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Chin. Phys. B, 2009, Vol. 18(4): 01700    DOI: 10.1088/1674-1056/18/4/070

Evolution analysis of the states of the EZ model

Dong Hong-Guanga, Chen Qing-Huab, Ding Yi-Mingc
a Beijing Higher Education Press, Chaoyang District, Beijing 100029, China; b Department of Systems Science, School of Management, Beijing Normal University, Beijing 100875, China; c Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, China
Abstract  Based on suitable choice of states, this paper studies the stability of the equilibrium state of the EZ model by regarding the evolution of the EZ model as a Markov chain and by showing that the Markov chain is ergodic. The Markov analysis is applied to the EZ model with small number of agents, the exact equilibrium state for N = 5 and numerical results for N=18 are obtained.
Keywords:  equilibrium state      EZ model      Markov chain      stationary distribution  
Received:  12 June 2008      Revised:  07 July 2008      Published:  20 April 2009
PACS:  02.50.Ga (Markov processes)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  05.10.Gg (Stochastic analysis methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 60534080, 60774085, and 70771012).

Cite this article: 

Chen Qing-Hua, Ding Yi-Ming, Dong Hong-Guang Evolution analysis of the states of the EZ model 2009 Chin. Phys. B 18 01700

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