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物理学报. 2003, 52(10): 2399-2403.
doi: 10.7498/aps.52.2399.
EZ模型中的有限尺寸效应
- 收稿日期: 2002-08-13
- 修回日期: 2003-01-27
- 刊出日期: 2003-05-05
English Abstract
Finite size effect in EZ model
- Received Date:
13 August 2002
- Accepted Date:
27 January 2003
- Published Online:
05 May 2003
Abstract: 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 :a1/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 c an still satisfy a power law. However, the exponent will change due to the fluct uation effect. For a1/N, it can be proved that the fluctuation effect is not i mportant, hence the mean field theory is correct.
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Keywords:
- EZ model /
- finite size effect /
- fluctuation /
- mean field theory
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