Multi-Choices Minority Game
Liat Ein‐Dor, Richard E. L. Metzler, Ido Kanter, Wolfgang Kinzel · arXiv (Cornell University) · 2000
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.