The Alchian-Allen substitution theorem states that an increase of the prices of two similar goods by the same amount leads to a relative increase in the compensated demand of the more expensive good. In this paper we generalize this theorem to ordinary demand functions and show under which...

The Alchian-Allen substitution theorem states that an increase of the prices of two similar goods by the same amount leads to a relative increase in the compensated demand of the more expensive good. In this paper we generalize this theorem to ordinary demand functions and show under which...

We explore effects of simultaneous price changes for the demand of a group of goods, which we refer to as a compound commodity. Specifically, we consider unit and proportional cost components (e. g., taxes, transportation costs, etc.) imposed on the compound commodity. We find that there is a...

We consider a government facing a constraint on the total consumption of a specific good with varieties, and formulate an optimal commodity tax problem under a consumption target. We obtain a uniform pricing result (similar to the familiar uniform taxation rule): setting the same consumer price...