Or do I mean ghostly? The alphabetic order thing might be a bit difficult to organise. I reckon we just supply them at random with the 3-sentence restriction pen suggests and perhaps additionally each profiler may profile each profilee once only. (But you can profile as many players as you like). Waddayareckon?
[pen] I think you're alright on the "profiling"; it may be new to you, but it's a verb which has been in use in computing since before I was programming for money.