A New Stochastic Strategy for the Minority Game

Details A New Stochastic Strategy for the Minority Game A New Stochastic Strategy for the Minority Game

2000-07-24

arxiv.org/abs/cond-mat/0007351v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1016/S0378-4371(01)00303-X

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 $\sigma^2$ is of the order of 1 and does not increase with $N$ as for other known strategies.

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