Abstract
We study the population distribution in the no-memory minority game. We analyze the population distribution from the kinematics angle, and find that the population distribution is relatedto the spring oscillator system to some extent. In the game, the agents change their gene values frequently, and the probability to change the gene value corresponds to the velocity of the oscillator in the spring oscillator system.
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References
D. Challet, Y.-C. Zhang, Physica A 246, 407 (1997).
D. Challet, Y.-C. Zhang, Physica A 256, 514 (1998).
D. Challet, M. Marsili, Phys. Rev. E 60, R6271 (1999).
S. Hod, E. Nakar, Phys. Rev. Lett. 88, 238702 (2002).
Shahar Hod, Phys. Rev. Lett. 90, 128701 (2003).
N.F. Johnson, P.M. Hui, R. Jonson, T.S. Lo, Phys. Rev. Lett. 82, 3360 (1999).
T.S. Lo, P.M. Hui, N.F. Johnson, Phys. Rev. E 62, 4393 (2000).
T.S. Lo, S.W. Lim, P.M. Hui, N.F. Johnson, Physica A 287, 313 (2000).
S. Hod, E. Nakar, Phys. Rev. E 67, 016109 (2003).
K. Chen, B. Wang, B. Yuan, Phys. Rev. E 69, 025102 (2004).
Antonio F. Crepaldi, Camilo Rodrigues Neto, Fernando F. Ferreira, Gerson Francisco, Chaos Solitons Fractals 42, 1364 (2009).
Andrea Cavagna, Phys. Rev. E 59, R3783 (1999).
E. Burgos, Horacio Ceva, Physica A 284, 489 (2000).
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Zhang, YX., Liu, XM. & Xie, HZ. The theoretic analysis of the movement characters in the no-memory minority game. Eur. Phys. J. Plus 128, 23 (2013). https://doi.org/10.1140/epjp/i2013-13023-3
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DOI: https://doi.org/10.1140/epjp/i2013-13023-3