Multichoice minority game.
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 a type of K-state 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.
Ein-Dor
L
L
Department of Physics, Bar-Ilan University, Ramat Gan, 52900 Israel.
Metzler
R
R
Kanter
I
I
Kinzel
W
W