The author establishes a property of supply for a competitive firm: Assuming differentiability of the production frontier, linearly independent price vectors have disjoint image sets under the supply mapping. This property supports the main results. First, the author drew a simple proof of McFadden's proposition that differentiability of the…

Principle of duality and numerical calculation of income and substitution effects under Hicksian Compensation are often left out of intermediate microeconomics courses because they require a rigorous calculus based analysis. But these topics are critically important for understanding consumer behavior. In this paper we use excel solver--a…

Presents a simple diagrammatic technique for conveying the idea of Ricardian equivalence or policy neutrality in the provision of public goods. Includes several diagrams illustrating basic positions regarding the relationship between voluntary public contributions and taxation. Provides a brief explanation of the illustrated concepts. (MJP)