Modeling bluffing behavior in signaling security games

In some security domains, the defender holds more private information than the attacker, such as the authenticity of resources. A mock camera can be adopted by the defender to deter potential attackers while the attacker may see it as a real one. This provides an opportunity for a defender with fake resources to bluff, as if all resources she owns are real. We model the bluffing behavior as a signaling game where the attacker is uncertain whether the defender is strong (all resources are real) or weak (fake resources disguised as real resources). We propose a mixed integer cubic programming formulation to solve for the solution concept based on perfect Bayesian equilibrium. We compare our bluffing security game model with a model without signaling. The experiments indicate that our model outperforms the no-signaling model in terms of the defender's utility.