  The influence of a fixed number of agents with the same fixed behavior on the
dynamics of the minority game is studied. Alternatively, the system studied can
be considered the minority game with a change in the comfort threshold away
from half filling. Agents in the frustrated, non ergodic phase tend to
overreact to the information provided by the fixed agents, leading not only to
large fluctuations, but to deviations of the average occupancies from their
optimal values. Agents which discount their impact on the market, or which use
individual strategies reach equilibrium states, which, unlike in the absence of
the external information provided by the fixed agents, do not give the highest
payoff to the collective.
