Temporal oscillations and phase transitions in the evolutionary minority game

The study of societies of adaptive agents seeking minority status is an active area of research. Recently, it has been demonstrated that such systems display an intriguing phase transition: agents tend to self-segregate or to cluster according to the value of the prize-to-fine ratio R. We show that such systems do not establish a true stationary distribution. The winning probabilities of the agents display temporal oscillations. The amplitude and frequency of the oscillations depend on the value of R. The temporal oscillations that characterize the system explain the transition in the global behavior from self-segregation to clustering in the R<1 case.