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...

We consider an optimal commodity taxation problem under a consumption target and prove the existence of an optimal solution for the problem. This optimal solution obeys taxation rules that are contrary to standard taxation rules such as the inverse-elasticity rule. We also verify the necessary...

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...