Multiple market failures along with policies at federal and state levels make it difficult to predict the net systems and emissions cost impact, in both the short- and long-run, of corporate and government green power procurement strategies. I define a suite of research questions that need to be addressed to understand whether such strategies are efficient means to reduce emissions, ineffectual, or even counter productive. Market models are proposed, based on equilibrium and Stackelberg formulations based on optimization and complementarity methods, to address those questions.