We observe that a quasi-periodic structure appears in the time sequence of population in the minority game when the amount of information to all agents is limited. The structure disappears when the amount of information is about the size the number of agents. The system then enters a phase with standard deviation smaller than that of a random process. We show that these phenomena are the consequences of using best strategies by agents. (c) 2005 Elsevier B.V. All rights reserved.
