Stylized facts in minority games with memory: a new challenge

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 6 figures, contribution to the proceedings of Frontier Science 2003, Pavia (Italy)

Scientific paper

10.1016/j.physa.2004.02.036

A finite memory is introduced in the score dynamics of Minority Games. As
expected, this removes the dependence of the stationary state on the initial
conditions. However, it also causes an unexpected increase of fluctuations in
grand-canonical models for very large times. Current analytical methods are
inadequate to solve this simple and natural extension.

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