  We investigate the construction of improved actions by the Monte Carlo
Renormalization Group method in the context of SU(2) gauge theory utilizing
different decimation procedures and effective actions. We demonstrate that the
basic self-consistency requirement for correct application of MCRG, i.e. that
the decimated configurations are equilibrium configurations of the adopted form
of the effective action, can only be achieved by careful fine-tuning of the
choice of decimation prescription and/or action.
