optimal location of passive defense facilities through game theory

in this article, a game in which terrorists and the state government are the players is considered. on the one hand, terrorists try to attack major cities and impose damages (loss in the state’s point of view), on the other hand, the state tries to reduce damages through establishing the optimal number of facilities that are also optimally located. furthermore, allocating of fixed facilities in order to decrease the destructions caused by terrorist attacks is studied. simultaneous attacks to a number of cities are also examined. to achieve the optimal number of facilities, prediction cost and budget are considered to be the constraints. finally, according to the police of iran, an example is designed and solved using the model.