  We investigate the magnetic instabilities of the two-dimensional model of
interacting e_g electrons for hole doping away from two electrons per site in
the mean-field approximation. In particular, we address the occurrence of
orbitally polarized states due to the inequivalent orbitals, and their
interplay with ferromagnetic and antiferromagnetic spin order. The role played
by the Hund's exchange coupling J_H and by the crystal field orbital splitting
E_z in stabilizing one of the competing phases is discussed in detail.
