EMERGENCE OF A PERIODIC PROFILE OF THE TIME SERIES OF POPULATION IN THE MINORITY GAME

Abstract

Based on the results of existing studies of the minority game, we further explored the periodic properties of the time series of population and discovered its exhibition of a separate three-bump distribution, in which an unusual periodic pattern is existent. By defining "the variance of scores" of all the strategies, we found a method to identify the distinctive features between periodic and non-periodic distributions. We also found there exists a critical point at which periodic behavior disappears when N goes from large to small.