A method for generating a plurality of moving objects on a video display screen in, for example, a video amusement game which utilizes a system of time shared hardware to provide for a change in position of the moving objects on the video screen. The method includes an object storage memory which may be updated during each vertical retrace interval and is scanned during each horizontal retrace interval to provide information for a horizontal memory which generates the next horizontal video display line. The horizontal memory contains an object identification code in the proper horizontal location and the actual video image is generated by an associated graphics generator and picture memory which respond to the object code.