Tiger and Sheep

Puzzle Question:

In a magical island, there are 100 tigers and 1 sheep. As it is a

magical island if tiger eats the sheep, then that tiger becomes

sheep itself and hence it would be eaten up by another tiger.

Tigers don’t mind being a sheep but they don’t want to be eaten

up by another tiger. All tigers are intelligent and they want to

survive, but don’t care of survival of others.

Will the sheep survive or will it be eaten up?