Emergence of grouping in multi-resource minority game dynamics.
Complex systems arising in a modern society typically have many resources and strategies available for their dynamical evolutions. To explore quantitatively the behaviors of such systems, we propose a class of models to investigate Minority Game (MG) dynamics with multiple strategies. In particular, agents tend to choose the least used strategies based on available local information. A striking finding is the emergence of grouping states defined in terms of distinct strategies. We develop an analytic theory based on the mean-field framework to understand the "bifurcations" of the grouping states. The grouping phenomenon has also been identified in the Shanghai Stock-Market system, and we discuss its prevalence in other real-world systems. Our work demonstrates that complex systems obeying the MG rules can spontaneously self-organize themselves into certain divided states, and our model represents a basic and general mathematical framework to address this kind of phenomena in social, economical and political systems.
Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu, China.
Zi-Gang
ZG
Huang
Ji-Qiang
JQ
Zhang
Jia-Qi
JQ
Dong
Liang
L
Huang
Ying-Cheng
YC
Lai
D003163:Competitive Behavior; D003299:Cooperative Behavior; D005716:Game Theory; D006126:Group Processes; D006801:Humans; D007398:Interpersonal Relations; D008913:Minority Groups / Q000523:psychology*; D008954:Models, Biological; D008960:Models, Psychological