中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1700-1706.doi: 10.1088/1674-1056/18/4/070

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Evolution analysis of the states of the EZ model

董洪光1, 陈清华2, 丁义明3   

  1. (1)Beijing Higher Education Press, Chaoyang District, Beijing 100029, China; (2)Department of Systems Science, School of Management, Beijing Normal University, Beijing 100875, China; (3)Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, China
  • 收稿日期:2008-06-12 修回日期:2008-07-07 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534080, 60774085, and 70771012).

Evolution analysis of the states of the EZ model

Chen Qing-Hua(陈清华)a)†, Ding Yi-Ming(丁义明)b), and Dong Hong-Guang(董洪光)c)   

  1. a Department of Systems Science, School of Management, Beijing Normal University, Beijing 100875, China; b Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, China; c Beijing Higher Education Press, Chaoyang District, Beijing 100029, China
  • Received:2008-06-12 Revised:2008-07-07 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534080, 60774085, and 70771012).

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摘要： 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.

关键词: EZ model, Markov chain, stationary distribution, equilibrium state

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.

Key words: EZ model, Markov chain, stationary distribution, equilibrium state

中图分类号:  (Markov processes)

  • 02.50.Ga
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.10.Gg (Stochastic analysis methods)