Quote Originally Posted by KrayZ33
he had no chance to win this from the very beginning
I believe he did think he would have a chance. To be precise, he thought Mikoto would give up at some point and that would be his victory (I doubt Touma really is that keen on beating somebody for no concrete reason). But of course she wouldn't. She has worked too hard to become level 5 and a tsundere can't give up like that in front of her love interest.

It would have actually been nice to see an alternative scene in which Touma had just patted her head telling everything's alright...