You have to say that after going to the battle arena both of them did not start fighting because at this time the person who challenged Allen was also waiting for his friends to come to the battle arena.
Allen also predicted that so he also did not start fighting. He could guess that most likely this person wanted to humiliate him in front of everyone. Because of this, he was waiting for those people to come to the battle arena.
'Forget about that. But who could have thought that the battle arena would be this much bigger? Sigh, I didn't even get to know about this even though it was this close to the playground.'
Actually, this was Allen's first time coming to the battle arena. As you know that previously he was only busy with his training and other than that Dungeon adventure, so naturally he did not get the time to come to the battle arena of The White Tiger Academy.