HAMMING DISTANCE AND HISTORY DISTRIBUTION IN THE MINORITY GAME

We investigate the Minority Game, a toy model for agents buying and selling a commodity. The dynamics of the model are decomposed into two processes, firstly, an agent's choice of active strategy, secondly, the interaction between agents while they play. The latter is suitably described by the Hamming distance between strategies. Here, we argue that the first process is described by the history distribution.