Open AccessFinite size effect in EZ model
Author(s) -
Yi Xie,
Bing–Hong Wang,
Hong-Jun Quan,
Yang Wu,
Weining Wu
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.2399
Subject(s) - exponent , cluster size , physics , cluster (spacecraft) , statistical physics , power law , distribution (mathematics) , finite field , mathematics , combinatorics , statistics , mathematical analysis , quantum mechanics , computer science , philosophy , linguistics , electronic structure , programming language
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.