Nonlocality and True Randomness

We have seen that it is easy to obtain a score of 3 in Bell’s game. For example, we need only agree beforehand to produce the same result each time. But we have also seen that it is impossible to specify any local strategy that could be applied independently by Alice and Bob and that would allow them to win more often than 3 times out of 4. But if two players were to win Bell’s game more often than 3 times out of 4, what must we conclude in this case?