Freivalds's Investigation
The set of nontransitive dice were investigated by the Latvian computer scientist and mathematician Rusins Freivalds. He showed that if there is a set of n dice, and each die beats the next with probability p, then p can be arbitrarily close (but not equal) to 3/4 = 0.75 when n goes to infinity.
Read more about this topic: Nontransitive Dice