A multi-user multi-device system enables a plurality of users to control a single screen. Each user has one or more input devices, which can be used to control one or more stored applications. At any time, the system produces a consistent view of all applications on the single screen. The input from each user produces a response customized to the preferences of that user. Each user can inform the system of which devices that user is using. Inputs to the system initiate the building of Event Records that are queued and then directed to specific applications. The screen is updated, and the coordinates of child applications are determined, only during pauses in the operations of all applications.