  We analyze the dynamics of agent--based models (ABMs) from a Markovian
perspective and derive explicit statements about the possibility of linking a
microscopic agent model to the dynamical processes of macroscopic observables
that are useful for a precise understanding of the model dynamics. In this way
the dynamics of collective variables may be studied, and a description of macro
dynamics as emergent properties of micro dynamics, in particular during
transient times, is possible.
