  The process of equilibration in phi^4 theory is investigated for a
homogeneous system in 3+1 dimensions and a variety of out-of-equilibrium
initial conditions, both in the symmetric and broken phase, by means of the 2PI
effective action. Two Phi-derivable approximations including scattering effects
are used: the two-loop and the ``basketball'', the latter corresponding to the
truncation of the 2PI effective action at O(lambda^2). The approach to
equilibrium, as well as the kinetic and chemical equilibration is investigated.
