Although they seemed friendly with each other, anyone could sense a hostile and strange pressure girding between the contestants.
This match was crucial for Caspian, as it would determine how he should finish Matt off.
Since he failed last time, he does not feel at ease because he senses that his moves might have been discovered. That is why he is trying to find a way to finish Matt off once and for all.
He won't do it in this fight because he knows the directors will kill him, but at least he will try to create an opportunity to use later.
Also, he needs to research Matt's fighting style.
Those were the thoughts Caspian had, so he would take this fight seriously.
While for Matt...
'Heh, you little bastard. You think you're such a big deal, and you think our forces are evenly matched as they were a while back. That being the case, let me prove to you that our capabilities will never be matched again.' Matt thought, smiling.