1. A method of controlling which electronic device out of a topology of interconnected electronic devices responds to a wake phrase, the method comprising: in an electronic device of the topology of interconnected electronic devices configured to listen for voice commands, receiving a wake phrase from a microphone of the electronic device; recognizing the wake phrase; and responsive to recognizing the wake phrase, waking the electronic device and controlling which one electronic device out of the topology of interconnected electronic devices plays an audio prompt that indicates an active listening state in response to the wake phrase, wherein the controlling invokes response arbitration rules selecting a single electronic device out of the topology of interconnected electronic devices as a primary device, wherein selection of the primary device is based on a determination that the single electronic device has been used most recently, of the interconnected electronic devices, prior to the wake phrase being received from the microphone, wherein the determination is based on recorded activity indicating physical activity near or at the electronic device.