Patrolling a perimeter

► We study the problem of patrolling the perimeter of a protected zone. ► An intruder has to carry out a sabotage on the perimeter. ► The situation is modeled as a two-person zero-sum game developed on a cyclic set. ► We solve the game in closed form under certain constraints. ► Bounds for the value of the game are obtained in other non-solved cases.