机构地区: 中国科学技术大学物理学院近代物理系
出 处: 《物理学报》 2003年第10期2399-2403,共5页
摘 要: 研究EZ模型中的有限尺寸效应 .当经纪人数目N足够大及发生交易的概率a 1 N ,发现有限尺寸效应是重要的 .此时 ,系统几乎变成包含所有经纪人的单一集团 .而对较小集团 ,尺寸分布仍然服从幂函数律 ,但是指数因涨落效应而改变 .但当a 1 N时 ,可以论证涨落效应不重要 。 The finite size effect in the Eguiluz-Zimmermann (EZ) model is studied. It is found that the finite size effect is very important if the number of the agents N is large enough and the probability of trading among the agents is small enough: a much less than 1/N. In this case, the model becomes almost a big single cluster system that includes almost all the agents. For the small clusters, the size distribution can still satisfy a power law. However, the exponent will change due to the fluctuation effect. For a much greater than 1/N, it can be proved that the fluctuation effect is not important, hence the mean field theory is correct.