I did a small bit of reading on this subject, and I find it interesting that "jousting duels" were not strictly jousting. They generally included three separate feats of arms. The wikipedia article on jousting quotes one story written in 1390 which describes the duel as "...to tilt three courses with the lance, to give three blows with the battle axe, and three strokes with the dagger..."
Horses in jousting wore head armor called a "champron" or "chamfron".
And, quite interestingly, in one form of jousting the participants tried to knock feathered crests off of each others helmets! 
Aiming for the head...? That's pretty badass. Something I'd imagine from a Jackass movie, though, to think of it.
