In the literature, self-organizing physical and chemical systems have been proposed as candidates for physical intelligent systems that may solve problems in the field of artificial intelligent in a non-algorithmic way that is not based on computation. In this theoretical study, decision-making in such physical intelligent systems is discussed in terms of non-equilibrium transitions between two self-organized states. The control parameter driving the non-equilibrium transitions is related to two growth rate factors. It is shown for a particular non-equilibrium system that the decision-making process satisfies the principle of selecting the state with the fastest growth rate factor. The system under consideration is a two component gas discharge system whose current flows can be described by means of an electronic blueprint.