Multichoice minority game: dynamics and global cooperation

In the original two-choice minority game (MG), selfish players cooperate with each other even though direct communication is not allowed. Moreover, there is a periodic dynamics in the MG whenever the strategy space size is much smaller than the number of strategies at play. Do these phenomena persist if every player has Nc>2 choices where all playerʹs strategies are picked from a reduced strategy space? We answer this question by studying a multichoice minority game model known as . Numerical simulation shows that these two models have very similar global cooperative behaviors. Nevertheless, unlike in the MG, periodic dynamics does not always appear in the even when the strategy space size is much smaller than the number of strategies at play.