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A New Stochastic Strategy for the Minority Game

G. Reents·R. Metzler·W. Kinzel
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Abstract

We present a variant of the Minority Game in which players who where successful in the previous timestep stay with their decision, while the losers change their decision with a probability $p$. Analytical results for different regimes of $p$ and the number of players $N$ are given and connections to existing models are discussed. It is shown that for $p \propto 1/N$ the average loss $σ^2$ is of the order of 1 and does not increase with $N$ as for other known strategies.

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G. Reents, R. Metzler, W. Kinzel. 2000-07-24. A New Stochastic Strategy for the Minority Game. https://doi.org/10.1016/s0378-4371(01)00303-x

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