I'm using a rather clumsy assumption.

Suppose A didn't win the prize and E D won the prize. The introduction of A, B and C is wrong, which contradicts two people, so A must win the prize.

Suppose B didn't win the prize and A Ding Bing won the prize, then A and B are right and C Ding is wrong, then B may not win the prize;

Suppose C didn't win the prize and A, B and D won the prize, then A, C and D are right, B is wrong, which contradicts the topic, and C will definitely win the prize;

Suppose Ding doesn't win the prize, then A and C are wrong and B is right, then Ding may not win the prize.

On the whole, it is impossible for B and D to win the prize at the same time.