Multi-Choice Minority Game

Details Multi-Choice Minority Game Multi-Choice Minority Game

2000-05-12

arxiv.org/abs/cond-mat/0005216v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2 figures, reorganized and clarified

Scientific paper

10.1103/PhysRevE.63.066103

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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