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On the Minority Game : Analytical and Numerical Studies

Damien Challet·Yi-Cheng Zhang
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Abstract

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of $σ^2/N$ in the $N\ll2^M$ region. The ability of the players to learn a given payoff is also analyzed, and we show that the Darwinian evolution process tends to a self-organized state, in particular, the life-time distribution is a power-law with exponent -2. Furthermore, we study the influence of identical players on their gain and on the system's performance. Finally, we show that large brains always take advantage of small brains.

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Damien Challet, Yi-Cheng Zhang. 1998-05-08. On the Minority Game : Analytical and Numerical Studies. https://doi.org/10.1016/s0378-4371(98)00260-x

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