Statistical analysis of the evolutionary minority game with different capacities

In this paper we consider the evolutionary minority game with different capacities. With the increase of capacity level ρ1, the probability γn of room1 with n agents changes from one normal distribution to two normal distributions and back to one normal distribution again. When room2 is the basic strategy, the probability of room1 with n agents is a small normal distribution. And when room1 is the basic strategy the probability of room1 with n agents is a large normal distribution. We calculate the integral of the normal distributions and explain the characters in the figures. For instance, the room with more capacity represents the interest of the majority and the room has more probability to win.