Answer:
in the end, Edmund realizes the extent to which he has misjudged the white witch, and rejoins his brother and sisters. he apologises and recives their forgiveness, but since he betrayed the white witch, she still has a right to kill him. Aslan promises the white witch that he will die in Edmund's place; in the end, it is unclear whether or not Edmund ever knows the full extent of Aslan's loyalty. Edmund proves his valor by destroying the witch's wand. he is injured in the fray, but when he recovers Aslan makes him a knight.
when Edmund becomes king, he is lauded for his counsel and judgment. and is known as "Edmund the Just."