1. A method of controlling which electronic device out of 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 according to a user preference indicating a primary device designation for the interconnected electronic devices or recorded activity detected by one or more hardware sensors of the electronic device.