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Memory-Based Boolean Game and Self-Organized Phenomena on Networks
作者姓名:黄子罡  吴枝喜  关剑月  汪映海
作者单位:Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
基金项目:Supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University under Grant No Lzu05008.
摘    要:We study a memory-based Boolean game (MBBG) taking place on a regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free parameter p between 0 and 1 is introduced to denote the strength of the agent willing to make a decision according to its memory. It is found that giving proper willing strength p, the MBBG system can spontaneously evolve to a state of performance better than the random game; while for larger p, the herd behaviour emerges to reduce the system profit. By analysing the dependence of dynamics of the system on the memory capacity M, we find that a higher memory capacity favours the emergence of the better performance state, and effectively restrains the herd behaviour, thus increases the system profit. Considering the high cost of long-time memory, the enhancement of memory capacity for restraining the herd behaviour is also discussed, and M =5 is suggested to be a good choice.

关 键 词:布尔博弈  自组织现象  网络  非线性物理  理论物理
收稿时间:2006-06-29
修稿时间:2006-06-29

Memory-Based Boolean Game and Self-Organized Phenomena on Networks
HUANG Zi-Gang, WU Zhi-Xi, GUAN Jian-Yue , WANG Ying-Hai.Memory-Based Boolean Game and Self-Organized Phenomena on Networks[J].Chinese Physics Letters,2006,23(11):3119-3122.
Authors:HUANG Zi-Gang  WU Zhi-Xi  GUAN Jian-Yue  WANG Ying-Hai
Institution:Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
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