The amp;apos'prediction approachamp;apos' proposed by Dearden, Machin and Reed (DMR) consists in (1) regressing the observed incomes of the child and parent families on separate sets of predetermined variables, and (2) regressing the childamp;apos's predicted income on that of the parents....

We establish a general relationship between the standard form of the individualistic social-welfare function and the ?reduced-form? version that is expressed in terms of inequality and mean income. This shows the relationship between the property of monotonicity and the slope of the...