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Temporal oscillations and phase transitions in the evolutionary minority game

Ehud Nakar·Shahar Hod
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Abstract

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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Ehud Nakar, Shahar Hod. 2003-02-04. Temporal oscillations and phase transitions in the evolutionary minority game. https://doi.org/10.1103/physreve.67.016109

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