2002/10/28 by F. K. Chow, Chow, F. K., H. F. Chau +1
Medicine · Physics and Astronomy · Social Sciences · #Evolutionary Game Theory and Cooperation #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0210608
revtex4, 19 pages with 12 figures; extensively rewritten, more justification added
openalex publication_date 2002/10/28 · arxiv created 2003/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 player's strategies are picked from a reduced strategy space? We answer this question by studying a multichoice minority game model known as MG(Nc,|\mathbb S|). 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 MG(Nc,|\mathbb S|) even when the strategy space size is much smaller than the number of strategies at play.