  We study a model of binary decisions in a fully connected network of
interacting agents. Individual decisions are determined by social influence,
coming from direct interactions with neighbours, and a group level pressure
that accounts for social environment. In a competitive environment, the
interplay of these two aspects results in the presence of a persistent
disordered phase where no majority is formed. We sow how the introduction of a
delay mechanism in the agent's detection of the global average choice may
drastically change this scenario, giving rise to a coordinated self sustained
periodic behaviour.
