Opinion evolution based on cellular automata rules in small world networks

doi:10.1088/1674-1056/19/3/038701

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 38701-038701.doi: 10.1088/1674-1056/19/3/038701

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Opinion evolution based on cellular automata rules in small world networks

施伦¹, 石晓明², 张解放²

(1)Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China; (2)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2009-03-27 修回日期:2009-08-23 出版日期:2010-03-15 发布日期:2010-03-15

Opinion evolution based on cellular automata rules in small world networks

Shi Xiao-Ming(石晓明)^a), Shi Lun(施伦)^b), and Zhang Jie-Fang(张解放)^a)^†

^a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; ^b Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received:2009-03-27 Revised:2009-08-23 Online:2010-03-15 Published:2010-03-15

摘要/Abstract

摘要： In this paper, we apply cellular automata rules, which can be given by a truth table, to human memory. We design each memory as a tracking survey mode that keeps the most recent three opinions. Each cellular automata rule, as a personal mechanism, gives the final ruling in one time period based on the data stored in one's memory. The key focus of the paper is to research the evolution of people's attitudes to the same question. Based on a great deal of empirical observations from computer simulations, all the rules can be classified into 20 groups. We highlight the fact that the phenomenon shown by some rules belonging to the same group will be altered within several steps by other rules in different groups. It is truly amazing that, compared with the last hundreds of presidential voting in America, the eras of important events in America's history coincide with the simulation results obtained by our model.

Abstract: In this paper, we apply cellular automata rules, which can be given by a truth table, to human memory. We design each memory as a tracking survey mode that keeps the most recent three opinions. Each cellular automata rule, as a personal mechanism, gives the final ruling in one time period based on the data stored in one's memory. The key focus of the paper is to research the evolution of people's attitudes to the same question. Based on a great deal of empirical observations from computer simulations, all the rules can be classified into 20 groups. We highlight the fact that the phenomenon shown by some rules belonging to the same group will be altered within several steps by other rules in different groups. It is truly amazing that, compared with the last hundreds of presidential voting in America, the eras of important events in America's history coincide with the simulation results obtained by our model.

Key words: cellular automata rules, truth table, memory, simulation

中图分类号: (Neural networks and synaptic communication)

87.18.Sn

87.10.-e (General theory and mathematical aspects)

石晓明, 施伦, 张解放. Opinion evolution based on cellular automata rules in small world networks[J]. 中国物理B, 2010, 19(3): 38701-038701.

Shi Xiao-Ming(石晓明), Shi Lun(施伦), and Zhang Jie-Fang(张解放). Opinion evolution based on cellular automata rules in small world networks[J]. Chin. Phys. B, 2010, 19(3): 38701-038701.

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Opinion evolution based on cellular automata rules in small world networks

Opinion evolution based on cellular automata rules in small world networks

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