend all their resources only in conflict, and (iii) the interior and the corner equilibria cannot coexist.