Finite size effect in EZ model | Zendy

Yanbo Xie | Zendy; Bing-Hong Wang | Zendy; Quan Hong-Jun | Zendy; Yang Wei-Song | Zendy; Wang Wei-Ning | Zendy

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Finite size effect in EZ model

Author(s) -

Yanbo Xie,

Bing-Hong Wang,

Quan Hong-Jun,

Yang Wei-Song,

Wang Wei-Ning

Publication year - 2003

Publication title -

acta physica sinica

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.

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