Memory based Boolean game and self-organized phenomenon on networks

Details Memory based Boolean game and self-organized phenomenon on networks Memory based Boolean game and self-organized phenomenon on networks

2007-01-09

arxiv.org/abs/physics/0701102v2

Chin.Phys.Lett.23,3119(2006)

Physics

Physics and Society

10 pages, 3 figures

Scientific paper

We study a memory-based Boolean game (MBBG) taking place on the 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 among 0 and 1 is introduced to denote the strength of the agents' willing to make a decision according to its memory. We find that, given proper willing strength p, the MBBG system can spontaneously evolve to a state of better performance than the random game; while for larger p, the herd behavior emerges which reduces the system profit. By analyzing the dependence of the system's dynamics on the memory capacity M, we find that a higher memory capacity favors the emergence of the better performance state, and effectively restrains the herd behavior, therefore increases the system profit. Considering the high cost of long-time memory, the enhancement of memory capacity for restraining the herd behavior is also discussed, and the M=5 is suggested to be one good choice.

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