$\textbf{Tiger and Sheep}$

One hundred tigers and one sheep are put on a magic island where there is only grass. Tigers on this magic land can eat grass, but they would rather eat the sheep. However, upon having eaten the sheep, the tiger will become a sheep itself. If only one tiger can eat the sheep at any moment, what will happen? The assumption is that all the tigers are intelligent enough to secure their survival first and, if possible, eat the sheep.