If the result is a tie, then all characters involved are discarded, and finally, if the attacking character beats or ties two or more defending characters, the player who controls him may chose how the damage is distributed. Any unblocked attacking creatures force the defending player to discard a number of cards off the top of his deck equal to the total power of unblocked attacking creatures. If all that seems a little complex, don't worry, there is a better description of the rules that comes in the starter deck. The characters in C-23 have special abilities which make them different from other characters. There are six main special abilities which include mobility, vitality, blocker, unique, and gung-ho, and many other ones that are as stated on the card.
Mobility means that the character can only be blocked by other characters with mobility.
Next is vitality. This means that if the character is discarded, he returns to your hand instead of going to your discard pile. After that there is blocker. If this is on the card, it means that the character may only be used as a blocker, and can not attack. If a card is unique, then each player may only control one of that character at a time.