No, there isn't really any competition at all. I've gotten a couple of my friends a little hyped after watching me do a bunch of flashy combos, but that doesn't really count. Only one of my friends has actually started to put in some effort and I'm gonna be teaching them small stuff every week. Arcade CS has a "sparring mode" option where you select your opponent, select their difficulty (beginner through hell) and you get a time limit to play against them. AFAIK, no easy mode though..
WHYYYYY????