Abstract There is a very simple game, called Minority Game(MG), in which one decides entering room A or room B according to one’s strategy and memory the room with small occupation number wins. We find there are three kinds of phases different from one another [1]. We give an analytical explanation and build a modified MG , which is simpler and easier understanding the behavior of the standard (original) MG. [1] Robert Savit, Radu Manuca, and Rick Riolo, Phys.Rev.Letters.82, 2203 (1999)
