Multiple choice minority game with different publicly known histories

Abstract

In the standard minority game (MG), players use historical minority choices as the sole public information to pick one out of the two alternatives. However, publishing historical minority choices is not the only way to present global system information to players when more than two alternatives are available. Thus, it is instructive to study the dynamics and co-operative behaviours of this extended game as a function of the global information provided. We numerically find that, although the system dynamics depend on the kind of public information given to the players, the degree of co-operation follows the same trend as that of the standard MG. We also explain most of our findings by the crowd-anticrowd theory. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.