The iceformation method is a new technique for designing minimum energy dissipation surfaces. A theoretical model, based on Couette flow, portrayed local interface variation and design evolution [1]. Two design degrees of freedom are controlled by flow and thermal parameters. Two parameters are selected to provide closure; the theory has 10 parameters and 8 equations. However, certain parameter selections leave the problem underdeterminant. This document addresses the selection problem and presents different selection game strategies to determine a priori selection failures and appropriate solution algorithms. The selection game theory is useful for higher design degrees of freedom.