More tricks with the lorenz curve

The present note is an elementary essay on how one may manipulate the Lorenz curve with a view to obtaining a couple of simple variants of the Gini coefficient of inequality, one of which is anti transfer-sensitive and the other pro transfer-sensitive, and which together, in convex combination, yield up the transfer-neutral Gini coefficient. The emphasis throughout is on the practical concerns of exposition, intuitive plausibility, and the advancement of easily comprehended and readily usable measures of inequality.