This paper shall discuss the differences between libertarian neoclassical economists and liberal (Keynesian) neoclassical economists. Through the exploration of two discussion questions, the differences in these theories will be explored. First, this paper will explain why a libertarian neoclassical economist might favor reducing taxes on the richest income receivers, while a liberal (Keynesian) neoclassical economist would not. And, second, this paper will explain why a libertarian neoclassical economist might favor privatizing the social security system, while a liberal neoclassical economist might not.