Continuous Patrolling Sometimes it is necessary to have a Patroller (on foot, in a car, or maybe a drone) move around a network so as to prevent an intruder (the Attacker) from infiltrating or otherwise ruining the network operation. The “attack” could be, for example, removing a painting from the Louvre, crossing a border, or planting a bomb. The first possibility could take place at only a discrete set of points on the network, say, nodes. However, the last two types of attack could take place anywhere. The latter continuous problem has been modelled as a game by Steve Alpern, Thuy Bui, Thomas Lidbetter, and Katerina Papadaki in the article “Continuous Patrolling Games.” The Attacker decides when and where to attack (the duration of the attack is specified by the problem), whereas the Patroller chooses a unit speed path, possibly periodic. If the Patroller passes the attacked point while the attack is going on, he wins the game, as the attack is thwarted. Otherwise the attack is successful, and the Attacker wins the game. The authors determine optimal strategies for both players for many classes of networks and find good strategies that work on any network. These ideas could be adapted to real-life patrolling problems on networks.