Temporal oscillations and phase transitions in the evolutionary minority game

Details Temporal oscillations and phase transitions in the evolutionary minority game Temporal oscillations and phase transitions in the evolutionary minority game

2002-06-05

arxiv.org/abs/cond-mat/0206056v2

Phys. Rev. E {\bf 67}, 016109 (2003)

Physics

Condensed Matter

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.67.016109

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 {\it self-segregate} or to {\it cluster} according to the value of the prize-to-fine ratio, $R$. We show that such systems do {\it 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 which characterize the system explain the transition in the global behavior from self-segregation to clustering in the $R<1$ case.

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