1 Consider a world W where there are many xs (such that x ∈ X). In this experiment, we define the winner of the game as having the maximum M value (think of it to stand for "money", perhaps), i.e. more formally, x(i) is the winner at some time t if max(M(x0,t), M(x1,t), M(x2,t), ... ,M(xi,t), ...) == M(x(i),t).