The Deterrence Effects of Gun Laws in Games with Asymmetric Skills and Information

This paper presents a game-theoretic model of crime and self-defense with gun use. The main purpose is to evaluate gun control policy effectiveness on crime reduction. The effects of assumption regarding the type of information agent's possess and some extensions such as criminals' skills advantage and different costs in gun carrying are studied. The results show that policies that increase gun availability make criminals always carry guns, even if they have a fighting advantage over the victims. The main conclusions are that gun control under complete information assumption leads to a decrease of gun crimes and that such policies are more effective to reduce crime when they affect both criminal's and victim's costs. Under incomplete information gun control generates multiple equilibria where criminals alternate between crimes with and without guns. In this case the effects of gun policy on crime depend on the share of population type.