Differences in the

income elasticity of demand for the products that serve the different needs should express this differential satiation effect.

This article serves as a cautionary warning to researchers (including this author) who empirically estimate aggregate lottery-demand functions, as it raises questions about the interpretation of previous results and conclusions regarding the distributional burden of lottery-ticket expenditures (i.e.,

income elasticity of demand), the substitutability or complementarity of lottery games, and the welfare implications of statelottery financed public expenditures.

The estimated

income elasticity of demand is elastic.

The standard

income elasticity of demand is given by:

And because by definition the

income elasticity of demand for a good is the ratio of the percent change in the amount demanded to the percent change in income, the estimated

income elasticity of demand for leisure time over those 24 years is 30.5/37.7 [approximately equal to] 0.81, which is strongly positive.

Irrigated production of crops in temperate regions is dominated by "commodity crops" such as corn, alfalfa, cotton, and rice that have an elastic market demand, and a negligible or negative

income elasticity of demand. In contrast, the revenue from irrigated agricultural production in California and other arid areas is dominated by "middle class crops" such as fruits, nuts, and vegetables which have inelastic price and income elasticities of demand that are positive and quite significant.

It has long been argued that environmental quality is a luxury good, with an

income elasticity of demand greater than one (Kristom and Riera, 1996).

Consistent usage would require that the

income elasticity of demand be defined as the responsiveness of the change in demand to a change in income in percentage terms.

The positive sign of the

income elasticity of demand indicates that electricity is a normal good.

Three types of income elasticity are computed from the two-part model: income elasticity of participation, income elasticity of consumption and total

income elasticity of demand. The income elasticity of participation is computed by using the average of the partial derivatives from the Probit model, and represents the percentage change in the smoking participation at the personal level caused by 1 percent change in disposable income.