We present results from a computational study of a class of 2D two-tem
perature non-equilibrium Ising models. In these systems the dynamics i
s a local competition of two equilibrium dynamics at different tempera
tures. We analyzed non-equilibrium versions of Metropolis, heat bath/G
lauber and Swendsen-Wang dynamics and found strong evidence that some
of these dynamics have the same critical exponents and belong to the s
ame universality class as the equilibrium 2D Ising model.