Summary
We discuss a crowd-based theory for describing the collective dynamical behavior of a population of competitive agents in a model market setting. This Crowd-Anticrowd theory, which incorporates the strong correlations between agents' strategies, provides a quantitative description of the fluctuations in the excess demand of this model.
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References
See for example, T. Lux and M. Marchesi, Nature 397, 498 (1999).
B. Arthur, Amer. Econ. Rev. 84, 406 (1994); Science 284, 107 (1999).
J.L. Casti, Would-be Worlds (Wiley, New York, 1997).
N.F. Johnson, S. Jarvis, R. Jonson, P. Cheung, Y. Kwong and P.M. Hui, Physica A 258, 230 (1998).
D. Challet and Y.C. Zhang, Physica A 246, 407 (1997).
See http://www.unifr.ch/econophysics/minority and E. Moro e-print cond-mat/0402651 at xxx.lanl.gov for the full MG-related literature.
N.F. Johnson, P. Jefferies, P.M. Hui, Financial Market Complexity (Oxford University Press, 2003).
See N.F. Johnson and P.M. Hui, e-print cond-mat/0306516 at xxx.lanl.gov, for more details.
S. Gourley, S.C. Choe, P.M. Hui and N.F. Johnson, e-print cond-mat/0401526 at xxx.lanl.gov.
N.F. Johnson, P.M. Hui, Dafang Zheng, and M. Hart, J. Phys. A: Math. Gen. 32, L427 (1999).
A. Cavagna, J.P. Garrahan, I. Giardina and D. Sherrington, Phys. Rev. Lett. 83, 4429 (1999).
The Thermal Minority Game discussed in Ref. J.P. Garrahan, I. Giardina and D. Sherrington, Phys. Rev. Lett. 83, 4429 (1999). [11]} depends on a parameter T (or equivalently 1/β) called a ‘temperature'. We could similarly define T by setting the probability of playing the worst strategy θ = e −β/(e β + e −β). Hence T = 2[ln(θ−1 −I)]−1. T = 0 corresponds to θ = 0 while T → ∞ corresponds to θ → 1/2, hence we will only consider 0 ≤ θ ≤ 1/2.
M.L. Hart, P. Jefferies, N.F. Johnson and P.M. Hui, Phys. Rev. E 63, 017102 (2001).
P. Jefferies, M. Hart, N.F. Johnson, and P.M. Hui, J. Phys. A: Math. Gen. 33, L409 (2000).
P. Jefferies, M.L. Hart and N.F. Johnson, Phys. Rev. E 65, 016105 (2002).
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Johnson, N.F., Choe, S.C., Gourley, S., Jarrett, T., Hui, P.M. (2005). Crowd Effects in Competitive, Multi-Agent Populations and Networks. In: Lux, T., Samanidou, E., Reitz, S. (eds) Nonlinear Dynamics and Heterogeneous Interacting Agents. Lecture Notes in Economics and Mathematical Systems, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27296-8_5
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DOI: https://doi.org/10.1007/3-540-27296-8_5
Publisher Name: Springer, Berlin, Heidelberg
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