Optimal Redundancy Strategy of Defense Resource Allocation for Power Grid System Based on Game Theory Analysis

The power grid system, as one of the most critical infrastructures, is confronted with multifarious attack threats, which can result in severe damages and enormous property losses. Hence, it is important to adopt appropriate redundancy strategy of defense resources allocation in an effective measure to ensure the power grid system runs stably and reliably. For investigating the influence of different redundancy strategies and determining the optimal strategy, we propose a sequential game model, in which the homogenous formulation is introduced to describe the action and belief for both attacker and defender, and the redundancy constraints are considered in the optimal strategy and boundary conditions. Finally, we designate the redundancy condition as the variable to investigate optimal redundancy strategy for defender, and find that the defense rewards decrease at first and then increase gradually with the redundancy coefficient rising. Consequently, it is recommended that the operator of power grid system set a reasonable redundancy coefficient to allocate defense resources for acquiring the extra defense utility.