Economists who estimate demand or supply systems are often faced with the issue of whether to estimate with shares or quantities as the dependent variables. This paper reviews the implications of making the wrong choice in the context of normalized profit functions of competitive behavior. The...

The Hamilton method for estimating CPI bias is simple, intuitive, and has been widely adopted. We show that the method conflates CPI bias with variation in cost-of-living across income levels. Assuming a single price index across the income distribution is inconsistent with the downward sloping...

The Hamilton method for estimating CPI bias is simple, intuitive, and has been widely adopted. We show that the method confiates CPI bias with variation in cost-of-living across income levels. Assuming a single price index across the income distribution is inconsistent with the downward sloping...

Diminishing marginal utility is neither necessary nor sufficient for downward sloping demand, and it is not necessary for convex indifference curves. We illustrate these facts with two simple counter examples, using valid and easy to understand utility functions. The examples are accompanied...