Well, I'm seriously at a loss here. The only reason I can think of that they wouldn't want you having a desk in your room is because they don't want you to think that because they gave in that little bit they'll give in all the way for a computer. I mean, seriously, it's a desk. Tell them you want to be able to do your homework in your room, or something. You're 16 (probably, says that in your profile), if I were you I'd go buy a desk and drag it into my room and tell my parents to gtfo if they bugged me about it.