Abstract: In the case of a switch arrangement for reducing the closed circuit current when motor vehicles are parked, including a controllable switch for the central disconnecting essentially of all power supply consuming devices from the motor vehicle battery, the electric supply input of an electric anti-theft device is inseparably connected with the motor vehicle battery. The electric anti-theft device receives an input signal corresponding to the position of the controllable switch and queries the position of a manually operable switch for sensitizing and desensitizing the anti-theft device less often when the controllable switch is open than when the controllable switch is closed.