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Multi-Choice Minority Game

Liat Ein-Dor·Richard Metzler·Ido Kanter·Wolfgang Kinzel
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Abstract

The generalization of the problem of adaptive competition, known as the minority game, to the case of $K$ possible choices for each player is addressed, and applied to a system of interacting perceptrons with input and output units of the type of $K$-states Potts-spins. An optimal solution of this minority game as well as the dynamic evolution of the adaptive strategies of the players are solved analytically for a general $K$ and compared with numerical simulations.

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Liat Ein-Dor, Richard Metzler, Ido Kanter, Wolfgang Kinzel. 2000-10-05. Multi-Choice Minority Game. https://doi.org/10.1103/physreve.63.066103

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