  We present Monte Carlo simulations of a three-state lattice gas, half-filled
with two types of particles which attract one another, irrespective of their
identities. A bias drives the two particle species in opposite directions,
establishing and maintaining a non-equilibrium steady state. We map out the
phase diagram at fixed bias, as a function of temperature and fraction of the
second species. As the temperature is lowered, a continuous transition occurs,
from a disordered homogeneous into two distinct strip-like ordered phases.
Which of the latter is selected depends on the admixture of the second species.
A first order line separates the two ordered states at lower temperatures,
emerging from the continuous line at a non-equilibrium bicritical point. For
intermediate fraction of the second species, all three phases can be observed.
