A facility for coordinating the safety care of a person is described. The facility receives sensor output indicating that the person has departed a place of repose. In response to this receiving, the facility establishes an alarm identifying the person, accesses a set of on-duty caregivers, and applies one or more precedence rules to establish a precedence among at least a portion of the set of on-duty caregivers. Until a caregiver has accepted the alarm, for each caregiver in the established precedence, the facility: causes a mobile device carried by the caregiver to render a message notifying the caregiver of the alarm and soliciting the caregiver's acceptance of the alarm; and allows the caregiver an interval of time of a first predetermined length in which to accept the alarm before proceeding to the next caregiver in the established precedence.