  We show analytically how the fluctuations (i.e. standard deviation) in the
Minority Game (MG) can decrease below the random coin-toss limit if the agents
use more general, stochastic strategies. This suppression of the standard
deviation results from a cancellation between the actions of a crowd, in which
agents act collectively and make the same decision, and an anticrowd in which
agents act collectively by making the opposite decision to the crowd.
